Complete solution for unambiguous discrimination of three pure states with real inner products

DOI10.1103/PhysRevA.82.032338zbMath1255.81100arXiv1007.5112OpenAlexW2022280877MaRDI QIDQ4903075

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Publication date: 19 January 2013

Published in: Physical Review A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.5112

zbMATH Keywords

unambiguous discriminationthree pure states

Mathematics Subject Classification ID

Quantum state estimation, approximate cloning (81P50)

Related Items (9)

Unambiguous correct discrimination among symmetric qudit states ⋮ Effective quantum channel for minimum error discrimination ⋮ An optimal discrimination of two mixed qubit states with a fixed rate of inconclusive results ⋮ Optimal unambiguous discrimination of pure qudits ⋮ Geometric phases for finite-dimensional systems—The roles of Bargmann invariants, null phase curves, and the Schwinger–Majorana SU(2) framework ⋮ A minimal set of measurements for qudit-state tomography based on unambiguous discrimination ⋮ Reconstruction of bipartite states via unambiguous state discrimination and mutually unbiased measurement ⋮ Parametrization of quantum states based on the quantum state discrimination problem ⋮ Revisiting unambiguous discrimination

Uses Software

• SDPA

Cites Work

• Quantum detection and estimation theory
• Optimal distinction between two non-orthogonal quantum states
• Unambiguous discrimination between linearly independent quantum states.
• Optimal distinction between non-orthogonal quantum states
• Implementation and evaluation of SDPA 6.0 (Semidefinite Programming Algorithm 6.0)
• A semidefinite programming approach to optimal unambiguous discrimination of quantum states
• Semidefinite Programming
• Unnamed Item

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