Next seminars

11 XIIBogdan Damski (Uniwersytet Jagielloński, Kraków, Poland)
Massive photons and periodic “charge” oscillations
Location: B-1-46 and MS Teams [ZOA-test], 12:15
Department Seminar
Online: [link]
11 XIIRyszard Kukulski (IITiS PAN, Gliwice)
Probabilistic exact unitary inversion
Location: F-1-04 and ZOOM
Online: [link], pass: on request!

Chaos and Quantum Info Seminar
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Conferences

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



2023
[1] 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).
[2] D. Bussandri, G. Rajchel-Mieldzioć, P. Lamberti, K. Życzkowski
Rényi-Holevo inequality from $α$-$z$-Rényi relative entropies
ArXiv e-prints, 2309.04539 (2023).
[3] A. Rico, K. Życzkowski
Discrete dynamics in the set of quantum measurements
ArXiv e-prints, 2308.05835 (2023).
[4] F. Santo, J. Czartowski, K. Życzkowski, N. Gisin
Iso-entangled bases and joint measurements
ArXiv e-prints, 2307.06998 (2023).
[5] W. Bruzda, G. Rajchel-Mieldzioć, K. Życzkowski
Multi-Unitary Complex Hadamard Matrices
ArXiv e-prints, 2306.00999 (2023).
[6] M. Rudziński, A. Burchardt, K. Życzkowski
Orthonormal bases of extreme spin coherence
ArXiv e-prints, 2306.00532 (2023).
[7] J. Czartowski, K. Życzkowski, D. Braun
Simultaneous minimal-noise estimation of noncommuting rotations of a spin
ArXiv e-prints, 2303.08591 (2023).
[8] Ł. Pawela, K. Życzkowski
Matrix logistic map: fractal spectral distributions and transfer of chaos
ArXiv e-prints, 2303.06176 (2023).
[9] T. Apollaro, S. Lorenzo, F. Plastina, M. Consiglio, K. Życzkowski
Entangled States Are Harder to Transfer than Product States
Entropy 25,46 (2023).
[arxiv]
[10] R. Bistroń, M. Eckstein, K. Życzkowski
Monotonicity of a quantum 2-Wasserstein distance
Journal of Physics A: Mathematical and Theoretical 56,095301 (2023).
[arxiv]
[11] 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]
[12] W. Bruzda, S. Friedland, K. Życzkowski
Rank of a tensor and quantum entanglement
Linear and Multilinear Algebra , (2023).
[13] S. Cole, M. Eckstein, S. Friedland, K. Życzkowski
On Quantum Optimal Transport
Mathematical Physics Analysis and Geometry 26,14 (2023).
[arxiv]
[14] D. Wójcik, K. Życzkowski
Fractality of Certain Quantum States
Acta Physica Polonica A 143,S146-S157 (2023).
[arxiv]
[15] D. Bussandri, P. Lamberti, K. Zyczkowski
Transmission distance in the space of quantum channels
Physical Review A 108,012604 (2023).
[arxiv]
[16] K. Życzkowski
Quantum Version of Euler’s Problem: A Geometric Perspective
Trends in Mathematics Part F1183,105-133 (2023).
[arxiv]
[17] W. Tarnowski, D. Chruściński, S. Denisov, K. Życzkowski
Random Lindblad Operators Obeying Detailed Balance
Open Systems and Information Dynamics 30,2350007 (2023).
[arxiv]
[18] I. Chełstowski, G. Rajchel-Mieldzioć, K. Życzkowski
Operation fidelity explored by numerical range of Kraus operators
Physical Review A 108,022409 (2023).
[arxiv]
[19] D. Goyeneche, W. Bruzda, O. Turek, D. Alsina, K. Zyczkowski
Local hidden variable values without optimization procedures
Quantum 7,02911 (2023).
[arxiv]
[20] 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
[21] 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]
[22] 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]
[23] K. Korzekwa, Z. Puchala, M. Tomamichel, K. Zyczkowski
Encoding classical information into quantum resources
IEEE Transactions on Information Theory , (2022).
[arxiv]
[24] 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]
[25] T. Apollaro, S. Lorenzo, F. Plastina, M. Consiglio, K. Życzkowski
Quantum transfer of interacting qubits
New Journal of Physics 24,083025 (2022).
[arxiv]
[26] 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]
[27] P. Horodecki, Ł. Rudnicki, K. Zyczkowski
Five Open Problems in Quantum Information Theory
PRX Quantum 3,010101 (2022).
[arxiv]
[28] 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]
[29] A. Junior, J. Czartowski, K. Zyczkowski, K. Korzekwa
Geometric structure of thermal cones
Physical Review E 106,064109 (2022).
[arxiv]


2021
[30] A. Burchardt, J. Czartowski, K. Zyczkowski
Entanglement in highly symmetric multipartite quantum states
Physical Review A 104,022426 (2021).
[arxiv]
[31] T. Simnacher, J. Czartowski, K. Szymański, K. Życzkowski
Confident entanglement detection via the separable numerical range
Physical Review A 104,A9 (2021).
[arxiv]
[32] 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]
[33] Z. Puchała, K. Korzekwa, R. Salazar, P. Horodecki, K. Zyczkowski
Dephasing superchannels
Physical Review A 104,A24 (2021).
[arxiv]
[34] K. Szymański, K. Zyczkowski
Universal witnesses of vanishing energy gap
EPL 136,30003 (2021).
[arxiv]
[35] K. Zyczkowski
Three Favourite Dimensions of Andrzej: Along His Path to a Scientific Discovery
Open Systems and Information Dynamics 28,2150017 (2021).
[arxiv]
[36] 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]
[37] G. Chiribella, E. Aurell, K. Zyczkowski
Symmetries of quantum evolutions
Physical Review Research 3,033028 (2021).
[arxiv]
[38] 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]
[39] 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]
[40] J. Czartowski, R. Müller, K. Zyczkowski, D. Braun
Perfect quantum-state synchronization
Physical Review A 104,012410 (2021).
[arxiv]
[41] 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]
[42] R. Kukulski, I. Nechita, Ł. Pawela, Z. Puchała, K. Zyczkowski
Generating random quantum channels
Journal of Mathematical Physics 62,062201 (2021).
[arxiv]
[43] 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).
[44] R. Salazar, T. Biswas, J. Czartowski, K. Życzkowski, P. Horodecki
Optimal allocation of quantum resources
Quantum 5, (2021).
[arxiv]
[45] J. Czartowski, K. Życzkowski
Bipartite quantum measurements with optimal single-sided distinguishability
Quantum 5, (2021).
[arxiv]


2020
[46] 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]
[47] K. Szymański, K. Życzkowski
Geometric and algebraic origins of additive uncertainty relations
Journal of Physics A: Mathematical and Theoretical 53,015302 (2020).
[arxiv]
[48] 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]
[49] 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
[50] S. Denisov, T. Laptyeva, W. Tarnowski, D. Chruściński, K. Życzkowski
Universal Spectra of Random Lindblad Operators
Phys. Rev. Lett. 123,140403 (2019).
[arxiv]
[51] 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]
[52] J. Czartowski, K. Szymański, B. Gardas, Y. Fyodorov, K. Życzkowski
Separability gap and large-deviation entanglement criterion
Phys. Rev. A 100,042326 (2019).
[arxiv]
[53] 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]
[54] 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]
[55] 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]
[56] 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
[57] A. Mandarino, T. Linowski, K. Życzkowski
Bipartite unitary gates and billiard dynamics in the Weyl chamber
Phys. Rev. A 98,012335 (2018).
[arxiv]
[58] D. Goyeneche, Z. Raissi, S. Di Martino, K. Życzkowski
Entanglement and quantum combinatorial designs
Phys. Rev. A 97,062326 (2018).
[arxiv]
[59] M. Białończyk, A. Jamiołkowski, K. Życzkowski
Application of Shemesh theorem to quantum channels
Journal of Mathematical Physics 59,102204 (2018).
[arxiv]
[60] L. Seveso, D. Goyeneche, K. Życzkowski
Coarse-grained entanglement classification through orthogonal arrays
Journal of Mathematical Physics 59,072203 (2018).
[arxiv]
[61] I. Nechita, Z. Puchała, &. Pawela, K. Życzkowski
Almost all quantum channels are equidistant
Journal of Mathematical Physics 59,052201 (2018).
[arxiv]
[62] K. Korzekwa, S. Czachórski, Z. Puchała, K. Życzkowski
Coherifying quantum channels
New Journal of Physics 20,043028 (2018).
[arxiv]
[63] 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]
[64] 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]
[65] M. Enríquez, F. Delgado, K. Zyczkowski
Entanglement of three-qubit random pure states
Entropy 20,745 (2018).
[arxiv]


2017
[66] W. Bruzda, D. Goyeneche, K. Życzkowski
Quantum measurements with prescribed symmetry
Phys. Rev. A 96,022105 (2017).
[arxiv]
[67] B. Jonnadula, P. Mandayam, K. Życzkowski, A. Lakshminarayan
Impact of local dynamics on entangling power
Phys. Rev. A 95,040302 (2017).
[68] 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]
[69] 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).
[70] 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]
[71] 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
[72] 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]
[73] D. Goyeneche, J. Bielawski, K. \.fZyczkowski
Multipartite entanglement in heterogeneous systems
Phys. Rev. A 94,012346 (2016).
[arxiv]
[74] R. Adamczak, R. Latała, Z. Puchała, K. Życzkowski
Asymptotic entropic uncertainty relations
Journal of Mathematical Physics 57,032204 (2016).
[75] Z. Puchała, &. Pawela, K. Życzkowski
Distinguishability of generic quantum states
Phys. Rev. A 93,062112 (2016).
[arxiv]
[76] M. Smaczyński, W. Roga, K. Zyczkowski
Selfcomplementary Quantum Channels
Open Systems and Information Dynamics 23,1650014 (2016).
[77] M. Enríquez, I. Wintrowicz, K. Zyczkowski
Maximally Entangled Multipartite States: A Brief Survey
Journal of Physics: Conference Series 698,012003 (2016).


2015
[78] 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]
[79] 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]
[80] M. Enriquez, Z. Puchała, K. Życzkowski
Minimal Renyi-Ingarden-Urbanik entropy of multipartite quantum states
ArXiv e-prints, 1506.04788 (2015).
[arxiv]
[81] 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]
[82] Z. Puchała, &. Rudnicki, K. Chabuda, M. Paraniak, K. Życzkowski
Certainty relations, mutual entanglement, and nondisplaceable manifolds
Phys. Rev. A 92,032109 (2015).
[arxiv]
[83] 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
[84] A. Rastegin, K. Życzkowski
Jarzynski equality for quantum stochastic maps
Phys. Rev. E 89,012127 (2014).
[arxiv]
[85] &. Rudnicki, Z. Puchała, K. Życzkowski
Strong majorization entropic uncertainty relations
Phys. Rev. A 89,052115 (2014).
[arxiv]
[86] D. Goyeneche, K. Życzkowski
Genuinely multipartite entangled states and orthogonal arrays
Phys. Rev. A 90,022316 (2014).
[arxiv]
[87] A. Lakshminarayan, Z. Puchała, K. Życzkowski
Diagonal unitary entangling gates and contradiagonal quantum states
Phys. Rev. A 90,032303 (2014).
[arxiv]
[88] R. Adamczak, R. Latała, Z. Puchała, K. Życzkowski
Asymptotic entropic uncertainty relations
ArXiv e-prints, 1412.7065 (2014).
[arxiv]
[89] &. Rudnicki, Z. Puchała, P. Horodecki, K. Życzkowski
Constructive entanglement test from triangle inequality
J. Phys. A: Math. Theor. 47,424035 (2014).
[arxiv]
[90] R. E., K. Życzkowski
Jarzynski equality for quantum stochastic maps
Phys. Rev. E 89,012127 (2014).


2013
[91] S. Braunstein, S. Pirandola, K. Życzkowski
Better Late than Never: Information Retrieval from Black Holes
Phys. Rev. Lett. 110,101301 (2013).
[arxiv]
[92] 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]
[93] M. Musz, M. Kuś, K. Życzkowski
Unitary quantum gates, perfect entanglers, and unistochastic maps
Phys. Rev. A 87,022111 (2013).
[94] W. Roga, Z. Puchała, &. Rudnicki, K. Życzkowski
Entropic trade-off relations for quantum operations
Phys. Rev. A 87,032308 (2013).
[arxiv]
[95] P. Kondratiuk, K. Życzkowski
Random unitary matrices associated to a graph
Acta Phys. Pol. A 124,1098 (2013).
[arxiv]
[96] 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).
[97] M. Demianowicz, P. Horodecki, K. Życzkowski
Multiaccess quantum communication and product higher rank numerical range
Quant. Inf. Comp. 13,0541-0566 (2013).
[arxiv]
[98] W. Mlotkowski, K. Penson, K. Życzkowski
Densities of the Raney Distributions
Documenta Mathematica 18,1573 (2013).
[arxiv]
[99] 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]
[100] K. Zyczkowski, W. Słomczyński
Square root voting system, optimal threshold and π
Power, Voting, and Voting Power: 30 Years After ,573-592 (2013).
[arxiv]
[101] 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]
[102] 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).
[103] 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).
[104] 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
[105] W. Ganczarek, M. Kuś, K. Życzkowski
Barycentric measure of quantum entanglement
Phys. Rev. A 85,032314 (2012).
[arxiv]
[106] &. Rudnicki, Z. Puchała, P. Horodecki, K. Życzkowski
Collectibility for mixed quantum states
Phys. Rev. A 86,062329 (2012).
[arxiv]
[107] T. Banica, I. Nechita, K. Zyczkowski
Almost hadamard matrices: General theory and examples
Open Systems and Information Dynamics 19,1250024 (2012).
[arxiv]
[108] 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]
[109] 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
[110] K. Penson, K. Życzkowski
Product of Ginibre matrices: Fuss-Catalan and Raney distributions
Phys. Rev. E 83,061118 (2011).
[arxiv]
[111] &. Rudnicki, P. Horodecki, K. Życzkowski
Collective Uncertainty Entanglement Test
Phys. Rev. Lett. 107,150502 (2011).
[arxiv]
[112] K. Zyczkowski, K. Penson, I. Nechita, B. Collins
Generating random density matrices
Journal of Mathematical Physics 52,062201 (2011).
[arxiv]
[113] W. Roga, M. Smaczynski, K. Zyczkowski
Composition of quantum operations and products of random matrices
Acta Physica Polonica B 42,1123-1140 (2011).
[arxiv]
[114] W. Roga, K. Zyczkowski, M. Fannes
Entropic characterization of quantum operations
International Journal of Quantum Information 9,1031-1045 (2011).
[arxiv]


2010
[115] 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]
[116] B. Khoruzhenko, H. Sommers, K. Życzkowski
Truncations of random orthogonal matrices
Phys. Rev. E 82,040106 (2010).
[arxiv]
[117] 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]
[118] 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).
[119] 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).
[120] 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]
[121] K. Zyczkowski
Citation graph, weighted impact factors and performance indices
Scientometrics 85,301-315 (2010).
[arxiv]
[122] K. Majgier, H. Maassen, K. Życzkowski
Protected subspaces in quantum information
Quantum Information Processing 9,343-367 (2010).
[arxiv]


2009
[123] W. Bruzda, V. Cappellini, H. Sommers, K. Życzkowski
Random quantum operations
Physics Letters A 373,320--324 (2009).
[arxiv]
[124] 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]
[125] &. Skowronek, E. Størmer, K. Życzkowski
Cones of positive maps and their duality relations
Journal of Mathematical Physics 50,- (2009).
[arxiv]
[126] 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
[127] 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]
[128] H. Carteret, D. Terno, K. Życzkowski
Dynamics beyond completely positive maps: Some properties and applications
Phys. Rev. A 77,042113 (2008).
[129] D. Markham, J. Miszczak, Z. Puchała, K. Życzkowski
Quantum state discrimination: A geometric approach
Phys. Rev. A 77,042111 (2008).
[arxiv]
[130] 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]
[131] D. Kribs, A. Pasieka, K. Zyczkowski
Entropy of a quantum error correction code
Open Systems and Information Dynamics 15,329-343 (2008).
[arxiv]


2007
[132] 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]
[133] V. Cappellini, H. Sommers, K. Życzkowski
Subnormalized states and trace-nonincreasing maps
Journal of Mathematical Physics 48,- (2007).
[arxiv]


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


2005
[139] K. Życzkowski, H. Sommers
Average fidelity between random quantum states
Phys. Rev. A 71,032313 (2005).
[arxiv]
[140] 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
[141] 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]
[142] H. Sommers, K. Zyczkowski
Statistical properties of random density matrices
Journal of Physics A: Mathematical and General 37,8457-8466 (2004).
[arxiv]
[143] 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]
[144] 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]
[145] F. Mintert, K. Życzkowski
Wehrl entropy, Lieb conjecture, and entanglement monotones
Physical Review A - Atomic, Molecular, and Optical Physics 69,11 (2004).
[arxiv]
[146] K. Życzkowski, I. Bengtsson
On duality between quantum maps and quantum states
Open Systems and Information Dynamics 11,3-42 (2004).
[arxiv]


2003
[147] 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]
[148] 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]
[149] 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]
[150] A. Łoziński, A. Buchleitner, K. Zyczkowski, T. Wellens
Entanglement of 2 × K quantum systems
Europhysics Letters 62,168-174 (2003).
[arxiv]
[151] K. Zyczkowski, M. Kuś, W. Słomczyński, H. Sommers
Random unistochastic matrices
Journal of Physics A: Mathematical and General 36,3425-3450 (2003).
[arxiv]
[152] K. Życzkowski
Rényi extrapolation of Shannon entropy
Open Systems and Information Dynamics 10,297-310 (2003).
[arxiv]
[153] P. Pakoński, G. Tanner, K. Życzkowski
Families of Line-Graphs and Their Quantization
Journal of Statistical Physics 111,1331-1352 (2003).
[arxiv]


2002
[154] I. Bengtsson, J. Brännlund, K. Zyczkowski
CPn, or, entanglement illustrated
International Journal of Modern Physics A 17,4675-4695 (2002).
[arxiv]
[155] 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]
[156] M. Sinołecka, K. Zyczkowski, M. Kuś
Manifolds of equal entanglement for composite quantum systems
Acta Physica Polonica B 33,2081-2095 (2002).
[157] K. Zyczkowski, I. Bengtsson
Relativity of pure states entanglement
Annals of Physics 295,115-135 (2002).
[arxiv]
[158] V. Kendon, K. Życzkowski, W. Munro
Bounds on entanglement in qudit subsystems
Physical Review A - Atomic, Molecular, and Optical Physics 66,7 (2002).
[arxiv]
[159] 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
[160] M. Kuś, K. Zyczkowski
Geometry of entangled states
Physical Review A - Atomic, Molecular, and Optical Physics 63,032307, 1-13 (2001).
[arxiv]
[161] 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]
[162] 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]
[163] 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]
[164] 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]
[165] 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).
[166] 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]
[167] K. Zyczkowski
Localization of eigenstates and mean Wehrl entropy
Physica E: Low-Dimensional Systems and Nanostructures 9,583-590 (2001).
[arxiv]


2000
[168] 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]
[169] K. Zyczkowski, Y. Lai
Devil-staircase behavior of dynamical invariants in chaotic scattering
Physica D: Nonlinear Phenomena 142,197-216 (2000).
[170] P. Ashwin, X. Fu, T. Nishikawa, K. Zyczkowski
Invariant sets for discontinuous parabolic area-preserving torus maps
Nonlinearity 13,819-835 (2000).
[arxiv]
[171] K. Zyczkowski, H. Sommers
Truncations of random unitary matrices
Journal of Physics A: Mathematical and General 33,2045-2057 (2000).
[arxiv]
[172] D. Wójcik, I. Białynicki-Birula, K. Życzkowski
Time evolution of quantum fractals
Physical Review Letters 85,5022-5025 (2000).
[arxiv]
[173] 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]
[174] W. Słomczyński, J. Kwapień, K. Zyczkowski
Entropy computing via integration over fractal measures
Chaos 10,180-188 (2000).
[arxiv]
[175] 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
[176] P. Šeba, K. Zyczkowski, J. Zakrzewski
On the 'nonuniversal' conductance of an almost ideal quantum wire
Acta Physica Polonica B 30,2797-2810 (1999).
[177] 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]
[178] P. Pakoński, A. Ostruszka, K. Zyczkowski
Quantum baker map on the sphere
Nonlinearity 12,269-284 (1999).
[arxiv]
[179] K. Życzkowski
Volume of the set of separable states. II
Physical Review A - Atomic, Molecular, and Optical Physics 60,3496-3507 (1999).
[180] 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).
[181] 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
[182] 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]
[183] K. Zyczkowski, W. Słomczyński
The Monge distance between quantum states
Journal of Physics A: Mathematical and General 31,9095-9104 (1998).
[arxiv]
[184] 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).
[185] M. Poźniak, K. Zyczkowski, M. Kuś
Composed ensembles of random unitary matrices
Journal of Physics A: Mathematical and General 31,1059-1071 (1998).
[arxiv]
[186] E. Aurell, K. Zyczkowski
Risk-return arguments applied to options with trading costs
Journal De Physique. IV : JP 8, (1998).
[arxiv]
[187] 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
[188] J. Kwapień, W. Słomczyński, K. Zyczkowski
Coherent states measurement entropy
Journal of Physics A: Mathematical and General 30,3175-3200 (1997).
[arxiv]
[189] D. Braun, M. Kuś, K. Zyczkowski
Time-reversal symmetry and random polynomials
Journal of Physics A: Mathematical and General 30, (1997).
[arxiv]
[190] K. Życzkowski
Scattering matrices with block symmetries
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 56,2257-2260 (1997).
[arxiv]


1996
[191] 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]
[192] 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]
[193] 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
[194] 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]
[195] K. Życzkowski, R. Serwicki
Scaling laws of complex band random matrices
Zeitschrift für Physik B Condensed Matter 99,449-455 (1995).
[196] 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).
[197] 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).
[198] 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
[199] K. Zyczkowski, M. Kus
Random unitary matrices
Journal of Physics A: General Physics 27,028, 4235-4245 (1994).
[200] W. Słomczyński, K. Zyczkowski
Quantum chaos: An entropy approach
Journal of Mathematical Physics 35,5674-5700 (1994).
[201] 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).
[202] 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
[203] K. Zyczkowski, H. Wiedemann, W. Słomczyński
How to generalize the Lapunov exponent for quantum mechanics
Vistas in Astronomy 37,153-156 (1993).


1992
[204] 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).
[205] F. Haake, H. Wiedemann, K. Życzkowski
Lyapunov exponents from quantum dynamics
Annalen der Physik 504,531-539 (1992).
[206] K. Zyczkowski, M. Lewenstein, M. Ku, F. Izrailev
Eigenvector statistics of random band matrices
Physical Review A 45,811-815 (1992).
[207] 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
[208] M. Kua, J. Zakrzewski, K. Zyczkowski
Quantum scars on a sphere
Physical Review A 43,4244-4248 (1991).
[209] B. Dietz, K. Zyczkowski
Level-spacing distributions beyond the Wigner surmise
Zeitschrift für Physik B Condensed Matter 84,157-158 (1991).
[210] P. Aeba, K. Zyczkowski
Wave chaos in quantized classically nonchaotic systems
Physical Review A 44,3457-3465 (1991).
[211] M. Kuś, K. Zyczkowski
Relative randomness of quantum observables
Physical Review A 44,956-959 (1991).
[212] G. Lenz, K. Zyczkowski, D. Saher
Scaling laws of the additive random-matrix model
Physical Review A 44,8043-8050 (1991).
[213] 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).
[214] 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
[215] K. Zyczkowski
Indicators of quantum chaos based on eigenvector statistics
Journal of Physics A: Mathematical and General 23,005, 4427-4438 (1990).
[216] F. Haake, K. Zyczkowski
Random-matrix theory and eigenmodes of dynamical systems
Physical Review A 42,1013-1016 (1990).


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


1988
[219] 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
[220] J. Zakrzewski, K. Zyczkowski
Simple model for strong-laser-field ionization
Physical Review A 36,4311-4320 (1987).
[221] J. Mostowski, K. Zyczkowski
Phase space approach to above threshold ionization
Zeitschrift für Physik D Atoms, Molecules and Clusters 5,293-298 (1987).
[222] K. Zyczkowski
Quantum chaotic system in the generalized Husimi representation
Physical Review A 35,3546-3549 (1987).