Results 41 to 50 of about 470,444 (191)
Completely positive maps for reduced states of indistinguishable particles [PDF]
Physical Review A, 2018 We introduce a framework for the construction of completely positive maps for subsystems of indistinguishable fermionic particles. In this scenario, the initial global state is always correlated, and it is not possible to tell system and environment ...
L. Souza +4 more
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Divisibility of qubit channels and dynamical maps [PDF]
Quantum, 2019 The concept of divisibility of dynamical maps is used to introduce an analogous concept for quantum channels by analyzing the simulability of channels by means of dynamical maps.
David Davalos +2 more
doaj +1 more source
A completely positive map associated with a positive map [PDF]
Pacific Journal of Mathematics, 2011 We show that each positive map from B(K) to B(H) with K and H finite dimensional Hilbert spaces is a scalar multiple of a map of the form $Tr - ψ$ with $ψ$ completely positive. This is used to give necessary and sufficient conditions for maps to be C-positive for a large class of mapping cones; in particular we apply the results to k-positive maps.
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Universal Properties in Quantum Theory [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We argue that notions in quantum theory should have universal properties in the sense of category theory. We consider the completely positive trace preserving (CPTP) maps, the basic notion of quantum channel.
Mathieu Huot, Sam Staton
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Graph products of completely positive maps [PDF]
Journal of operator theory, 2017 We define the graph product of unital completely positive maps on a universal graph product of unital C∗-algebras and show that it is unital completely positive itself.
Scott Atkinson
semanticscholar +1 more source
Pictures of complete positivity in arbitrary dimension [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 Two fundamental contributions to categorical quantum mechanics are presented. First, we generalize the CP-construction, that turns any dagger compact category into one with completely positive maps, to arbitrary dimension.
Bob Coecke, Chris Heunen
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Dilations, inclusions of matrix convex sets, and completely positive maps [PDF]
, 2016 A matrix convex set is a set of the form $\mathcal{S} = \cup_{n\geq 1}\mathcal{S}_n$ (where each $\mathcal{S}_n$ is a set of $d$-tuples of $n \times n$ matrices) that is invariant under UCP maps from $M_n$ to $M_k$ and under formation of direct sums.
K. Davidson +3 more
semanticscholar +1 more source
Completely positive classical structures and sequentializable quantum protocols [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 We study classical structures in various categories of completely positive morphisms: on sets and relations, on cobordisms, on a free dagger compact category, and on Hilbert spaces.
Chris Heunen, Sergio Boixo
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Entanglement-breaking superchannels [PDF]
Quantum, 2020 In this paper we initiate the study of entanglement-breaking (EB) superchannels. These are processes that always yield separable maps when acting on one side of a bipartite completely positive (CP) map.
Senrui Chen, Eric Chitambar
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Causality and the complete positivity of classical polarization maps [PDF]
Optics Letters, 2011 Mueller and Jones matrices have been thoroughly studied as mathematical tools to describe the manipulation of the polarization state of classical light. In particular, the most general physical transformation on the polarization state has been represented as an ensemble of Jones matrices, as ∑iV(i)ΦV(i)(†).
Omar, Gamel, Daniel F V, James
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