Unambiguous discrimination of linearly independent pure quantum states: Optimal average probability of success
arXiv:1404.3574 · doi:10.1103/PhysRevA.90.030301
Abstract
We consider the problem of unambiguous (error-free) discrimination of N linearly independent pure quantum states with prior probabilities, where the goal is to find a measurement that maximizes the average probability of success. We derive an upper bound on the optimal average probability of success using a result on optimal local conversion between two bipartite pure states. We prove that an optimal measurement in general saturates our bound. In the exceptional cases we show that the bound is tight, but not always optimal.
arXiv comment16 pages. v2: Typos fixed in examples 1 and 2; v3: journal version, abstract slightly modified, partly rewritten for clarity, results unchanged
References in corpus (11)
- Probabilistic cloning and identification of linearly independent quantum states
- Entanglement of pure states for a single copy
- Quantum State Discrimination
- Unambiguous Discrimination Between Linearly-Independent Quantum States
- Optimum Unambiguous Discrimination Between Linearly Independent Symmetric States
- A Semidefinite Programming Approach to Optimal Unambiguous Discrimination of Quantum States
- Optimal distinction between non-orthogonal quantum states
- Optimum unambiguous discrimination among linearly-independent non-orthogonal quantum states and its optical realization
- Optimum Unambiguous Discrimination of Linearly Independent Pure States
- Optimal Unambiguous Discrimination of Quantum States
- Complete solution for unambiguous discrimination of three pure states with real inner products
Cited by in corpus (9)
- Exact Identification of a Quantum Change Point
- Generalized quantum state discrimination problems
- Wave-particle duality relations based on entropic bounds for which-way information
- Finding optimal solutions for generalized quantum state discrimination problems
- Parametrization of quantum states and the quantum state discrimination problem
- Unambiguous discrimination of sequences of quantum states
- Ultimate limits of approximate unambiguous discrimination
- Minimal-error quantum state discrimination versus robustness of entanglement:More indistinguishability with less entanglement
- Unbounded entanglement-sustaining sequential local quantum state discrimination