Maximum Confidence Quantum Measurements

Abstract

We consider the problem of discriminating between states of a specified set with maximum confidence. For a set of linearly independent states unambiguous discrimination is possible if we allow for the possibility of an inconclusive result. For linearly dependent sets an analogous measurement is one which allows us to be as confident as possible that when a given state is identified on the basis of the measurement result, it is indeed the correct state.

4 pages, 2 figures

References in corpus (8)

• Quantum State Discrimination
• Unambiguous Discrimination Between Linearly-Independent Quantum States
• Experimental Demonstration of Optimal Unambiguous State Discrimination
• Accessible information and optimal strategies for real symmetrical quantum sources
• Optimal distinction between non-orthogonal quantum states
• Experimental realization of optimal detection strategies for overcomplete states
• Optimum detection for extracting maximum information from symmetric qubit sets
• Fidelity and the communication of quantum information

Cited by in corpus (83)

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• Experimental minimum-error quantum-state discrimination in high dimensions
• Optimum Unambiguous Discrimination of Linearly Independent Pure States
• Optimal discrimination of quantum states with a fixed rate of inconclusive outcomes
• Experimental Realization of Maximum Confidence State Discrimination for the Extraction of Quantum Information
• State discrimination with error margin and its locality
• Contextual advantages and certification for maximum confidence discrimination
• Optimal state discrimination with a fixed rate of inconclusive results: Analytical solutions and relation to state discrimination with a fixed error rate
• Complete analysis for three-qubit mixed-state discrimination
• Discrimination with error margin between two states - Case of general occurrence probabilities -
• Optimal bounded-error strategies for projective measurements in non-orthogonal state discrimination
• Fair Loss-Tolerant Quantum Coin Flipping
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• Security Details for Bit Commitment by Transmitting Measurement Outcomes
• Optimal measurements for the discrimination of quantum states with a fixed rate of inconclusive results
• Programmable unknown quantum-state discriminators with multiple copies of program and data: A Jordan basis approach
• Unambiguous state discrimination: optimal solution and case study
• Quantum teleportation via maximum-confidence quantum measurements
• Optimal discrimination of single-qubit mixed states
• Discriminating mirror symmetric states with restricted contextual advantage
• Optimal sequential measurements for bi-partite state discrimination
• Minimum-error discrimination of entangled quantum states
• Deterministic and probabilistic entanglement swapping of nonmaximally entangled states assisted by optimal quantum state discrimination
• Optimized maximum-confidence discrimination of N mixed quantum states and application to symmetric states
• An optimal discrimination of two mixed qubit states with a fixed rate of inconclusive results
• Experimental quantum state discrimination using the optimal fixed rate of inconclusive outcomes strategy
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• Enhanced discrimination of high-dimensional quantum states by concatenated optimal measurement strategies
• Confidence and Backaction in the Quantum Filter Equation
• Maximum confidence measurement for qubit states
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• Discrimination with an error margin among three symmetric states of a qubit
• Parametric separation of symmetric pure quantum states
• Quantum measurements of atoms using cavity QED
• Perfect discrimination of non-orthogonal quantum states with posterior classical partial information
• Certified answers for ordered quantum discrimination problems
• Cost of postselection in decision theory
• Retrodictive fidelities for pure state postselectors
• Telecloning of qudits via partially entangled states
• Optimal minimum-cost quantum measurements for imperfect detection
• Coherence based on positive operator-valued measures for standard and concatenated quantum state discrimination with inconclusive results
• Geometric Bloch Vector Solution to Minimum Error Discriminations of Mixed Qubit States
• Contextuality witness inspired by optimal state discrimination
• Preamplified photodetectors for high-fidelity postselecting optical devices
• Optimal unambiguous comparison of two unknown squeezed vacua
• Ultimate limits of approximate unambiguous discrimination
• Experimental optimal discrimination of $N$ states of a qubit with fixed rates of inconclusive outcomes
• Optimal linear optical discrimination of Bell-like states
• Training quantum measurement devices to discriminate unknown non-orthogonal quantum states
• Worst-case Quantum Hypothesis Testing with Separable Measurements
• Postselected communication over quantum channels
• Violating the Modified Helstrom Bound with Nonprojective Measurements
• Quantum communications in continuous variable systems
• Quantum classification
• Fidelity for imperfect postselection
• Entanglement witness and multipartite quantum state discrimination
• $\mathcal{P}\mathcal{T}$-symmetric mapping of three states and its implementation on a cloud quantum processor
• Qubit State Discrimination using Post-measurement Information
• Entanglement witness and nonlocality in confidence of measurement from multipartite quantum state discrimination
• Parameter estimation for mixed states from a single copy
• Contextual advantages across two-state discrimination strategies
• Minimum-error discrimination of thermal states
• Experimental multi-state quantum discrimination through a Quantum network
• Strongly non-quantitative classical information in quantum carriers
• Contextuality-enhanced quantum state discrimination under fixed failure probability
• Discrimination of metric theories
• Quantum State Discrimination via Repeated Measurements and the Rule of Three
• Multi-player quantum data hiding by nonlocal quantum state ensembles
• Dealing with ignorance: universal discrimination, learning and quantum correlations
• Quantum Physics in Space
• Quantum vs. noncontextual semi-device-independent randomness certification
• Error-Tolerant Quantum State Discrimination: Optimization and Quantum Circuit Synthesis
• Sharing quantum indistinguishability with multiple parties
• Sequential Semi-Device-Independent Quantum Randomness Certification
• Factorizability of optimal quantum sequence discrimination under maximum-confidence measurements
• Metainformation in Quantum Guessing Games