Optimal state discrimination with an error margin of pure and mixed symmetric states: irreducible qudit and reducible qubit states

DOI10.1088/1751-8121/aa6995zbMath1368.81059OpenAlexW2598396278MaRDI QIDQ5274899

E. Faizi, P. Mahmoudi, D. Akhgar, Mohammad Ali Jafarizadeh

Publication date: 6 July 2017

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

Full work available at URL: https://doi.org/10.1088/1751-8121/aa6995

zbMATH Keywords

minimum error discriminationunambiguous discriminationquantum states discriminationstate discrimination with an error margin

Mathematics Subject Classification ID

Error probability in coding theory (94B70) Quantum state estimation, approximate cloning (81P50)

Cites Work

• Quantum detection and estimation theory
• Optimum measurements for discrimination among symmetric quantum states and parameter estimation
• Statistical decision theory for quantum systems
• Optimum testing of multiple hypotheses in quantum detection theory
• Optimal distinction between non-orthogonal quantum states
• Strategies for discriminating between non-orthogonal quantum states
• A ‘Pretty Good’ Measurement for Distinguishing Quantum States
• On quantum detection and the square-root measurement
• A semidefinite programming approach to optimal unambiguous discrimination of quantum states

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