Next seminars

17 VIDavid Jennings (Imperial College London)
The cost of solving linear differential equations on a quantum computer
Location: F-1-04 and ZOOM
Online: [link], pass: on request!

Chaos and Quantum Info Seminar
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[Abstract, more info]

Conferences

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

More details on conference website.

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



2024
[1] R. Salazar, J. Czartowski, R. Rodríguez, G. Rajchel-Mieldzioć, P. Horodecki, K. Życzkowski
Quantum Resource Theories beyond Convexity
ArXiv e-prints, 2405.05785 (2024).
[2] S. Lorenzo, F. Plastina, T. Apollaro, M. Consiglio, K. Życzkowski
Distribution of Fidelity in Quantum State Transfer Protocols
ArXiv e-prints, 2405.02721 (2024).
[3] V. Avella, J. Czartowski, D. Goyeneche, K. Życzkowski
Cyclic measurements and simplified quantum state tomography
ArXiv e-prints, 2404.18847 (2024).
[4] 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).
[5] M. Rudziński, A. Burchardt, K. Życzkowski
Orthonormal bases of extreme quantumness
Quantum 8, (2024).
[arxiv]
[6] F. Del Santo, J. Czartowski, K. Zyczkowski, N. Gisin
Iso-entangled bases and joint measurements
Physical Review Research 6,023085 (2024).
[arxiv]
[7] J. Czartowski, K. Życzkowski, D. Braun
Minimal-noise estimation of noncommuting rotations of a spin
Quantum 8, (2024).
[arxiv]
[8] W. Bruzda, K. Życzkowski
Two-unitary complex Hadamard matrices of order 36
Special Matrices 12,20240010 (2024).
[arxiv]


2023
[9] R. Bistroń, M. Eckstein, S. Friedland, T. Miller, K. Życzkowski
A new class of distances on complex projective spaces
ArXiv e-prints, 2312.02583 (2023).
[10] D. Bussandri, G. Rajchel-Mieldzioć, P. Lamberti, K. Życzkowski
Rényi-Holevo inequality from $α$-$z$-Rényi relative entropies
ArXiv e-prints, 2309.04539 (2023).
[11] A. Rico, K. Życzkowski
Discrete dynamics in the set of quantum measurements
ArXiv e-prints, 2308.05835 (2023).
[12] W. Bruzda, G. Rajchel-Mieldzioć, K. Życzkowski
Multi-Unitary Complex Hadamard Matrices
ArXiv e-prints, 2306.00999 (2023).
[13] Ł. Pawela, K. Życzkowski
Matrix logistic map: fractal spectral distributions and transfer of chaos
ArXiv e-prints, 2303.06176 (2023).
[14] T. Apollaro, S. Lorenzo, F. Plastina, M. Consiglio, K. Życzkowski
Entangled States Are Harder to Transfer than Product States
Entropy 25,46 (2023).
[arxiv]
[15] R. Bistroń, M. Eckstein, K. Życzkowski
Monotonicity of a quantum 2-Wasserstein distance
Journal of Physics A: Mathematical and Theoretical 56,095301 (2023).
[arxiv]
[16] 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]
[17] W. Bruzda, S. Friedland, K. Życzkowski
Rank of a tensor and quantum entanglement
Linear and Multilinear Algebra , (2023).
[18] S. Cole, M. Eckstein, S. Friedland, K. Życzkowski
On Quantum Optimal Transport
Mathematical Physics Analysis and Geometry 26,14 (2023).
[arxiv]
[19] D. Wójcik, K. Życzkowski
Fractality of Certain Quantum States
Acta Physica Polonica A 143,S146-S157 (2023).
[arxiv]
[20] D. Bussandri, P. Lamberti, K. Zyczkowski
Transmission distance in the space of quantum channels
Physical Review A 108,012604 (2023).
[arxiv]
[21] K. Życzkowski
Quantum Version of Euler’s Problem: A Geometric Perspective
Trends in Mathematics Part F1183,105-133 (2023).
[arxiv]
[22] W. Tarnowski, D. Chruściński, S. Denisov, K. Życzkowski
Random Lindblad Operators Obeying Detailed Balance
Open Systems and Information Dynamics 30,2350007 (2023).
[arxiv]
[23] I. Chełstowski, G. Rajchel-Mieldzioć, K. Życzkowski
Operation fidelity explored by numerical range of Kraus operators
Physical Review A 108,022409 (2023).
[arxiv]
[24] D. Goyeneche, W. Bruzda, O. Turek, D. Alsina, K. Zyczkowski
Local hidden variable values without optimization procedures
Quantum 7,02911 (2023).
[arxiv]
[25] 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
[26] 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]
[27] 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]
[28] K. Korzekwa, Z. Puchala, M. Tomamichel, K. Zyczkowski
Encoding classical information into quantum resources
IEEE Transactions on Information Theory , (2022).
[arxiv]
[29] 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]
[30] T. Apollaro, S. Lorenzo, F. Plastina, M. Consiglio, K. Życzkowski
Quantum transfer of interacting qubits
New Journal of Physics 24,083025 (2022).
[arxiv]
[31] 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]
[32] P. Horodecki, Ł. Rudnicki, K. Zyczkowski
Five Open Problems in Quantum Information Theory
PRX Quantum 3,010101 (2022).
[arxiv]
[33] 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]
[34] A. Junior, J. Czartowski, K. Zyczkowski, K. Korzekwa
Geometric structure of thermal cones
Physical Review E 106,064109 (2022).
[arxiv]


2021
[35] A. Burchardt, J. Czartowski, K. Zyczkowski
Entanglement in highly symmetric multipartite quantum states
Physical Review A 104,022426 (2021).
[arxiv]
[36] T. Simnacher, J. Czartowski, K. Szymański, K. Życzkowski
Confident entanglement detection via the separable numerical range
Physical Review A 104,A9 (2021).
[arxiv]
[37] 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]
[38] Z. Puchała, K. Korzekwa, R. Salazar, P. Horodecki, K. Zyczkowski
Dephasing superchannels
Physical Review A 104,A24 (2021).
[arxiv]
[39] K. Szymański, K. Zyczkowski
Universal witnesses of vanishing energy gap
EPL 136,30003 (2021).
[arxiv]
[40] K. Zyczkowski
Three Favourite Dimensions of Andrzej: Along His Path to a Scientific Discovery
Open Systems and Information Dynamics 28,2150017 (2021).
[arxiv]
[41] 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]
[42] G. Chiribella, E. Aurell, K. Zyczkowski
Symmetries of quantum evolutions
Physical Review Research 3,033028 (2021).
[arxiv]
[43] 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]
[44] 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]
[45] J. Czartowski, R. Müller, K. Zyczkowski, D. Braun
Perfect quantum-state synchronization
Physical Review A 104,012410 (2021).
[arxiv]
[46] 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]
[47] R. Kukulski, I. Nechita, Ł. Pawela, Z. Puchała, K. Zyczkowski
Generating random quantum channels
Journal of Mathematical Physics 62,062201 (2021).
[arxiv]
[48] 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).
[49] R. Salazar, T. Biswas, J. Czartowski, K. Życzkowski, P. Horodecki
Optimal allocation of quantum resources
Quantum 5, (2021).
[arxiv]
[50] J. Czartowski, K. Życzkowski
Bipartite quantum measurements with optimal single-sided distinguishability
Quantum 5, (2021).
[arxiv]


2020
[51] 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]
[52] K. Szymański, K. Życzkowski
Geometric and algebraic origins of additive uncertainty relations
Journal of Physics A: Mathematical and Theoretical 53,015302 (2020).
[arxiv]
[53] 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]
[54] 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
[55] S. Denisov, T. Laptyeva, W. Tarnowski, D. Chruściński, K. Życzkowski
Universal Spectra of Random Lindblad Operators
Phys. Rev. Lett. 123,140403 (2019).
[arxiv]
[56] 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]
[57] J. Czartowski, K. Szymański, B. Gardas, Y. Fyodorov, K. Życzkowski
Separability gap and large-deviation entanglement criterion
Phys. Rev. A 100,042326 (2019).
[arxiv]
[58] 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]
[59] 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]
[60] 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]
[61] 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
[62] A. Mandarino, T. Linowski, K. Życzkowski
Bipartite unitary gates and billiard dynamics in the Weyl chamber
Phys. Rev. A 98,012335 (2018).
[arxiv]
[63] D. Goyeneche, Z. Raissi, S. Di Martino, K. Życzkowski
Entanglement and quantum combinatorial designs
Phys. Rev. A 97,062326 (2018).
[arxiv]
[64] M. Białończyk, A. Jamiołkowski, K. Życzkowski
Application of Shemesh theorem to quantum channels
Journal of Mathematical Physics 59,102204 (2018).
[arxiv]
[65] L. Seveso, D. Goyeneche, K. Życzkowski
Coarse-grained entanglement classification through orthogonal arrays
Journal of Mathematical Physics 59,072203 (2018).
[arxiv]
[66] I. Nechita, Z. Puchała, &. Pawela, K. Życzkowski
Almost all quantum channels are equidistant
Journal of Mathematical Physics 59,052201 (2018).
[arxiv]
[67] K. Korzekwa, S. Czachórski, Z. Puchała, K. Życzkowski
Coherifying quantum channels
New Journal of Physics 20,043028 (2018).
[arxiv]
[68] 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]
[69] 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]
[70] M. Enríquez, F. Delgado, K. Zyczkowski
Entanglement of three-qubit random pure states
Entropy 20,745 (2018).
[arxiv]


2017
[71] W. Bruzda, D. Goyeneche, K. Życzkowski
Quantum measurements with prescribed symmetry
Phys. Rev. A 96,022105 (2017).
[arxiv]
[72] B. Jonnadula, P. Mandayam, K. Życzkowski, A. Lakshminarayan
Impact of local dynamics on entangling power
Phys. Rev. A 95,040302 (2017).
[73] 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]
[74] 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).
[75] 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]
[76] 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
[77] 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]
[78] D. Goyeneche, J. Bielawski, K. \.fZyczkowski
Multipartite entanglement in heterogeneous systems
Phys. Rev. A 94,012346 (2016).
[arxiv]
[79] R. Adamczak, R. Latała, Z. Puchała, K. Życzkowski
Asymptotic entropic uncertainty relations
Journal of Mathematical Physics 57,032204 (2016).
[80] Z. Puchała, &. Pawela, K. Życzkowski
Distinguishability of generic quantum states
Phys. Rev. A 93,062112 (2016).
[arxiv]
[81] M. Smaczyński, W. Roga, K. Zyczkowski
Selfcomplementary Quantum Channels
Open Systems and Information Dynamics 23,1650014 (2016).
[82] M. Enríquez, I. Wintrowicz, K. Zyczkowski
Maximally Entangled Multipartite States: A Brief Survey
Journal of Physics: Conference Series 698,012003 (2016).


2015
[83] 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]
[84] 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]
[85] M. Enriquez, Z. Puchała, K. Życzkowski
Minimal Renyi-Ingarden-Urbanik entropy of multipartite quantum states
ArXiv e-prints, 1506.04788 (2015).
[arxiv]
[86] 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]
[87] Z. Puchała, &. Rudnicki, K. Chabuda, M. Paraniak, K. Życzkowski
Certainty relations, mutual entanglement, and nondisplaceable manifolds
Phys. Rev. A 92,032109 (2015).
[arxiv]
[88] 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
[89] A. Rastegin, K. Życzkowski
Jarzynski equality for quantum stochastic maps
Phys. Rev. E 89,012127 (2014).
[arxiv]
[90] &. Rudnicki, Z. Puchała, K. Życzkowski
Strong majorization entropic uncertainty relations
Phys. Rev. A 89,052115 (2014).
[arxiv]
[91] D. Goyeneche, K. Życzkowski
Genuinely multipartite entangled states and orthogonal arrays
Phys. Rev. A 90,022316 (2014).
[arxiv]
[92] A. Lakshminarayan, Z. Puchała, K. Życzkowski
Diagonal unitary entangling gates and contradiagonal quantum states
Phys. Rev. A 90,032303 (2014).
[arxiv]
[93] R. Adamczak, R. Latała, Z. Puchała, K. Życzkowski
Asymptotic entropic uncertainty relations
ArXiv e-prints, 1412.7065 (2014).
[arxiv]
[94] &. Rudnicki, Z. Puchała, P. Horodecki, K. Życzkowski
Constructive entanglement test from triangle inequality
J. Phys. A: Math. Theor. 47,424035 (2014).
[arxiv]
[95] R. E., K. Życzkowski
Jarzynski equality for quantum stochastic maps
Phys. Rev. E 89,012127 (2014).


2013
[96] S. Braunstein, S. Pirandola, K. Życzkowski
Better Late than Never: Information Retrieval from Black Holes
Phys. Rev. Lett. 110,101301 (2013).
[arxiv]
[97] 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]
[98] M. Musz, M. Kuś, K. Życzkowski
Unitary quantum gates, perfect entanglers, and unistochastic maps
Phys. Rev. A 87,022111 (2013).
[99] W. Roga, Z. Puchała, &. Rudnicki, K. Życzkowski
Entropic trade-off relations for quantum operations
Phys. Rev. A 87,032308 (2013).
[arxiv]
[100] P. Kondratiuk, K. Życzkowski
Random unitary matrices associated to a graph
Acta Phys. Pol. A 124,1098 (2013).
[arxiv]
[101] 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).
[102] M. Demianowicz, P. Horodecki, K. Życzkowski
Multiaccess quantum communication and product higher rank numerical range
Quant. Inf. Comp. 13,0541-0566 (2013).
[arxiv]
[103] W. Mlotkowski, K. Penson, K. Życzkowski
Densities of the Raney Distributions
Documenta Mathematica 18,1573 (2013).
[arxiv]
[104] 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]
[105] K. Zyczkowski, W. Słomczyński
Square root voting system, optimal threshold and π
Power, Voting, and Voting Power: 30 Years After ,573-592 (2013).
[arxiv]
[106] 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]
[107] 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).
[108] 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).
[109] 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
[110] W. Ganczarek, M. Kuś, K. Życzkowski
Barycentric measure of quantum entanglement
Phys. Rev. A 85,032314 (2012).
[arxiv]
[111] &. Rudnicki, Z. Puchała, P. Horodecki, K. Życzkowski
Collectibility for mixed quantum states
Phys. Rev. A 86,062329 (2012).
[arxiv]
[112] T. Banica, I. Nechita, K. Zyczkowski
Almost hadamard matrices: General theory and examples
Open Systems and Information Dynamics 19,1250024 (2012).
[arxiv]
[113] 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]
[114] 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
[115] K. Penson, K. Życzkowski
Product of Ginibre matrices: Fuss-Catalan and Raney distributions
Phys. Rev. E 83,061118 (2011).
[arxiv]
[116] &. Rudnicki, P. Horodecki, K. Życzkowski
Collective Uncertainty Entanglement Test
Phys. Rev. Lett. 107,150502 (2011).
[arxiv]
[117] K. Zyczkowski, K. Penson, I. Nechita, B. Collins
Generating random density matrices
Journal of Mathematical Physics 52,062201 (2011).
[arxiv]
[118] W. Roga, M. Smaczynski, K. Zyczkowski
Composition of quantum operations and products of random matrices
Acta Physica Polonica B 42,1123-1140 (2011).
[arxiv]
[119] W. Roga, K. Zyczkowski, M. Fannes
Entropic characterization of quantum operations
International Journal of Quantum Information 9,1031-1045 (2011).
[arxiv]


2010
[120] 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]
[121] B. Khoruzhenko, H. Sommers, K. Życzkowski
Truncations of random orthogonal matrices
Phys. Rev. E 82,040106 (2010).
[arxiv]
[122] 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]
[123] 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).
[124] 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).
[125] 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]
[126] K. Zyczkowski
Citation graph, weighted impact factors and performance indices
Scientometrics 85,301-315 (2010).
[arxiv]
[127] K. Majgier, H. Maassen, K. Życzkowski
Protected subspaces in quantum information
Quantum Information Processing 9,343-367 (2010).
[arxiv]


2009
[128] W. Bruzda, V. Cappellini, H. Sommers, K. Życzkowski
Random quantum operations
Physics Letters A 373,320--324 (2009).
[arxiv]
[129] 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]
[130] &. Skowronek, E. Størmer, K. Życzkowski
Cones of positive maps and their duality relations
Journal of Mathematical Physics 50,- (2009).
[arxiv]
[131] 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
[132] 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]
[133] H. Carteret, D. Terno, K. Życzkowski
Dynamics beyond completely positive maps: Some properties and applications
Phys. Rev. A 77,042113 (2008).
[134] D. Markham, J. Miszczak, Z. Puchała, K. Życzkowski
Quantum state discrimination: A geometric approach
Phys. Rev. A 77,042111 (2008).
[arxiv]
[135] 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]
[136] D. Kribs, A. Pasieka, K. Zyczkowski
Entropy of a quantum error correction code
Open Systems and Information Dynamics 15,329-343 (2008).
[arxiv]


2007
[137] 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]
[138] V. Cappellini, H. Sommers, K. Życzkowski
Subnormalized states and trace-nonincreasing maps
Journal of Mathematical Physics 48,- (2007).
[arxiv]


2006
[139] I. Bengtsson, K. Życzkowski
Geometry of quantum states: an introduction to quantum entanglement
, (2006).
[140] V. Cappellini, H. Sommers, K. Życzkowski
Distribution of $G$ concurrence of random pure states
Phys. Rev. A 74,062322 (2006).
[arxiv]
[141] W. Tadej, K. Życzkowski
A concise guide to complex Hadamard matrices
Open Systems \& Information Dynamics 13,133--177 (2006).
[arxiv]
[142] W. SŁomczyński, K. Zyczkowski
Penrose voting system and optimal quota
Acta Physica Polonica B 37,3133-3143 (2006).
[arxiv]
[143] K. Zyczkowski, W. Słomczyński, T. Zastawniak
Physics for fairer voting
Physics World 19,35-37 (2006).


2005
[144] K. Życzkowski, H. Sommers
Average fidelity between random quantum states
Phys. Rev. A 71,032313 (2005).
[arxiv]
[145] 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
[146] 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]
[147] H. Sommers, K. Zyczkowski
Statistical properties of random density matrices
Journal of Physics A: Mathematical and General 37,8457-8466 (2004).
[arxiv]
[148] 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]
[149] 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]
[150] F. Mintert, K. Życzkowski
Wehrl entropy, Lieb conjecture, and entanglement monotones
Physical Review A - Atomic, Molecular, and Optical Physics 69,11 (2004).
[arxiv]
[151] K. Życzkowski, I. Bengtsson
On duality between quantum maps and quantum states
Open Systems and Information Dynamics 11,3-42 (2004).
[arxiv]


2003
[152] 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]
[153] 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]
[154] 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]
[155] A. Łoziński, A. Buchleitner, K. Zyczkowski, T. Wellens
Entanglement of 2 × K quantum systems
Europhysics Letters 62,168-174 (2003).
[arxiv]
[156] K. Zyczkowski, M. Kuś, W. Słomczyński, H. Sommers
Random unistochastic matrices
Journal of Physics A: Mathematical and General 36,3425-3450 (2003).
[arxiv]
[157] K. Życzkowski
Rényi extrapolation of Shannon entropy
Open Systems and Information Dynamics 10,297-310 (2003).
[arxiv]
[158] P. Pakoński, G. Tanner, K. Życzkowski
Families of Line-Graphs and Their Quantization
Journal of Statistical Physics 111,1331-1352 (2003).
[arxiv]


2002
[159] I. Bengtsson, J. Brännlund, K. Zyczkowski
CPn, or, entanglement illustrated
International Journal of Modern Physics A 17,4675-4695 (2002).
[arxiv]
[160] 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]
[161] M. Sinołecka, K. Zyczkowski, M. Kuś
Manifolds of equal entanglement for composite quantum systems
Acta Physica Polonica B 33,2081-2095 (2002).
[162] K. Zyczkowski, I. Bengtsson
Relativity of pure states entanglement
Annals of Physics 295,115-135 (2002).
[arxiv]
[163] V. Kendon, K. Życzkowski, W. Munro
Bounds on entanglement in qudit subsystems
Physical Review A - Atomic, Molecular, and Optical Physics 66,7 (2002).
[arxiv]
[164] 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
[165] M. Kuś, K. Zyczkowski
Geometry of entangled states
Physical Review A - Atomic, Molecular, and Optical Physics 63,032307, 1-13 (2001).
[arxiv]
[166] 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]
[167] 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]
[168] 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]
[169] 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]
[170] 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).
[171] 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]
[172] K. Zyczkowski
Localization of eigenstates and mean Wehrl entropy
Physica E: Low-Dimensional Systems and Nanostructures 9,583-590 (2001).
[arxiv]


2000
[173] 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]
[174] K. Zyczkowski, Y. Lai
Devil-staircase behavior of dynamical invariants in chaotic scattering
Physica D: Nonlinear Phenomena 142,197-216 (2000).
[175] P. Ashwin, X. Fu, T. Nishikawa, K. Zyczkowski
Invariant sets for discontinuous parabolic area-preserving torus maps
Nonlinearity 13,819-835 (2000).
[arxiv]
[176] K. Zyczkowski, H. Sommers
Truncations of random unitary matrices
Journal of Physics A: Mathematical and General 33,2045-2057 (2000).
[arxiv]
[177] D. Wójcik, I. Białynicki-Birula, K. Życzkowski
Time evolution of quantum fractals
Physical Review Letters 85,5022-5025 (2000).
[arxiv]
[178] 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]
[179] W. Słomczyński, J. Kwapień, K. Zyczkowski
Entropy computing via integration over fractal measures
Chaos 10,180-188 (2000).
[arxiv]
[180] 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
[181] P. Šeba, K. Zyczkowski, J. Zakrzewski
On the 'nonuniversal' conductance of an almost ideal quantum wire
Acta Physica Polonica B 30,2797-2810 (1999).
[182] 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]
[183] P. Pakoński, A. Ostruszka, K. Zyczkowski
Quantum baker map on the sphere
Nonlinearity 12,269-284 (1999).
[arxiv]
[184] K. Życzkowski
Volume of the set of separable states. II
Physical Review A - Atomic, Molecular, and Optical Physics 60,3496-3507 (1999).
[185] 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).
[186] 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
[187] 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]
[188] K. Zyczkowski, W. Słomczyński
The Monge distance between quantum states
Journal of Physics A: Mathematical and General 31,9095-9104 (1998).
[arxiv]
[189] 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).
[190] M. Poźniak, K. Zyczkowski, M. Kuś
Composed ensembles of random unitary matrices
Journal of Physics A: Mathematical and General 31,1059-1071 (1998).
[arxiv]
[191] E. Aurell, K. Zyczkowski
Risk-return arguments applied to options with trading costs
Journal De Physique. IV : JP 8, (1998).
[arxiv]
[192] 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
[193] J. Kwapień, W. Słomczyński, K. Zyczkowski
Coherent states measurement entropy
Journal of Physics A: Mathematical and General 30,3175-3200 (1997).
[arxiv]
[194] D. Braun, M. Kuś, K. Zyczkowski
Time-reversal symmetry and random polynomials
Journal of Physics A: Mathematical and General 30, (1997).
[arxiv]
[195] K. Życzkowski
Scattering matrices with block symmetries
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 56,2257-2260 (1997).
[arxiv]


1996
[196] 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]
[197] 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]
[198] 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
[199] 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]
[200] K. Życzkowski, R. Serwicki
Scaling laws of complex band random matrices
Zeitschrift für Physik B Condensed Matter 99,449-455 (1995).
[201] 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).
[202] 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).
[203] 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
[204] K. Zyczkowski, M. Kus
Random unitary matrices
Journal of Physics A: General Physics 27,028, 4235-4245 (1994).
[205] W. Słomczyński, K. Zyczkowski
Quantum chaos: An entropy approach
Journal of Mathematical Physics 35,5674-5700 (1994).
[206] 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).
[207] 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
[208] K. Zyczkowski, H. Wiedemann, W. Słomczyński
How to generalize the Lapunov exponent for quantum mechanics
Vistas in Astronomy 37,153-156 (1993).


1992
[209] 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).
[210] F. Haake, H. Wiedemann, K. Życzkowski
Lyapunov exponents from quantum dynamics
Annalen der Physik 504,531-539 (1992).
[211] K. Zyczkowski, M. Lewenstein, M. Ku, F. Izrailev
Eigenvector statistics of random band matrices
Physical Review A 45,811-815 (1992).
[212] 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
[213] M. Kua, J. Zakrzewski, K. Zyczkowski
Quantum scars on a sphere
Physical Review A 43,4244-4248 (1991).
[214] B. Dietz, K. Zyczkowski
Level-spacing distributions beyond the Wigner surmise
Zeitschrift für Physik B Condensed Matter 84,157-158 (1991).
[215] P. Aeba, K. Zyczkowski
Wave chaos in quantized classically nonchaotic systems
Physical Review A 44,3457-3465 (1991).
[216] M. Kuś, K. Zyczkowski
Relative randomness of quantum observables
Physical Review A 44,956-959 (1991).
[217] G. Lenz, K. Zyczkowski, D. Saher
Scaling laws of the additive random-matrix model
Physical Review A 44,8043-8050 (1991).
[218] 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).
[219] 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
[220] K. Zyczkowski
Indicators of quantum chaos based on eigenvector statistics
Journal of Physics A: Mathematical and General 23,005, 4427-4438 (1990).
[221] F. Haake, K. Zyczkowski
Random-matrix theory and eigenmodes of dynamical systems
Physical Review A 42,1013-1016 (1990).


1989
[222] K. Zyczkowski
Squeezed states in a quantum chaotic system
Journal of Physics A: General Physics 22,003 (1989).
[223] K. Zyczkowski
Reply to Comment on Quantum chaotic system in the generalized Husimi representation
Physical Review A 39,2751 (1989).


1988
[224] 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
[225] J. Zakrzewski, K. Zyczkowski
Simple model for strong-laser-field ionization
Physical Review A 36,4311-4320 (1987).
[226] J. Mostowski, K. Zyczkowski
Phase space approach to above threshold ionization
Zeitschrift für Physik D Atoms, Molecules and Clusters 5,293-298 (1987).
[227] K. Zyczkowski
Quantum chaotic system in the generalized Husimi representation
Physical Review A 35,3546-3549 (1987).