Strassen's theorem for quantum couplings

DOI10.1016/j.tcs.2019.08.026zbMath1442.81005OpenAlexW2969498931WikidataQ127341487 ScholiaQ127341487MaRDI QIDQ2007728

Nengkun Yu, Li Zhou, Shenggang Ying, Ming Sheng Ying

Publication date: 22 November 2019

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2019.08.026

zbMATH Keywords

Strassen's theoremquantum couplingquantum lifting

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) General and philosophical questions in quantum theory (81P05) Quantum measurement theory, state operations, state preparations (81P15) Random measures (60G57) Quantum state spaces, operational and probabilistic concepts (81P16) Quantum entropies (81P17)

Related Items (2)

Quantum earth mover’s distance, a no-go quantum Kantorovich–Rubinstein theorem, and quantum marginal problem ⋮ Quantum Strassen’s theorem

Cites Work

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• Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints
• Classification and decomposition of quantum Markov semigroups
• Stability of a 4th-order curvature condition arising in optimal transport theory
• Reachability Probabilities of Quantum Markov Chains
• Proving Differential Privacy via Probabilistic Couplings
• One-dimensional quantum walks
• Quantum walks on graphs
• Formal certification of code-based cryptographic proofs
• On an extension problem for density matrices
• The Existence of Probability Measures with Given Marginals

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