Nowości - Zaklad Optyki Atomowej, Atomic Optics Department

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Conferences

06-10.09.2025 - A Panorama of Tensor Networks: from Condensed Matter to Quantum Field Theory, Holography and Beyond

More details on conference website.

01-15.09.2025 - Quantum Optics XI

More details na stronie konferencji.

16-17.07.2025 - Time Crystals Conference 2025

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20-22.02.2024 - Workshop on Quantum Simulators of the Future: From Dynamical Gauge Fields to Lattice Gauge Theories | (smr 3922)

An ICTP Meeting This Workshop will gather world-leading groups that design, realize, and characterize a new generation of simulators with ultracold atoms and beyond. It will address novel quantum simulators of statistical gauge fields, dynamical lattices, and lattice gauge theory models (LGT), as well as connections to quantum computing and tensor network methods. https://indico.ictp.it/event/10460

06-08.09.2023 - Time Crystals Conference

27.06-2.07.2022 - 6th Workshop on Algebraic Designs, Hadamard Matrices & Quanta

More details on conference website.

05-11.09.2021 - Quantum Optics X

More details on conference website.

Karol Życzkowski
	Profesor Jagiellonian Quantum Information Team Group page:[link] Room: B-1-38 Phone: 4780 www: [link] email ORCID: 0000-0002-0653-3639 Publons

Publications

	2025
[1]	Ł. Grzelka, Ł. Skowronek, K. Życzkowski Effective criteria for entanglement witnesses in small dimensions ArXiv e-prints, 2506.09298 (2025).
[2]	D. Chruściński, S. Denisov, W. Tarnowski, K. Życzkowski Spectral delineation of Markov Generators: Classical vs Quantum ArXiv e-prints, 2504.07903 (2025).
[3]	B. Casas, G. Rajchel-Mieldzioć, S. Rather, M. Płodzień, W. Bruzda, A. Cervera-Lierta, K. Życzkowski Quantum Circuits for High-Dimensional Absolutely Maximally Entangled States ArXiv e-prints, 2504.05394 (2025).
[4]	R. Bistroń, M. Rudziński, R. Kukulski, K. Życzkowski Benchmarking quantum devices beyond classical capabilities ArXiv e-prints, 2502.02575 (2025).
[5]	S. Lorenzo, F. Plastina, T. Apollaro, M. Consiglio, K. Życzkowski Distribution of fidelity in quantum state transfer protocols Physics Letters, Section A: General, Atomic and Solid State Physics 533,130224 (2025). [arxiv]
[6]	R. Bistroń, M. Hontarenko, K. Zyczkowski Bulk-boundary correspondence from hyperinvariant tensor networks Physical Review D 111,026006 (2025). [arxiv]
[7]	R. Kukulski, P. Lewandowska, K. Życzkowski Shared entanglement for three-party causal order guessing game New Journal of Physics 27,013012 (2025). [arxiv]
[8]	J. Czartowski, K. Zyczkowski Quantum pushforward designs Physical Review A 111,032433 (2025). [arxiv]
[9]	R. Bistroń, M. Eckstein, S. Friedland, T. Miller, K. Życzkowski A new class of distances on complex projective spaces Linear Algebra and Its Applications 721,577-611 (2025).
[10]	V. Avella, J. Czartowski, D. Goyeneche, K. Życzkowski Cyclic measurements and simplified quantum state tomography Quantum 9, (2025). [arxiv]
	2024
[11]	A. Rico, M. Bermejo-Morán, F. Shahbeigi, K. Życzkowski Certifying nonlocal properties of noisy quantum operations ArXiv e-prints, 2407.02570 (2024).
[12]	R. Salazar, J. Czartowski, R. Rodríguez, G. Rajchel-Mieldzioć, P. Horodecki, K. Życzkowski Quantum Resource Theories beyond Convexity ArXiv e-prints, 2405.05785 (2024).
[13]	N. Buruaga, R. Bistroń, M. Rudziński, R. Pereira, K. Życzkowski, P. Ribeiro Fidelity decay and error accumulation in quantum volume circuits ArXiv e-prints, 2404.11444 (2024).
[14]	M. Rudziński, A. Burchardt, K. Życzkowski Orthonormal bases of extreme quantumness Quantum 8, (2024). [arxiv]
[15]	F. Del Santo, J. Czartowski, K. Zyczkowski, N. Gisin Iso-entangled bases and joint measurements Physical Review Research 6,023085 (2024). [arxiv]
[16]	J. Czartowski, K. Życzkowski, D. Braun Minimal-noise estimation of noncommuting rotations of a spin Quantum 8, (2024). [arxiv]
[17]	W. Bruzda, K. Życzkowski Two-unitary complex Hadamard matrices of order 36 Special Matrices 12,20240010 (2024). [arxiv]
[18]	W. Bruzda, G. Rajchel-Mieldzioć, K. Zyczkowski Multi-Unitary Complex Hadamard Matrices Open Systems and Information Dynamics 31,2450008 (2024). [arxiv]
[19]	W. Bruzda, S. Friedland, K. Życzkowski Rank of a tensor and quantum entanglement Linear and Multilinear Algebra 72,1796-1859 (2024).
[20]	D. Bussandri, G. Rajchel-Mieldzioć, P. Lamberti, K. Zyczkowski Rényi-Holevo inequality from α-z-Rényi relative entropies International Journal of Quantum Information ,2440015 (2024). [arxiv]
[21]	A. Rico, K. Życzkowski Discrete dynamics in the set of quantum measurements Journal of Physics A: Mathematical and Theoretical 57,435302 (2024). [arxiv]
[22]	R. Bistroń, M. Eckstein, S. Friedland, T. Miller, K. Życzkowski A new class of distances on complex projective spaces Linear Algebra and Its Applications , (2024). [arxiv]
[23]	P. Horodecki, Ł. Rudnicki, K. Życzkowski Multipartite Entanglement Encyclopedia of Mathematical Physics, Second Edition: Volumes 1-5 1-5,V2:135-V2:150 (2024). [arxiv]
	2023
[24]	Ł. Pawela, K. Życzkowski Matrix logistic map: fractal spectral distributions and transfer of chaos ArXiv e-prints, 2303.06176 (2023).
[25]	T. Apollaro, S. Lorenzo, F. Plastina, M. Consiglio, K. Życzkowski Entangled States Are Harder to Transfer than Product States Entropy 25,46 (2023). [arxiv]
[26]	R. Bistroń, M. Eckstein, K. Życzkowski Monotonicity of a quantum 2-Wasserstein distance Journal of Physics A: Mathematical and Theoretical 56,095301 (2023). [arxiv]
[27]	K. Zyczkowski, W. Bruzda, G. Rajchel-Mieldzioć, A. Burchardt, S. Ahmad Rather, A. Lakshminarayan 9 × 4 = 6 × 6: Understanding the Quantum Solution to Euler's Problem of 36 Officers Journal of Physics: Conference Series 2448,012003 (2023). [arxiv]
[28]	W. Bruzda, S. Friedland, K. Życzkowski Rank of a tensor and quantum entanglement Linear and Multilinear Algebra , (2023).
[29]	S. Cole, M. Eckstein, S. Friedland, K. Życzkowski On Quantum Optimal Transport Mathematical Physics Analysis and Geometry 26,14 (2023). [arxiv]
[30]	D. Wójcik, K. Życzkowski Fractality of Certain Quantum States Acta Physica Polonica A 143,S146-S157 (2023). [arxiv]
[31]	D. Bussandri, P. Lamberti, K. Zyczkowski Transmission distance in the space of quantum channels Physical Review A 108,012604 (2023). [arxiv]
[32]	K. Życzkowski Quantum Version of Euler’s Problem: A Geometric Perspective Trends in Mathematics Part F1183,105-133 (2023). [arxiv]
[33]	W. Tarnowski, D. Chruściński, S. Denisov, K. Życzkowski Random Lindblad Operators Obeying Detailed Balance Open Systems and Information Dynamics 30,2350007 (2023). [arxiv]
[34]	I. Chełstowski, G. Rajchel-Mieldzioć, K. Życzkowski Operation fidelity explored by numerical range of Kraus operators Physical Review A 108,022409 (2023). [arxiv]
[35]	D. Goyeneche, W. Bruzda, O. Turek, D. Alsina, K. Zyczkowski Local hidden variable values without optimization procedures Quantum 7,02911 (2023). [arxiv]
[36]	R. Bistroń, W. Śmiałek, K. Życzkowski Tristochastic operations and products of quantum states Journal of Physics A: Mathematical and Theoretical 56,455301 (2023). [arxiv]
	2022
[37]	G. Rajchel-Mieldzioć, K. Korzekwa, Z. Puchała, K. Zyczkowski Algebraic and geometric structures inside the Birkhoff polytope Journal of Mathematical Physics 63,012202 (2022). [arxiv]
[38]	S. Rather, A. Burchardt, W. Bruzda, G. Rajchel-Mieldzioć, A. Lakshminarayan, K. Zyczkowski Thirty-six Entangled Officers of Euler: Quantum Solution to a Classically Impossible Problem Physical Review Letters 128,080507 (2022). [arxiv]
[39]	K. Korzekwa, Z. Puchala, M. Tomamichel, K. Zyczkowski Encoding classical information into quantum resources IEEE Transactions on Information Theory , (2022). [arxiv]
[40]	S. Friedland, M. Eckstein, S. Cole, K. Zyczkowski Quantum Monge-Kantorovich Problem and Transport Distance between Density Matrices Physical Review Letters 129,110402 (2022). [arxiv]
[41]	T. Apollaro, S. Lorenzo, F. Plastina, M. Consiglio, K. Życzkowski Quantum transfer of interacting qubits New Journal of Physics 24,083025 (2022). [arxiv]
[42]	K. Sadri, F. Shahbeigi, Z. Puchała, K. Zyczkowski Accessible Maps in a Group of Classical or Quantum Channels Open Systems and Information Dynamics 29,2250002 (2022). [arxiv]
[43]	P. Horodecki, Ł. Rudnicki, K. Zyczkowski Five Open Problems in Quantum Information Theory PRX Quantum 3,010101 (2022). [arxiv]
[44]	W. Kłobus, P. Kurzyński, M. Kuś, W. Laskowski, R. Przybycień, K. Zyczkowski Transition from order to chaos in reduced quantum dynamics Physical Review E 105,034201 (2022). [arxiv]
[45]	A. Junior, J. Czartowski, K. Zyczkowski, K. Korzekwa Geometric structure of thermal cones Physical Review E 106,064109 (2022). [arxiv]
	2021
[46]	A. Burchardt, J. Czartowski, K. Zyczkowski Entanglement in highly symmetric multipartite quantum states Physical Review A 104,022426 (2021). [arxiv]
[47]	T. Simnacher, J. Czartowski, K. Szymański, K. Życzkowski Confident entanglement detection via the separable numerical range Physical Review A 104,A9 (2021). [arxiv]
[48]	J. Paczos, M. Wierzbiński, G. Rajchel-Mieldzioć, A. Burchardt, K. Życzkowski Genuinely quantum solutions of the game Sudoku and their cardinality Physical Review A 104,A12 (2021). [arxiv]
[49]	Z. Puchała, K. Korzekwa, R. Salazar, P. Horodecki, K. Zyczkowski Dephasing superchannels Physical Review A 104,A24 (2021). [arxiv]
[50]	K. Szymański, K. Zyczkowski Universal witnesses of vanishing energy gap EPL 136,30003 (2021). [arxiv]
[51]	K. Zyczkowski Three Favourite Dimensions of Andrzej: Along His Path to a Scientific Discovery Open Systems and Information Dynamics 28,2150017 (2021). [arxiv]
[52]	W. Tarnowski, I. Yusipov, T. Laptyeva, S. Denisov, D. Chruściński, K. Zyczkowski Random generators of Markovian evolution: A quantum-classical transition by superdecoherence Physical Review E 104,034118 (2021). [arxiv]
[53]	G. Chiribella, E. Aurell, K. Zyczkowski Symmetries of quantum evolutions Physical Review Research 3,033028 (2021). [arxiv]
[54]	F. Shahbeigi, K. Sadri, M. Moradi, K. Zyczkowski, V. Karimipour Quasi-inversion of quantum and classical channels in finite dimensions Journal of Physics A: Mathematical and Theoretical 54,345301 (2021). [arxiv]
[55]	F. Shahbeigi, D. Amaro-Alcalá, Z. Puchała, K. Życzkowski Log-convex set of Lindblad semigroups acting on N-level system Journal of Mathematical Physics 62,072105 (2021). [arxiv]
[56]	J. Czartowski, R. Müller, K. Zyczkowski, D. Braun Perfect quantum-state synchronization Physical Review A 104,012410 (2021). [arxiv]
[57]	C. Chryssomalakos, L. Hanotel, E. Guzmán-González, D. Braun, E. Serrano-Ensástiga, K. Zyczkowski Symmetric multiqudit states: Stars, entanglement, and rotosensors Physical Review A 104,012407 (2021). [arxiv]
[58]	R. Kukulski, I. Nechita, Ł. Pawela, Z. Puchała, K. Zyczkowski Generating random quantum channels Journal of Mathematical Physics 62,062201 (2021). [arxiv]
[59]	S. Gnutzmann, T. Guhr, H. Schomerus, K. Życzkowski Special issue in honour of the life and work of Fritz Haake Journal of Physics A: Mathematical and Theoretical 54,130301 (2021).
[60]	R. Salazar, T. Biswas, J. Czartowski, K. Życzkowski, P. Horodecki Optimal allocation of quantum resources Quantum 5, (2021). [arxiv]
[61]	J. Czartowski, K. Życzkowski Bipartite quantum measurements with optimal single-sided distinguishability Quantum 5, (2021). [arxiv]
	2020
[62]	J. Czartowski, D. Goyeneche, M. Grassl, K. Życzkowski Isoentangled Mutually Unbiased Bases, Symmetric Quantum Measurements, and Mixed-State Designs Phys. Rev. Lett. 124,090503 (2020). [arxiv]
[63]	K. Szymański, K. Życzkowski Geometric and algebraic origins of additive uncertainty relations Journal of Physics A: Mathematical and Theoretical 53,015302 (2020). [arxiv]
[64]	B. Jonnadula, P. Mandayam, K. Życzkowski, A. Lakshminarayan Entanglement measures of bipartite quantum gates and their thermalization under arbitrary interaction strength Phys. Rev. Research 2,043126 (2020). [arxiv]
[65]	D. Boratyn, W. Kirsch, W. Słomczyński, D. Stolicki, K. Życzkowski Average weights and power in weighted voting games Mathematical Social Sciences 108,90-99 (2020). [arxiv]
	2019
[66]	S. Denisov, T. Laptyeva, W. Tarnowski, D. Chruściński, K. Życzkowski Universal Spectra of Random Lindblad Operators Phys. Rev. Lett. 123,140403 (2019). [arxiv]
[67]	G. Quinta, R. André, A. Burchardt, K. Życzkowski Cut-resistant links and multipartite entanglement resistant to particle loss Phys. Rev. A 100,062329 (2019). [arxiv]
[68]	J. Czartowski, K. Szymański, B. Gardas, Y. Fyodorov, K. Życzkowski Separability gap and large-deviation entanglement criterion Phys. Rev. A 100,042326 (2019). [arxiv]
[69]	W. Kłobus, A. Burchardt, A. Kołodziejski, M. Pandit, T. Vértesi, K. Życzkowski, W. Laskowski $k$-uniform mixed states Phys. Rev. A 100,032112 (2019). [arxiv]
[70]	K. Korzekwa, S. Czachórski, Z. Puchała, K. Życzkowski Distinguishing classically indistinguishable states and channels Journal of Physics A: Mathematical and Theoretical 52,475303 (2019). [arxiv]
[71]	J. Czartowski, D. Braun, K. Zyczkowski Trade-off relations for operation entropy of complementary quantum channels International Journal of Quantum Information 17,1950040 (2019). [arxiv]
[72]	Z. Puchała, Ł. Rudnicki, K. Życzkowski Pauli semigroups and unistochastic quantum channels Physics Letters, Section A: General, Atomic and Solid State Physics 383,2376-2381 (2019). [arxiv]
	2018
[73]	A. Mandarino, T. Linowski, K. Życzkowski Bipartite unitary gates and billiard dynamics in the Weyl chamber Phys. Rev. A 98,012335 (2018). [arxiv]
[74]	D. Goyeneche, Z. Raissi, S. Di Martino, K. Życzkowski Entanglement and quantum combinatorial designs Phys. Rev. A 97,062326 (2018). [arxiv]
[75]	M. Białończyk, A. Jamiołkowski, K. Życzkowski Application of Shemesh theorem to quantum channels Journal of Mathematical Physics 59,102204 (2018). [arxiv]
[76]	L. Seveso, D. Goyeneche, K. Życzkowski Coarse-grained entanglement classification through orthogonal arrays Journal of Mathematical Physics 59,072203 (2018). [arxiv]
[77]	I. Nechita, Z. Puchała, &. Pawela, K. Życzkowski Almost all quantum channels are equidistant Journal of Mathematical Physics 59,052201 (2018). [arxiv]
[78]	K. Korzekwa, S. Czachórski, Z. Puchała, K. Życzkowski Coherifying quantum channels New Journal of Physics 20,043028 (2018). [arxiv]
[79]	K. Szymański, S. Weis, K. Życzkowski Classification of joint numerical ranges of three hermitian matrices of size three Linear Algebra and Its Applications 545,148-173 (2018). [arxiv]
[80]	G. Rajchel, A. Gąsiorowski, K. Życzkowski Robust Hadamard Matrices, Unistochastic Rays in Birkhoff Polytope and Equi-Entangled Bases in Composite Spaces Mathematics in Computer Science 12,473-490 (2018). [arxiv]
[81]	M. Enríquez, F. Delgado, K. Zyczkowski Entanglement of three-qubit random pure states Entropy 20,745 (2018). [arxiv]
	2017
[82]	W. Bruzda, D. Goyeneche, K. Życzkowski Quantum measurements with prescribed symmetry Phys. Rev. A 96,022105 (2017). [arxiv]
[83]	B. Jonnadula, P. Mandayam, K. Życzkowski, A. Lakshminarayan Impact of local dynamics on entangling power Phys. Rev. A 95,040302 (2017).
[84]	M. Markiewicz, Z. Puchała, A. de Rosier, W. Laskowski, K. Życzkowski Quantum noise generated by local random Hamiltonians Phys. Rev. A 95,032333 (2017). [arxiv]
[85]	I. Bengtsson, K. Zyczkowski Geometry of quantum states: An introduction to quantum entanglement Geometry of Quantum States: An Introduction to Quantum Entanglement ,1-619 (2017).
[86]	B. Collins, T. Kousha, R. Kulik, T. Szarek, K. Zyczkowski The accessibility of convex bodies and derandomization of the hit and run algorithm Journal of Convex Analysis 24, (2017). [arxiv]
[87]	P. Lipka-Bartosik, K. Życzkowski Nuclear numerical range and quantum error correction codes for non-unitary noise models Quantum Information Processing 16,9 (2017). [arxiv]
	2016
[88]	D. Alsina, A. Cervera, D. Goyeneche, J. Latorre, K. Życzkowski Operational approach to Bell inequalities: Application to qutrits Phys. Rev. A 94,032102 (2016). [arxiv]
[89]	D. Goyeneche, J. Bielawski, K. \.fZyczkowski Multipartite entanglement in heterogeneous systems Phys. Rev. A 94,012346 (2016). [arxiv]
[90]	R. Adamczak, R. Latała, Z. Puchała, K. Życzkowski Asymptotic entropic uncertainty relations Journal of Mathematical Physics 57,032204 (2016).
[91]	Z. Puchała, &. Pawela, K. Życzkowski Distinguishability of generic quantum states Phys. Rev. A 93,062112 (2016). [arxiv]
[92]	M. Smaczyński, W. Roga, K. Zyczkowski Selfcomplementary Quantum Channels Open Systems and Information Dynamics 23,1650014 (2016).
[93]	M. Enríquez, I. Wintrowicz, K. Zyczkowski Maximally Entangled Multipartite States: A Brief Survey Journal of Physics: Conference Series 698,012003 (2016).
	2015
[94]	K. Bartkiewicz, P. Horodecki, K. Lemr, A. Miranowicz, K. Życzkowski Method for universal detection of two-photon polarization entanglement Phys. Rev. A 91,032315 (2015). [arxiv]
[95]	W. Młotkowski, M. Nowak, K. Penson, K. Życzkowski Spectral density of generalized Wishart matrices and free multiplicative convolution Phys. Rev. E 92,012121 (2015). [arxiv]
[96]	M. Enriquez, Z. Puchała, K. Życzkowski Minimal Renyi-Ingarden-Urbanik entropy of multipartite quantum states ArXiv e-prints, 1506.04788 (2015). [arxiv]
[97]	D. Goyeneche, D. Alsina, J. Latorre, A. Riera, K. Życzkowski Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices Phys. Rev. A 92,032316 (2015). [arxiv]
[98]	Z. Puchała, &. Rudnicki, K. Chabuda, M. Paraniak, K. Życzkowski Certainty relations, mutual entanglement, and nondisplaceable manifolds Phys. Rev. A 92,032109 (2015). [arxiv]
[99]	T. Durt, B. Englert, I. Bengtsson, K. Życzkowski Mutually unbiased bases and the mean king’s problem: On mutually unbiased bases Quantum Paths: Festschrift in Honor of Berge Englert on his 60th Birthday ,141-149 (2015). [arxiv]
	2014
[100]	A. Rastegin, K. Życzkowski Jarzynski equality for quantum stochastic maps Phys. Rev. E 89,012127 (2014). [arxiv]
[101]	&. Rudnicki, Z. Puchała, K. Życzkowski Strong majorization entropic uncertainty relations Phys. Rev. A 89,052115 (2014). [arxiv]
[102]	D. Goyeneche, K. Życzkowski Genuinely multipartite entangled states and orthogonal arrays Phys. Rev. A 90,022316 (2014). [arxiv]
[103]	A. Lakshminarayan, Z. Puchała, K. Życzkowski Diagonal unitary entangling gates and contradiagonal quantum states Phys. Rev. A 90,032303 (2014). [arxiv]
[104]	R. Adamczak, R. Latała, Z. Puchała, K. Życzkowski Asymptotic entropic uncertainty relations ArXiv e-prints, 1412.7065 (2014). [arxiv]
[105]	&. Rudnicki, Z. Puchała, P. Horodecki, K. Życzkowski Constructive entanglement test from triangle inequality J. Phys. A: Math. Theor. 47,424035 (2014). [arxiv]
[106]	R. E., K. Życzkowski Jarzynski equality for quantum stochastic maps Phys. Rev. E 89,012127 (2014).
	2013
[107]	S. Braunstein, S. Pirandola, K. Życzkowski Better Late than Never: Information Retrieval from Black Holes Phys. Rev. Lett. 110,101301 (2013). [arxiv]
[108]	M. Musz, M. Kuś, K. Życzkowski Publisher's Note: Unitary quantum gates, perfect entanglers, and unistochastic maps [Phys. Rev. A 87, 022111 (2013)] Phys. Rev. A 87,029904 (2013). [arxiv]
[109]	M. Musz, M. Kuś, K. Życzkowski Unitary quantum gates, perfect entanglers, and unistochastic maps Phys. Rev. A 87,022111 (2013).
[110]	W. Roga, Z. Puchała, &. Rudnicki, K. Życzkowski Entropic trade-off relations for quantum operations Phys. Rev. A 87,032308 (2013). [arxiv]
[111]	P. Kondratiuk, K. Życzkowski Random unitary matrices associated to a graph Acta Phys. Pol. A 124,1098 (2013). [arxiv]
[112]	B. Collins, T. Kousha, R. Kulik, T. Szarek, K. Życzkowski Exponentially convergent algorithm to generate random points in a d-dimensional body ArXiv e-prints, 1312.7061 (2013).
[113]	M. Demianowicz, P. Horodecki, K. Życzkowski Multiaccess quantum communication and product higher rank numerical range Quant. Inf. Comp. 13,0541-0566 (2013). [arxiv]
[114]	W. Mlotkowski, K. Penson, K. Życzkowski Densities of the Raney Distributions Documenta Mathematica 18,1573 (2013). [arxiv]
[115]	M. Smaczyński, T. Tkocz, M. Kua, K. Zyczkowski Extremal spacings between eigenphases of random unitary matrices and their tensor products Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 88,052902 (2013). [arxiv]
[116]	K. Zyczkowski, W. Słomczyński Square root voting system, optimal threshold and π Power, Voting, and Voting Power: 30 Years After ,573-592 (2013). [arxiv]
[117]	I. Bengtsson, S. Weis, K. Zyczkowski Geometry of the set of mixed quantum states: An apophatic approach Trends in Mathematics 59,175-197 (2013). [arxiv]
[118]	W. Słomczyński, K. Życzkowski Jagiellonian compromise - An alternative voting system for the council of the European union Institutional Design and Voting Power in the European Union ,43-58 (2013).
[119]	M. Cichocki, K. Życzkowski Institutional design and voting power in the European union Institutional Design and Voting Power in the European Union ,1-298 (2013).
[120]	W. Słomczyński, K. Życzkowski On bounds for allocation of seats in the European parliament Institutional Design and Voting Power in the European Union ,269-282 (2013).
	2012
[121]	W. Ganczarek, M. Kuś, K. Życzkowski Barycentric measure of quantum entanglement Phys. Rev. A 85,032314 (2012). [arxiv]
[122]	&. Rudnicki, Z. Puchała, P. Horodecki, K. Życzkowski Collectibility for mixed quantum states Phys. Rev. A 86,062329 (2012). [arxiv]
[123]	T. Banica, I. Nechita, K. Zyczkowski Almost hadamard matrices: General theory and examples Open Systems and Information Dynamics 19,1250024 (2012). [arxiv]
[124]	T. Tkocz, M. Smaczyński, M. Kus, O. Zeitouni, K. Zyczkowski Tensor Products of Random Unitary Matrices Random Matrices: Theory and Application 1,1250009 (2012). [arxiv]
[125]	M. Fannes, F. de Melo, W. Roga, K. Zyczkowski Matrices of fidelities for ensembles of quantum states and the Holevo quantity Quantum Information and Computation 12,472-489 (2012). [arxiv]
	2011
[126]	K. Penson, K. Życzkowski Product of Ginibre matrices: Fuss-Catalan and Raney distributions Phys. Rev. E 83,061118 (2011). [arxiv]
[127]	&. Rudnicki, P. Horodecki, K. Życzkowski Collective Uncertainty Entanglement Test Phys. Rev. Lett. 107,150502 (2011). [arxiv]
[128]	K. Zyczkowski, K. Penson, I. Nechita, B. Collins Generating random density matrices Journal of Mathematical Physics 52,062201 (2011). [arxiv]
[129]	W. Roga, M. Smaczynski, K. Zyczkowski Composition of quantum operations and products of random matrices Acta Physica Polonica B 42,1123-1140 (2011). [arxiv]
[130]	W. Roga, K. Zyczkowski, M. Fannes Entropic characterization of quantum operations International Journal of Quantum Information 9,1031-1045 (2011). [arxiv]
	2010
[131]	W. Bruzda, M. Smaczyński, V. Cappellini, H. Sommers, K. Życzkowski Universality of spectra for interacting quantum chaotic systems Phys. Rev. E 81,066209 (2010). [arxiv]
[132]	B. Khoruzhenko, H. Sommers, K. Życzkowski Truncations of random orthogonal matrices Phys. Rev. E 82,040106 (2010). [arxiv]
[133]	W. Roga, M. Fannes, K. Życzkowski Universal Bounds for the Holevo Quantity, Coherent Information, and the Jensen-Shannon Divergence Phys. Rev. Lett. 105,040505 (2010). [arxiv]
[134]	M. Cichocki, K. Zyczkowski Institutional design and voting power in the European Union Institutional Design and Voting Power in the European Union ,1-298 (2010).
[135]	W. Słomczyński, K. Zyczkowski Jagiellonian compromise - An alternative voting system for the council of the European Union Institutional Design and Voting Power in the European Union ,43-57 (2010).
[136]	P. Gawron, Z. Puchała, J. Miszczak, Ł. Skowronek, K. Zyczkowski Restricted numerical range: A versatile tool in the theory of quantum information Journal of Mathematical Physics 51,102204 (2010). [arxiv]
[137]	K. Zyczkowski Citation graph, weighted impact factors and performance indices Scientometrics 85,301-315 (2010). [arxiv]
[138]	K. Majgier, H. Maassen, K. Życzkowski Protected subspaces in quantum information Quantum Information Processing 9,343-367 (2010). [arxiv]
	2009
[139]	W. Bruzda, V. Cappellini, H. Sommers, K. Życzkowski Random quantum operations Physics Letters A 373,320--324 (2009). [arxiv]
[140]	C. Dunkl, K. Życzkowski Volume of the set of unistochastic matrices of order 3 and the mean Jarlskog invariant Journal of Mathematical Physics 50,- (2009). [arxiv]
[141]	&. Skowronek, E. Størmer, K. Życzkowski Cones of positive maps and their duality relations Journal of Mathematical Physics 50,- (2009). [arxiv]
[142]	J. Miszczak, Z. PuchaŁa, P. Horodecki, A. Uhlmann, K. Zyczkowski Sub- and super-fidelity as bounds for quantum fidelity Quantum Information and Computation 9,103-130 (2009). [arxiv]
	2008
[143]	E. Bollt, P. Góra, A. Ostruszka, K. Życzkowski Basis Markov Partitions and Transition Matrices for Stochastic Systems SIAM Journal on Applied Dynamical Systems 7,341-360 (2008). [arxiv]
[144]	H. Carteret, D. Terno, K. Życzkowski Dynamics beyond completely positive maps: Some properties and applications Phys. Rev. A 77,042113 (2008).
[145]	D. Markham, J. Miszczak, Z. Puchała, K. Życzkowski Quantum state discrimination: A geometric approach Phys. Rev. A 77,042111 (2008). [arxiv]
[146]	S. Szarek, E. Werner, K. Życzkowski Geometry of sets of quantum maps: A generic positive map acting on a high-dimensional system is not completely positive Journal of Mathematical Physics 49,- (2008). [arxiv]
[147]	D. Kribs, A. Pasieka, K. Zyczkowski Entropy of a quantum error correction code Open Systems and Information Dynamics 15,329-343 (2008). [arxiv]
	2007
[148]	I. Bengtsson, W. Bruzda, \. Ericsson, J. Larsson, W. Tadej, K. Życzkowski Mutually unbiased bases and Hadamard matrices of order six Journal of Mathematical Physics 48,- (2007). [arxiv]
[149]	V. Cappellini, H. Sommers, K. Życzkowski Subnormalized states and trace-nonincreasing maps Journal of Mathematical Physics 48,- (2007). [arxiv]
	2006
[150]	I. Bengtsson, K. Życzkowski Geometry of quantum states: an introduction to quantum entanglement , (2006).
[151]	V. Cappellini, H. Sommers, K. Życzkowski Distribution of $G$ concurrence of random pure states Phys. Rev. A 74,062322 (2006). [arxiv]
[152]	W. Tadej, K. Życzkowski A concise guide to complex Hadamard matrices Open Systems \& Information Dynamics 13,133--177 (2006). [arxiv]
[153]	W. SŁomczyński, K. Zyczkowski Penrose voting system and optimal quota Acta Physica Polonica B 37,3133-3143 (2006). [arxiv]
[154]	K. Zyczkowski, W. Słomczyński, T. Zastawniak Physics for fairer voting Physics World 19,35-37 (2006).
	2005
[155]	K. Życzkowski, H. Sommers Average fidelity between random quantum states Phys. Rev. A 71,032313 (2005). [arxiv]
[156]	I. Bengtsson, Å. Ericsson, M. Kuś, W. Tadej, K. Zyczkowski Birkhoff's polytope and unistochastic matrices, N = 3 and N = 4 Communications in Mathematical Physics 259,307-324 (2005). [arxiv]
	2004
[157]	A. Kenfack, K. Zyczkowski Negativity of the Wigner function as an indicator of non-classicality Journal of Optics B: Quantum and Semiclassical Optics 6,396-404 (2004). [arxiv]
[158]	H. Sommers, K. Zyczkowski Statistical properties of random density matrices Journal of Physics A: Mathematical and General 37,8457-8466 (2004). [arxiv]
[159]	R. Alicki, A. Łoziński, P. Pakoński, K. Zyczkowski Quantum dynamical entropy and decoherence rate Journal of Physics A: Mathematical and General 37,5157-5172 (2004). [arxiv]
[160]	O. Hul, S. Bauch, P. Pakoński, N. Savytskyy, K. Zyczkowski, L. Sirko Experimental simulation of quantum graphs by microwave networks Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 69,056205 (2004). [arxiv]
[161]	F. Mintert, K. Życzkowski Wehrl entropy, Lieb conjecture, and entanglement monotones Physical Review A - Atomic, Molecular, and Optical Physics 69,11 (2004). [arxiv]
[162]	K. Życzkowski, I. Bengtsson On duality between quantum maps and quantum states Open Systems and Information Dynamics 11,3-42 (2004). [arxiv]
	2003
[163]	A. Ostruszka, C. Manderfeld, K. Zyczkowski, F. Haake Quantization of classical maps with tunable Ruelle-Pollicott resonances Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 68,056201, 562011-5620112 (2003). [arxiv]
[164]	H. Sommers, K. Zyczkowski Bures volume of the set of mixed quantum states Journal of Physics A: Mathematical and General 36,10083-10100 (2003). [arxiv]
[165]	A. Łoziński, K. Zyczkowski, W. Slomczyński Quantum iterated function systems Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 68,046110, 461101-461109 (2003). [arxiv]
[166]	A. Łoziński, A. Buchleitner, K. Zyczkowski, T. Wellens Entanglement of 2 × K quantum systems Europhysics Letters 62,168-174 (2003). [arxiv]
[167]	K. Zyczkowski, M. Kuś, W. Słomczyński, H. Sommers Random unistochastic matrices Journal of Physics A: Mathematical and General 36,3425-3450 (2003). [arxiv]
[168]	K. Życzkowski Rényi extrapolation of Shannon entropy Open Systems and Information Dynamics 10,297-310 (2003). [arxiv]
[169]	P. Pakoński, G. Tanner, K. Życzkowski Families of Line-Graphs and Their Quantization Journal of Statistical Physics 111,1331-1352 (2003). [arxiv]
	2002
[170]	I. Bengtsson, J. Brännlund, K. Zyczkowski CPⁿ, or, entanglement illustrated International Journal of Modern Physics A 17,4675-4695 (2002). [arxiv]
[171]	A. Łoziński, P. Pakoński, K. Życzkowski Irreversible quantum baker map Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 66,4 (2002). [arxiv]
[172]	M. Sinołecka, K. Zyczkowski, M. Kuś Manifolds of equal entanglement for composite quantum systems Acta Physica Polonica B 33,2081-2095 (2002).
[173]	K. Zyczkowski, I. Bengtsson Relativity of pure states entanglement Annals of Physics 295,115-135 (2002). [arxiv]
[174]	V. Kendon, K. Życzkowski, W. Munro Bounds on entanglement in qudit subsystems Physical Review A - Atomic, Molecular, and Optical Physics 66,7 (2002). [arxiv]
[175]	K. Zyczkowski, P. Horodecki, M. Horodecki, R. Horodecki Dynamics of quantum entanglement Physical Review A. Atomic, Molecular, and Optical Physics 65,012101, 121011-121019 (2002). [arxiv]
	2001
[176]	M. Kuś, K. Zyczkowski Geometry of entangled states Physical Review A - Atomic, Molecular, and Optical Physics 63,032307, 1-13 (2001). [arxiv]
[177]	S. Gnutzmann, K. Zyczkowski Rényi-Wehrl entropies as measures of localization in phase space Journal of Physics A: Mathematical and General 34,10123-10139 (2001). [arxiv]
[178]	P. Pakoński, K. Zyczkowski, M. Kuś Classical 1D maps, quantum graphs and ensembles of unitary matrices Journal of Physics A: Mathematical and General 34,9303-9317 (2001). [arxiv]
[179]	K. Zyczkowski, H. Sommers Induced measures in the space of mixed quantum states Journal of Physics A: Mathematical and General 34,7111-7125 (2001). [arxiv]
[180]	K. Zyczkowski, W. Słomczyński The Monge metric on the sphere and geometry of quantum states Journal of Physics A: Mathematical and General 34,6689-6722 (2001). [arxiv]
[181]	E. Bollt, T. Stanford, Y. Lai, K. Zyczkowski What symbolic dynamics do we get with a misplaced partition? : On the validity of threshold crossings analysis of chaotic time-series Physica D: Nonlinear Phenomena 154,259-286 (2001).
[182]	P. Braun, S. Gnutzmann, F. Haake, M. Kuś, K. Życzkowski Level dynamics and universality of spectral fluctuations Foundations of Physics 31,613-622 (2001). [arxiv]
[183]	K. Zyczkowski Localization of eigenstates and mean Wehrl entropy Physica E: Low-Dimensional Systems and Nanostructures 9,583-590 (2001). [arxiv]
	2000
[184]	E. Bollt, T. Stanford, Y. Lai, K. Zyczkowski Validity of threshold-crossing analysis of symbolic dynamics from chaotic time series Physical Review Letters 85,3524-3527 (2000). [arxiv]
[185]	K. Zyczkowski, Y. Lai Devil-staircase behavior of dynamical invariants in chaotic scattering Physica D: Nonlinear Phenomena 142,197-216 (2000).
[186]	P. Ashwin, X. Fu, T. Nishikawa, K. Zyczkowski Invariant sets for discontinuous parabolic area-preserving torus maps Nonlinearity 13,819-835 (2000). [arxiv]
[187]	K. Zyczkowski, H. Sommers Truncations of random unitary matrices Journal of Physics A: Mathematical and General 33,2045-2057 (2000). [arxiv]
[188]	D. Wójcik, I. Białynicki-Birula, K. Życzkowski Time evolution of quantum fractals Physical Review Letters 85,5022-5025 (2000). [arxiv]
[189]	A. Ostruszka, P. Pakoński, W. Słomczyński, K. Życzkowski Dynamical entropy for systems with stochastic perturbation Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 62,2018-2029 (2000). [arxiv]
[190]	W. Słomczyński, J. Kwapień, K. Zyczkowski Entropy computing via integration over fractal measures Chaos 10,180-188 (2000). [arxiv]
[191]	T. Kapitaniak, K. Zyczkowski, U. Feudel, C. Grebogi Analog to digital conversion in physical measurements Chaos, solitons and fractals 11,1247-1251 (2000). [arxiv]
	1999
[192]	P. Šeba, K. Zyczkowski, J. Zakrzewski On the 'nonuniversal' conductance of an almost ideal quantum wire Acta Physica Polonica B 30,2797-2810 (1999).
[193]	K. Zyczkowski, E. Bollt On the entropy devil's staircase in a family of gap-tent maps Physica D: Nonlinear Phenomena 132,392-410 (1999). [arxiv]
[194]	P. Pakoński, A. Ostruszka, K. Zyczkowski Quantum baker map on the sphere Nonlinearity 12,269-284 (1999). [arxiv]
[195]	K. Życzkowski Volume of the set of separable states. II Physical Review A - Atomic, Molecular, and Optical Physics 60,3496-3507 (1999).
[196]	Y. Lai, K. Życzkowski, C. Grebogi Universal behavior in the parametric evolution of chaotic saddles Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 59,5261-5265 (1999).
[197]	K. Zyczkowski, T. Nishikawa Linear parabolic maps on the torus Physics Letters, Section A: General, Atomic and Solid State Physics 259,377-386 (1999). [arxiv]
	1998
[198]	R. Gȩbarowski, P. Šeba, K. Zyczkowski, J. Zakrzewski Quantum scattering in the strip: From ballistic to localized regimes European Physical Journal B 6,399-409 (1998). [arxiv]
[199]	K. Zyczkowski, W. Słomczyński The Monge distance between quantum states Journal of Physics A: Mathematical and General 31,9095-9104 (1998). [arxiv]
[200]	W. Słomczyński, K. Życzkowski Mean dynamical entropy of quantum maps on the sphere diverges in the semiclassical limit Physical Review Letters 80,1880-1883 (1998).
[201]	M. Poźniak, K. Zyczkowski, M. Kuś Composed ensembles of random unitary matrices Journal of Physics A: Mathematical and General 31,1059-1071 (1998). [arxiv]
[202]	E. Aurell, K. Zyczkowski Risk-return arguments applied to options with trading costs Journal De Physique. IV : JP 8, (1998). [arxiv]
[203]	K. Życzkowski, P. Horodecki, A. Sanpera, M. Lewenstein Volume of the set of separable states Physical Review A - Atomic, Molecular, and Optical Physics 58,883-892 (1998).
	1997
[204]	J. Kwapień, W. Słomczyński, K. Zyczkowski Coherent states measurement entropy Journal of Physics A: Mathematical and General 30,3175-3200 (1997). [arxiv]
[205]	D. Braun, M. Kuś, K. Zyczkowski Time-reversal symmetry and random polynomials Journal of Physics A: Mathematical and General 30, (1997). [arxiv]
[206]	K. Życzkowski Scattering matrices with block symmetries Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 56,2257-2260 (1997). [arxiv]
	1996
[207]	P. Šeba, K. Życzkowski, J. Zakrzewski Statistical properties of random scattering matrices Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 54,2438-2446 (1996). [arxiv]
[208]	F. Haake, M. Kuś, H. Sommers, H. Schomerus, K. Zyczkowski Secular determinants of random unitary matrices Journal of Physics A: Mathematical and General 29,3641-3658 (1996). [arxiv]
[209]	K. Życzkowski, M. Kuś Interpolating ensembles of random unitary matrices Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 53,319-326 (1996).
	1995
[210]	I. Guarneri, K. Zyczkowski, J. Zakrzewski, L. Molinari, G. Casati Parametric spectral correlations of disordered systems in the Fourier domain Physical Review E 52,2220-2235 (1995). [arxiv]
[211]	K. Życzkowski, R. Serwicki Scaling laws of complex band random matrices Zeitschrift für Physik B Condensed Matter 99,449-455 (1995).
[212]	W. Słomczyński, K. Zyczkowski Erratum: Quantum chaos: An entropy approach (Journal of Mathematical Physics (1994) 35 (5674-5700)) Journal of Mathematical Physics 36,5201 (1995).
[213]	P. Gerwinski, F. Haake, H. Wiedemann, M. Ku, K. Zyczkowski Semiclassical spectra without periodic orbits for a kicked top Physical Review Letters 74,1562-1565 (1995).
[214]	K. Zyczkowski, W. Słomczyński Exponential decay of relative entropies to the Kolmogorov-Sinai entropy for the standard map Physical Review E 52,6879-6880 (1995).
	1994
[215]	K. Zyczkowski, M. Kus Random unitary matrices Journal of Physics A: General Physics 27,028, 4235-4245 (1994).
[216]	W. Słomczyński, K. Zyczkowski Quantum chaos: An entropy approach Journal of Mathematical Physics 35,5674-5700 (1994).
[217]	G. Casati, I. Guarneri, F. Izrailev, L. Molinari, K. Zyczkowski Periodic band random matrices, curvature, and conductance in disordered media Physical Review Letters 72,2697-2700 (1994).
[218]	A. Shudo, Y. Shimizu, P. Aeba, J. Stein, H. Stöckmann, K. Zyczkowski Statistical properties of spectra of pseudointegrable systems Physical Review E 49,3748-3756 (1994).
	1993
[219]	K. Zyczkowski, H. Wiedemann, W. Słomczyński How to generalize the Lapunov exponent for quantum mechanics Vistas in Astronomy 37,153-156 (1993).
	1992
[220]	G. Lenz, K. Zyczkowski Time-reversal symmetry breaking and the statistical properties of quantum systems Journal of Physics A: General Physics 25,013, 5539-5551 (1992).
[221]	F. Haake, H. Wiedemann, K. Życzkowski Lyapunov exponents from quantum dynamics Annalen der Physik 504,531-539 (1992).
[222]	K. Zyczkowski, M. Lewenstein, M. Ku, F. Izrailev Eigenvector statistics of random band matrices Physical Review A 45,811-815 (1992).
[223]	K. Zyczkowski, F. Haake Linewidth of a periodically pumped laser with sub-Poissonian photon statistics Quantum Optics: Journal of the European Optical Society Part B 4,002, 79-83 (1992).
	1991
[224]	M. Kua, J. Zakrzewski, K. Zyczkowski Quantum scars on a sphere Physical Review A 43,4244-4248 (1991).
[225]	B. Dietz, K. Zyczkowski Level-spacing distributions beyond the Wigner surmise Zeitschrift für Physik B Condensed Matter 84,157-158 (1991).
[226]	P. Aeba, K. Zyczkowski Wave chaos in quantized classically nonchaotic systems Physical Review A 44,3457-3465 (1991).
[227]	M. Kuś, K. Zyczkowski Relative randomness of quantum observables Physical Review A 44,956-959 (1991).
[228]	G. Lenz, K. Zyczkowski, D. Saher Scaling laws of the additive random-matrix model Physical Review A 44,8043-8050 (1991).
[229]	F. Haake, G. Lenz, P. Seba, J. Stein, H. Stöckmann, K. Zyczkowski Manifestation of wave chaos in pseudointegrable microwave resonators Physical Review A 44, (1991).
[230]	K. Życzkowski, G. Lenz Eigenvector statistics for the transitions from the orthogonal to the unitary ensemble Zeitschrift für Physik B Condensed Matter 82,299-303 (1991).
	1990
[231]	K. Zyczkowski Indicators of quantum chaos based on eigenvector statistics Journal of Physics A: Mathematical and General 23,005, 4427-4438 (1990).
[232]	F. Haake, K. Zyczkowski Random-matrix theory and eigenmodes of dynamical systems Physical Review A 42,1013-1016 (1990).
	1989
[233]	K. Zyczkowski Squeezed states in a quantum chaotic system Journal of Physics A: General Physics 22,003 (1989).
[234]	K. Zyczkowski Reply to Comment on Quantum chaotic system in the generalized Husimi representation Physical Review A 39,2751 (1989).
	1988
[235]	K. Zyczkowski, J. Zakrzewski Modulated kicks approximation in non-integrable classical and quantum systems Journal of Physics A: Mathematical and General 21,002 (1988).
	1987
[236]	J. Zakrzewski, K. Zyczkowski Simple model for strong-laser-field ionization Physical Review A 36,4311-4320 (1987).
[237]	J. Mostowski, K. Zyczkowski Phase space approach to above threshold ionization Zeitschrift für Physik D Atoms, Molecules and Clusters 5,293-298 (1987).
[238]	K. Zyczkowski Quantum chaotic system in the generalized Husimi representation Physical Review A 35,3546-3549 (1987).

Next seminars

Conferences

06-10.09.2025 - A Panorama of Tensor Networks: from Condensed Matter to Quantum Field Theory, Holography and Beyond

01-15.09.2025 - Quantum Optics XI

16-17.07.2025 - Time Crystals Conference 2025

20-22.02.2024 - Workshop on Quantum Simulators of the Future: From Dynamical Gauge Fields to Lattice Gauge Theories | (smr 3922)

06-08.09.2023 - Time Crystals Conference

27.06-2.07.2022 - 6th Workshop on Algebraic Designs, Hadamard Matrices & Quanta

05-11.09.2021 - Quantum Optics X

Karol Życzkowski

Publications