Relative submajorization and its use in quantum resource theories

DOI10.1063/1.4972295zbMath1355.81051arXiv1510.03695OpenAlexW1961608958WikidataQ59453534 ScholiaQ59453534MaRDI QIDQ2951754

Joseph M. Renes

Publication date: 9 January 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03695

zbMATH Keywords

majorizationLorenz curvesquantum coherencesubmajorizationstochastic transformations

Mathematics Subject Classification ID

Coherent states (81R30) Classical and relativistic thermodynamics (80A10) Variational principles of physics (49S05) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (7)

A generalization of Strassen's theorem on preordered semirings ⋮ Extending Resource Monotones using Kan Extensions ⋮ Extremal distributions under approximate majorization ⋮ Submajorization on \(\ell^p(I)^+\) determined by increasable doubly substochastic operators and its linear preservers ⋮ Asymptotic relative submajorization of multiple-state boxes ⋮ On distinguishability distillation and dilution exponents ⋮ Two constructive proofs on d-majorization and thermo-majorization

Cites Work

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• Structure of states which satisfy strong subadditivity of quantum entropy with equality
• Majorization and divergence
• (QUANTUMNESS IN THE CONTEXT OF) RESOURCE THEORIES
• Saddle Point in the Minimax Converse for Channel Coding
• SUFFICIENCY OF CHANNELS OVER VON NEUMANN ALGEBRAS
• Markov Chains
• Reversing quantum dynamics with near-optimal quantum and classical fidelity
• A measure of majorization emerging from single-shot statistical mechanics
• Mixed-state entanglement and quantum error correction
• Elements of Information Theory
• Comparison of experiments when the parameter space is finite
• Least d-Majorized Network Flows with Inventory and Statistical Applications
• Equivalent Comparisons of Experiments
• Thermodynamic cost of reliability and low temperatures: Tightening Landauer's principle and the second law

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