Stabilizer information inequalities from phase space distributions

DOI10.1063/1.4818950zbMath1288.81021arXiv1302.6990OpenAlexW3099193212MaRDI QIDQ5407640

Michael Walter, David J. Gross

Publication date: 7 April 2014

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

Full work available at URL: https://arxiv.org/abs/1302.6990

zbMATH Keywords

Wigner functionvon Neumann entropyGaussian statesInformation inequalitiesStabilizer states

Mathematics Subject Classification ID

Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (12)

Holographic duality from random tensor networks ⋮ The holographic entropy cone ⋮ Holographic entropy inequalities and gapped phases of matter ⋮ A family of generalized quantum entropies: definition and properties ⋮ On the relation between the subadditivity cone and the quantum entropy cone ⋮ Linearity of holographic entanglement entropy ⋮ Stabilizer Rényi entropy on qudits ⋮ Recoupling coefficients and quantum entropies ⋮ Hypergraph min-cuts from quantum entropies ⋮ Analysing causal structures with entropy ⋮ Schur-Weyl duality for the Clifford group with applications: property testing, a robust Hudson theorem, and de Finetti representations ⋮ A non-commuting stabilizer formalism

Cites Work

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• Infinitely Many Constrained Inequalities for the von Neumann Entropy
• The structure of Rényi entropic inequalities

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