Entropy measures and catalysis of bipartite quantum state transformations

Given probability vectors x and y, necessary and sufficient conditions are given for the existence of a probability vector z such that xominusz is majorized by yominusz. This is of interest because the "catalytic majorization" relation is known to be useful in classifying which transformat...

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Bibliographic Details
Main Author: Klimesh, M.
Format: Conference Proceeding
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Entropy
Exact sciences and technology
Information theory
Information, signal and communications theory
Laboratories
Postal services
Propulsion
Quantum entanglement
Quantum mechanics
Sufficient conditions
Telecommunications and information theory
Tensile stress
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Summary:Given probability vectors x and y, necessary and sufficient conditions are given for the existence of a probability vector z such that xominusz is majorized by yominusz. This is of interest because the "catalytic majorization" relation is known to be useful in classifying which transformations of jointly held pure quantum states are possible using local operations and classical communication when an additional jointly held state may be specified to facilitate the transformation without being consumed
DOI:10.1109/ISIT.2004.1365394