Results 31 to 40 of about 1,511,858 (279)
Asymptotic lifts of positive linear maps [PDF]
Pacific Journal of Mathematics, 2007 We show that the notion of asymptotic lift generalizes naturally to normal positive maps $ $ acting on von Neumann algebras M. We focus on cases in which the domain of the asymptotic lift can be embedded as an operator subsystem of M, and characterize when that subsystem is a Jordan subalgebra of M in terms of the asymptotic multiplicative properties ...
Arveson, William, Størmer, Erling
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Finding the Kraus decomposition from a master equation and vice versa [PDF]
, 2007 For any master equation which is local in time, whether Markovian, non-Markovian, of Lindblad form or not, a general procedure is reviewed for constructing the corresponding linear map from the initial state to the state at time t, including its Kraus ...
Andersson, Erika +2 more
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Choi's Proof and Quantum Process Tomography [PDF]
, 2002 Quantum process tomography is a procedure by which an unknown quantum operation can be fully experimentally characterized. We reinterpret Choi's proof of the fact that any completely positive linear map has a Kraus representation [Lin. Alg. and App., 10,
Childs +17 more
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Operator inequalities of Jensen type
Topological Algebra and its Applications, 2013 We present some generalized Jensen type operator inequalities involving sequences of self-adjoint operators.
Moslehian M. S., Mićić J., Kian M.
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Infinite dimensional generalizations of Choi’s Theorem
Special Matrices, 2019 In this paper we give a simple sequence of necessary and sufficient finite dimensional conditions for a positive map between certain subspaces of bounded linear operators on separable Hilbert spaces to be completely positive. These criterions are natural
Friedland Shmuel
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On the Debate Concerning the Proper Characterisation of Quantum Dynamical Evolution [PDF]
, 2012 There has been a long-standing and sometimes passionate debate between physicists over whether a dynamical framework for quantum systems should incorporate not completely positive (NCP) maps in addition to completely positive (CP) maps.
Cuffaro, Michael E., Myrvold, Wayne C.
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Non-linear positive maps between C*-algebras [PDF]
Linear and Multilinear Algebra, 2018 We present some properties of (not necessarily linear) positive maps between $C^*$-algebras. We first extend the notion of Lieb functions to that of Lieb positive maps between $C^*$-algebras. Then we give some basic properties and fundamental inequalities related to such maps. Next, we study $n$-positive maps ($n\geq 2$).
Ali Dadkhah, Mohammad Sal Moslehian
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Positive Maps and Separable Matrices
, 2016 A linear map between real symmetric matrix spaces is positive if all positive semidefinite matrices are mapped to positive semidefinite ones. A real symmetric matrix is separable if it can be written as a summation of Kronecker products of positive ...
Nie, Jiawang, Zhang, Xinzhen
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Detecting and quantifying entanglement on near-term quantum devices
npj Quantum Information, 2022 Quantum entanglement is a key resource in quantum technology, and its quantification is a vital task in the current noisy intermediate-scale quantum (NISQ) era.
Kun Wang +4 more
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Extreme positive linear maps between Jordan Banach algebras [PDF]
Bulletin of the Australian Mathematical Society, 1987 Let A and B be unital JB-algebras. We study the extremal structure of the convex set S (A,B) of all identity preserving positive linear maps from A to B. We show that every unital Jordan homomorphism from A to B is an extreme point of S (A,B). An extreme point of S (A,B) need not be a homomorphism and we show that, given A, every extreme point of S (A ...
Chu, Cho-Ho, Jeffries, Nigel P. H.
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