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Semidefinite programs for completely bounded norms

2009/01/29 by John Watrous, Watrous, John · 17 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Optimization Algorithms Research #Machine Learning and Algorithms #Numerical Methods and Algorithms #quant-ph

paper · pdf · doi:10.48550/arxiv.0901.4709

17 pages, references added in version 2

arxiv created 2009/04/15 · arxiv updated 2009/12/01

Abstract

The completely bounded trace and spectral norms in finite dimensions are shown to be expressible by semidefinite programs. This provides an efficient method by which these norms may be both calculated and verified, and gives alternate proofs of some known facts about them.

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