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Research Interests
Quantum information
Quantum measurement & entropy
Quantum chaos
Entanglement & geometry of quantum states
Random matrices
Complex Hadamard matrices
Nonlinear dynamics & fractals
Stochastic vs chaotic dynamics
Game theory and Voting Power
Financial mathematics
Member of editorial boards
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Open Systems & Information Dynamics since November
2003
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Journal of Physica A since January 2004
Co-organiser of
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Polish Research Network LFPPI Laboratory of Physical
Foundation of Information Processing
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European Research Network Krzyżowa Initiative for
Quantum Information
Member of
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Mark Kac Complex Systems Research Centre
Publications:
http://chaos.if.uj.edu.pl/~karol/kzpub.htm
Selected Publications
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A. Lozinski, K.
Zyczkowski and W. Slomczynski, "Quantum Iterated Function
Systems", Phys. Rev. E68, 046110 (2003)
[quant-ph/0210029].
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A.Ostruszka, Ch.
Manderfeld, K. Zyczkowski,and F. Haake, "Quantization of
Classical Maps with tunable Ruelle-Pollicott Resonances",
Phys. Rev. E 68, 056201 (2003) [nlin.CD/0301041].
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P. Pakonski, G.
Tanner, K. Zyczkowski, "Families of line-graphs and their
quantization", J. Stat. Phys 111, 1331-1352
(2003) [nlin.CD/0110043].
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J. Emerson, R.
Alicki and K. Zyczkowski, "Scalable Noise Estimation with Random
Unitary Operators"; J.Opt. B 7, S347-S352
(2005); [quant-ph/0503243].
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R. Alicki, A.
Lozinski, P. Pakonski and K. Zyczkowski, "Quantum dynamical
entropy and decoherence rate"; J.Phys. A37,
5157-5172 (2004); [quant-ph/0309194].
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V. Cappellini,
H.--J. Sommers, and K. Zyczkowski, "Distribution of G-concurrence
of random pure states", Phys. Rev. A 74, 062322
(2006) [quant-ph/0605251].
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H.--J. Sommers and
K. Zyczkowski, "Statistical properties of random density
matrices", J. Phys. A37 8457-8466
(2004), [quant-ph/0405031].
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