Decoding quantum information via the Petz recovery map

DOI10.1063/1.4961515zbMath1381.81022arXiv1504.04449OpenAlexW1905286351MaRDI QIDQ2820905

Felix Leditzky, Salman Beigi, Nilanjana Datta

Publication date: 12 September 2016

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

Full work available at URL: https://arxiv.org/abs/1504.04449

zbMATH Keywords

quantum communication

Mathematics Subject Classification ID

Cryptography (94A60) Bounds on codes (94B65) Channel models (including quantum) in information and communication theory (94A40) Quantum coherence, entanglement, quantum correlations (81P40) Coding theorems (Shannon theory) (94A24) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum coding (general) (81P70)

Related Items (3)

Multivariate trace inequalities, p-fidelity, and universal recovery beyond tracial settings ⋮ Position-based coding and convex splitting for private communication over quantum channels ⋮ Entanglement-assisted private communication over quantum broadcast channels

Cites Work

• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• Quantum conditional mutual information and approximate Markov chains
• Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy
• Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
• The capacity of a quantum channel for simultaneous transmission of classical and quantum information
• A simple formula for the average gate fidelity of a quantum dynamical operation
• Structure of states which satisfy strong subadditivity of quantum entropy with equality
• Second-order asymptotics for quantum hypothesis testing
• One-shot decoupling
• Second-Order Asymptotics for Source Coding, Dense Coding, and Pure-State Entanglement Conversions
• Quantum Achievability Proof via Collision Relative Entropy
• A Decoupling Approach to the Quantum Capacity
• Random Quantum Codes from Gaussian Ensembles and an Uncertainty Relation
• The Private Classical Capacity and Quantum Capacity of a Quantum Channel
• Second-Order Asymptotics in Fixed-Length Source Coding and Intrinsic Randomness
• SUFFICIENCY OF CHANNELS OVER VON NEUMANN ALGEBRAS
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Capacities of Quantum Erasure Channels
• On quantum fidelities and channel capacities
• General teleportation channel, singlet fraction, and quasidistillation
• Reversing quantum dynamics with near-optimal quantum and classical fidelity
• The Operational Meaning of Min- and Max-Entropy
• Information Spectrum Approach to Second-Order Coding Rate in Channel Coding
• A Fully Quantum Asymptotic Equipartition Property
• Min- and Max-Relative Entropies and a New Entanglement Monotone
• The Quantum Capacity of Channels With Arbitrarily Correlated Noise
• The apex of the family tree of protocols: optimal rates and resource inequalities
• Distilling entanglement from arbitrary resources
• Duality Between Smooth Min- and Max-Entropies
• Channel Coding Rate in the Finite Blocklength Regime
• “Pretty Strong” Converse for the Quantum Capacity of Degradable Channels
• A Hierarchy of Information Quantities for Finite Block Length Analysis of Quantum Tasks
• On quantum Rényi entropies: A new generalization and some properties

This page was built for publication: Decoding quantum information via the Petz recovery map