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Asymptotic majorization of finite probability distributions · Around

2018

Asymptotic majorization of finite probability distributions

Jensen, Asger Kjærulff

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This paper studies majorization of high tensor powers of finitely supported probability distributions.

Viewing probability distributions as a resource with majorization as a means of transformation corresponds to the resource theory of pure bipartite quantum states under LOCC transformations vis-\`a-vis Nielsen's Theorem.
In [T.
Fritz (2017)] a formula for the asymptotic exchange rate between any two finitely supported probability distributions was conjectured.

Built on

M. A. Nielsen, “Conditions for a class of entanglement transformations,” Phys. Rev. Lett
1999
Earlier work this paper cites.
M. Hayashi, M. Koashi, K. Matsumoto, F. Morikoshi, and A. Winter, “Error exponents for entanglement concentration,” J. Phys. A
Original
2003
Earlier work this paper cites.

Similar

New York, NY, USA: Cambridge University Press, 10th ed., 2011
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition · 2011
Cited alongside, same era.
T. Fritz, “Resource convertibility and ordered commutative monoids,” Mathematical Structures in Computer Science
2017
Cited alongside, same era.

Then

A. K. Jensen and P. Vrana, “The asymptotic spectrum of LOCC transformations,” arXiv:1807.05130
Original
2018
Closest in time.

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