Zobrazeno 1 - 10
of 417
pro vyhledávání: '"Zyczkowski, K."'
Publikováno v:
Phys. Rev. E 104, 034118 (2021)
Continuous-time Markovian evolution appears to be manifestly different in classical and quantum worlds. We consider ensembles of random generators of $N$-dimensional Markovian evolution, quantum and classical ones, and evaluate their universal spectr
Externí odkaz:
http://arxiv.org/abs/2105.02369
The following paper is part of the authors' response to an invitation from the Constitutional Affairs Committee (AFCO) of the European Parliament to advise on mathematical methods for the allocation of Parliamentary seats between the 27 Member States
Externí odkaz:
http://arxiv.org/abs/1710.03820
Publikováno v:
Phys. Rev. A 96, 022105 (2017)
We introduce a method to determine whether a given generalised quantum measurement is isolated or it belongs to a family of measurements having the same prescribed symmetry. The technique proposed reduces to solving a linear system of equations in so
Externí odkaz:
http://arxiv.org/abs/1704.04609
Publikováno v:
Phys. Rev. A 94, 012346 (2016)
Heterogeneous bipartite quantum pure states, composed of two subsystems with a different number of levels, cannot have both reductions maximally mixed. In this work, we demonstrate existence of a wide range of highly entangled states of heterogeneous
Externí odkaz:
http://arxiv.org/abs/1602.08064
Publikováno v:
J. Phys. A 45, 075203 (2012)
A generalisation of the Ginibre ensemble of non-Hermitian random square matrices is introduced. The corresponding probability measure is induced by the ensemble of rectangular Gaussian matrices via a quadratisation procedure. We derive the joint prob
Externí odkaz:
http://arxiv.org/abs/1107.5019
Publikováno v:
Quantum Information & Computation, Vol.9 No.1&2 (2009)
We derive several bounds on fidelity between quantum states. In particular we show that fidelity is bounded from above by a simple to compute quantity we call super--fidelity. It is analogous to another quantity called sub--fidelity. For any two stat
Externí odkaz:
http://arxiv.org/abs/0805.2037
Publikováno v:
Phys. Rev. A 77, 042111 (2008)
We analyse the problem of finding sets of quantum states that can be deterministically discriminated. From a geometric point of view this problem is equivalent to that of embedding a simplex of points whose distances are maximal with respect to the B
Externí odkaz:
http://arxiv.org/abs/0711.4286
Publikováno v:
J. Phys. A: Math. Theor. 42 (2009) 365209
Ensembles of random stochastic and bistochastic matrices are investigated. While all columns of a random stochastic matrix can be chosen independently, the rows and columns of a bistochastic matrix have to be correlated. We evaluate the probability m
Externí odkaz:
http://arxiv.org/abs/0711.3345
Publikováno v:
J. Phys. A36, 3425-3450 (2003)
An ensemble of random unistochastic (orthostochastic) matrices is defined by taking squared moduli of elements of random unitary (orthogonal) matrices distributed according to the Haar measure on U(N) (or O(N), respectively). An ensemble of symmetric
Externí odkaz:
http://arxiv.org/abs/nlin/0112036
Publikováno v:
Int.J.Mod.Phys. A17 (2002) 4675-4696
We show that many topological and geometrical properties of complex projective space can be understood just by looking at a suitably constructed picture. The idea is to view CP^n as a set of flat tori parametrized by the positive octant of a round sp
Externí odkaz:
http://arxiv.org/abs/quant-ph/0108064