Unambiguous discrimination among quantum operations

Abstract

We address the problem of unambiguous discrimination among a given set of quantum operations. The necessary and sufficient condition for them to be unambiguously distinguishable is derived in the cases of single use and multiple uses respectively. For the latter case we explicitly construct the input states and corresponding measurements that accomplish the task. It is found that the introduction of entanglement can improve the discrimination.

5 pages, no figure

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Cited by in corpus (60)

• Gaussian Quantum Information
• The Perfect Distinguishability of Quantum Operations
• Fundamental limits to quantum channel discrimination
• Adaptive versus non-adaptive strategies for quantum channel discrimination
• Experimental quantum process tomography of non trace-preserving maps
• Process POVM: A mathematical framework for the description of process tomography experiments
• Local Distinguishability of Multipartite Unitary Operations
• Ultimate limits for multiple quantum channel discrimination
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• Quantifying the resource content of quantum channels: An operational approach
• Entanglement-enhanced testing of multiple quantum hypotheses
• Unambiguous discrimination among oracle operators
• Entanglement and secret-key-agreement capacities of bipartite quantum interactions and read-only memory devices
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• Experimental quantum reading with photon counting
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• Strong and uniform convergence in the teleportation simulation of bosonic Gaussian channels
• Unambiguous comparison of unitary channels
• Discrete outcome quantum sensor networks
• Optimal control for quantum detectors
• Ultimate Limits of Thermal Pattern Recognition
• Experimentally feasible measures of distance between quantum operations
• Quantum reading capacity: General definition and bounds
• Optimal discrimination between quantum operations
• Optimal two-copy discrimination of quantum measurements
• Discriminating qubit amplitude damping channels
• Identification of a reversible quantum gate: assessing the resources
• Quantum-machine-learning channel discrimination
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• Capability of local operations and classical communication for distinguishing bipartite unitary operations
• Quantum rebound capacity
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• Optimal environment localization
• Discrimination of dephasing channels
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• Local Unambiguous Discrimination with Remaining Entanglement
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• Quantum Approximation of Normalized Schatten Norms and Applications to Learning
• Unambiguous discrimination of general quantum operations
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• Error Probability Mitigation in Quantum Reading using Classical Codes
• Ancilla-Assisted Discrimination of Quantum Gates
• Discrimination of bosonic dephasing quantum channels
• Bayesian and Markovian classical feedforward for discriminating qubit channels
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