Geometric distinguishability measures limit quantum channel estimation and discrimination

DOI10.1007/s11128-021-02992-7OpenAlexW3130462805MaRDI QIDQ2687122

Vishal Katariya, Mark M. Wilde

Publication date: 1 March 2023

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10708

zbMATH Keywords

quantum channel discriminationgeometric Rényi relative entropyquantum channel estimation

Mathematics Subject Classification ID

Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state estimation, approximate cloning (81P50) Quantum state tomography, quantum state discrimination (81P18)

Related Items (1)

The α → 1 limit of the sharp quantum Rényi divergence

Uses Software

• QCQP

Cites Work

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• Quantum systems, channels, information. A mathematical introduction.
• Quantum detection and estimation theory
• Comparison between the Cramer-Rao and the mini-max approaches in quantum channel estimation
• Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy
• On an inequality of Lieb and Thirring
• Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
• Quasi-entropies for states of a von Neumann algebra
• Quasi-entropies for finite quantum systems
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• The proper formula for relative entropy and its asymptotics in quantum probability
• The transition probability in the state space of a \(^*\)-algebra
• Information-theoretical aspects of quantum measurement
• Means of positive linear operators
• Monotone metrics on matrix spaces
• Geometric Rényi divergence and its applications in quantum channel capacities
• Amortized channel divergence for asymptotic quantum channel discrimination
• Multiplicativity of completely bounded \(p\)-norms implies a strong converse for entanglement-assisted capacity
• A new quantum version of \(f\)-divergence
• Strong converse exponents for a quantum channel discrimination problem and quantum-feedback-assisted communication
• On a measure of distance for quantum strategies
• Quantum state discrimination bounds for finite sample size
• Two Approaches to Obtain the Strong Converse Exponent of Quantum Hypothesis Testing for General Sequences of Quantum States
• Strong Converse Rates for Quantum Communication
• QUANTUM f-DIVERGENCES AND ERROR CORRECTION
• REVERSIBILITY CONDITIONS FOR QUANTUM OPERATIONS
• True precision limits in quantum metrology
• A fibre bundle over manifolds of quantum channels and its application to quantum statistics
• On the capacities of bipartite hamiltonians and unitary gates
• Parameter Estimation of Quantum Channels
• SUFFICIENCY OF CHANNELS OVER VON NEUMANN ALGEBRAS
• Contraction of Generalized Relative Entropy Under Stochastic Mappings on Matrices
• Multiple-parameter quantum estimation and measurement of nonselfadjoint observables
• The Geometric Mean, Matrices, Metrics, and More
• JENSEN'S OPERATOR INEQUALITY
• Two quantum analogues of Fisher information from a large deviation viewpoint of quantum estimation
• Quantum parameter estimation of a generalized Pauli channel
• Bures volume of the set of mixed quantum states
• Statistical distance and the geometry of quantum states
• Amortized entanglement of a quantum channel and approximately teleportation-simulable channels
• The Theory of Quantum Information
• Optimized quantumf-divergences and data processing
• Symmetric informationally complete quantum measurements
• Theoretical framework for quantum networks
• A Fully Quantum Asymptotic Equipartition Property
• Min- and Max-Relative Entropies and a New Entanglement Monotone
• Discrimination of Two Channels by Adaptive Methods and Its Application to Quantum System
• Jointly Constrained Semidefinite Bilinear Programming With an Application to Dobrushin Curves
• Efficient tools for quantum metrology with uncorrelated noise
• Quantum Reading Capacity: General Definition and Bounds
• Converse Bounds for Private Communication Over Quantum Channels
• On the Quantum Rényi Relative Entropies and Related Capacity Formulas
• Optimal phase estimation in quantum networks
• Different quantum f-divergences and the reversibility of quantum operations
• A limit of the quantum Rényi divergence
• Quantum Fisher Information for Density Matrices with Arbitrary Ranks
• On quantum Rényi entropies: A new generalization and some properties
• Simpler semidefinite programs for completely bounded norms
• Quantum Information Processing with Finite Resources
• Conditional expectation in an operator algebra. IV. Entropy and information
• Positive Functions on C ∗ -Algebras
• On the discontinuity of the quantum Fisher information for quantum statistical models with parameter dependent rank
• Quantum Information Theory
• Fidelity and Fisher information on quantum channels

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