There Are Many More Positive Maps Than Completely Positive Maps

DOI10.1093/imrn/rnx203zbMath1439.13069arXiv1611.02838OpenAlexW3104049502MaRDI QIDQ5243269

Klemen Šivic, Aljaž Zalar, Igor Klep, Scott A. McCullough

Publication date: 18 November 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02838

Mathematics Subject Classification ID

Semidefinite programming (90C22) Inequalities and extremum problems involving convexity in convex geometry (52A40) Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Real algebra (13J30) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (8)

A Hill-Pick matrix criterion for the Lyapunov order ⋮ New examples of extremal positive linear maps ⋮ A practical approach to SOS relaxations for detecting quantum entanglement ⋮ Positive maps and entanglement in real Hilbert spaces ⋮ Linear matrix maps for which positivity and complete positivity coincide ⋮ Multihomogeneous nonnegative polynomials and sums of squares ⋮ NONNEGATIVE POLYNOMIALS, SUMS OF SQUARES AND THE MOMENT PROBLEM ⋮ Hill representations for \(\ast\)-linear matrix maps

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