Results 31 to 40 of about 470,444 (191)
Electronic Proceedings in Theoretical Computer Science, 2017 In 1973 Paschke defined a factorization for completely positive maps between C*-algebras. In this paper we show that for normal maps between von Neumann algebras, this factorization has a universal property, and coincides with Stinespring's dilation for ...
Abraham Westerbaan, Bas Westerbaan
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Canonical structure of A and B maps
Quanta, 2021 In their seminal 1961 paper, Sudarshan, Mathews and Rau investigated properties of the dynamical A and B maps acting on n-dimensional quantum systems. The nature of dynamical maps in open quantum system evolutions has attracted great deal of attention ...
Sudha Sudha +3 more
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On the Alberti-Uhlmann Condition for Unital Channels [PDF]
Quantum, 2020 We address the problem of existence of completely positive trace preserving (CPTP) maps between two sets of density matrices. We refine the result of Alberti and Uhlmann and derive a necessary and sufficient condition for the existence of a unital ...
Sagnik Chakraborty +3 more
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Quantum Weak Invariants: Dynamical Evolution of Fluctuations and Correlations
Entropy, 2020 Weak invariants are time-dependent observables with conserved expectation values. Their fluctuations, however, do not remain constant in time. On the assumption that time evolution of the state of an open quantum system is given in terms of a completely ...
Zeyi Shi, Sumiyoshi Abe
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Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 In this paper, W*-algebras are presented as canonical colimits of diagrams of matrix algebras and completely positive maps. In other words, matrix algebras are dense in W*-algebras.
Mathys Rennela +2 more
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Completely positive maps and classical correlations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 We expand the set of initial states of a system and its environment that are known to guarantee completely positive reduced dynamics for the system when the combined state evolves unitarily. We characterize the correlations in the initial state in terms of its quantum discord [H. Ollivier and W. H. Zurek, Phys. Rev. Lett. 88, 017901 (2001)].
Rodríguez-Rosario, César A. +4 more
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Extremal problems for completely positive maps
International Journal of Mathematics and Mathematical Sciences, 1994 In this note, we study the faces of some convex subsets of CPc(A,B(ℋ))(the continuous completely positive linear maps from pro-C*-algebra A to B(ℋ)).
Mingze Yang
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Time inhomogeneous quantum dynamical maps
Scientific Reports, 2022 We discuss a wide class of time inhomogeneous quantum evolution which is represented by two-parameter family of completely positive trace-preserving maps. These dynamical maps are constructed as infinite series of jump processes.
Dariusz Chruściński
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Completely positive module maps and completely positive extreme maps [PDF]
Proceedings of the American Mathematical Society, 1996 Let A , B A,B
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Bloch equations and completely positive maps [PDF]
Journal of Modern Optics, 2004 The phenomenological dissipation of the Bloch equations is reexamined in the context of completely positive maps. Such maps occur if the dissipation arises from a reduction of a unitary evolution of a system coupled to a reservoir. In such a case the reduced dynamics for the system alone will always yield completely positive maps of the density ...
Daffer, Sonja +2 more
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