Results 31 to 40 of about 1,504,261 (185)
An Operator Extension of Čebyšev Inequality
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 Some operator inequalities for synchronous functions that are related to the čebyšev inequality are given. Among other inequalities for synchronous functions it is shown that ∥ø(f(A)g(A)) - ø(f(A))ø(g(A))∥ ≤ max{║ø(f2(A)) - ø2(f(A))║, ║ø)G2(A)) - ø2(g(A))
Moradi Hamid Reza +2 more
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Complete positivity of mapping valued linear maps
Mathematische Zeitschrift, 1988 We consider the matrix order structure of ordered Banach space. This notion is an extended version of the order structure of a \(C^ *\)- algebra or a predual of von Neumann algebra induced by the cone of its positive elements. Corresponding to the case that the associated algebra is abelian, we introduce the notion, a matrix ordered Banach space of ...
Itoh, Takashi, Nagisa, Masaru
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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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A Semidefinite Hierarchy for Containment of Spectrahedra [PDF]
, 2015 A spectrahedron is the positivity region of a linear matrix pencil and thus the feasible set of a semidefinite program. We propose and study a hierarchy of sufficient semidefinite conditions to certify the containment of a spectrahedron in another one ...
Kellner, Kai +2 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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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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