Isotropic quantum spin channels and additivity questions

2004/02/12 by Robert Alicki, Alicki, Robert · 1 citation
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0402080

5 pages

arxiv created 2004/02/12 · arxiv updated 2009/12/01

Abstract

The minimum entropy output is computed for rotationally invariant quantum channels acting on spin-1/2 and spin-1 systems. For the case of two parallel such channels and initial entangled (singlet) state the entropy of the output is higher then the doubled minimal entropy output of the single channel. This gives a certain moral support to the additivity hypothesis. Another related simple function of the channel (minimum entropy gain) is shown to be additive in general.

Cited by

• On Hastings' Counterexamples to the Minimum Output Entropy Additivity Conjecture

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