Completely positive completely positive maps (and a resource theory for non-negativity of quantum amplitudes)

DOI10.1016/j.laa.2022.08.016OpenAlexW3209380818WikidataQ114151222 ScholiaQ114151222MaRDI QIDQ2676754

Nathaniel Johnston, Jamie Sikora

Publication date: 28 September 2022

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.13568

zbMATH Keywords

completely positive matricescompletely positive mapsquantum resource theories

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Quantum coherence, entanglement, quantum correlations (81P40)

Uses Software

• CVX

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the computational complexity of membership problems for the completely positive cone and its dual
• On nonnegative factorization of matrices
• Complete positivity
• Nonnegative factorization of positive semidefinite nonnegative matrices
• Completely positive linear maps on complex matrices
• Notes on modified trace distance measure of coherence
• Completely positive semidefinite rank
• The maximal cp-rank of rank \(k\) completely positive matrices
• Positively factorizable maps
• On the cp-Rank and Minimal cp Factorizations of a Completely Positive Matrix
• Quantifying the imaginarity of quantum mechanics
• The modified trace distance of coherence is constant on most pure states
• The resource theory of stabilizer quantum computation
• Remarks on entanglement measures and non-local state distinguishability
• Convex geometry of quantum resource quantification
• The Theory of Quantum Information
• Pairwise Completely Positive Matrices and Conjugate Local Diagonal Unitary Invariant Quantum States

This page was built for publication: Completely positive completely positive maps (and a resource theory for non-negativity of quantum amplitudes)