No-Signalling Bound on Quantum State Discrimination
arXiv:0708.3909 · doi:10.1103/PhysRevA.77.012113
Abstract
Quantum correlations do not allow signalling, and any operation which may be performed on one system of an entangled pair cannot be detected by measurement of the other system alone. This no-signalling condition limits allowed operations and, in the context of quantum communication, may be used to put bounds on quantum state discrimination. We find that the natural figure of merit to consider is the confidence in identifying a state, which is optimised by the maximum confidence strategy. We show that this strategy may be derived from the no-signalling condition, and demonstrate the relationship between maximum confidence measurements and entanglement concentration.
4 pages
References in corpus (9)
- No Signalling and Quantum Key Distribution
- Research on Hidden Variable Theories: a review of recent progresses
- General properties of Nonsignaling Theories
- Unambiguous Discrimination Between Linearly-Independent Quantum States
- Quantum cloning without signaling
- Maximum Confidence Quantum Measurements
- Experimental Realization of Maximum Confidence State Discrimination for the Extraction of Quantum Information
- Helstrom Theorem by No-Signaling Condition
- Optimal Cloning and No Signaling
Cited by in corpus (16)
- Optimal State Discrimination in General Probabilistic Theories
- Machine learning \& artificial intelligence in the quantum domain
- Experimental Multi-Party Sequential State Discrimination
- Imperfect 1-out-of-2 quantum oblivious transfer: bounds, a protocol, and its experimental implementation
- Discrimination of two mixed quantum states with maximum confidence and minimum probability of inconclusive results
- Maximum-confidence discrimination among symmetric qudit states
- Quantum teleportation via maximum-confidence quantum measurements
- Minimum-error multiple state discrimination constrained by the no-signaling principle
- Optimized maximum-confidence discrimination of N mixed quantum states and application to symmetric states
- Searching for interstellar quantum communications
- Optimality of minimum-error discrimination by the no-signalling condition
- Quantum measurements of atoms using cavity QED
- Optimal Quantum State Estimation with Use of the No-Signaling Principle
- Effects of underlying topology on quantum state discrimination
- Operational nonlocality
- Quantum state discrimination