Approximating projections by quantum operations

DOI10.1016/j.laa.2023.01.008OpenAlexW4317214040MaRDI QIDQ2685389

Aneesh Khilnani, Thomas Sinclair, Roy Araiza, Colton Griffin

Publication date: 21 February 2023

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

Full work available at URL: https://arxiv.org/abs/2203.02627

zbMATH Keywords

semidefinite programmingquantum channelsgraph invariants

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Operator spaces and completely bounded maps (46L07) Linear operators in (C^*)- or von Neumann algebras (47C15) Quantum channels, fidelity (81P47)

Cites Work

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• On the quantum chromatic number of a graph
• Injectivity and operator spaces
• The Schur complement and its applications
• Approximation algorithms for MAX-3-CUT and other problems via complex semidefinite programming
• Zero-Error Communication via Quantum Channels, Noncommutative Graphs, and a Quantum Lovász Number
• Approximation Algorithms and Semidefinite Programming
• On the Shannon capacity of a graph
• Semidefinite Programming
• Operator system quotients of matrix algebras and their tensor products

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