Minimum-error discrimination between a pure and a mixed two-qubit state
arXiv:quant-ph/0307038 · doi:10.1088/1464-4266/6/3/005
Abstract
The problem of discriminating with minimum error between two mixed quantum states is reviewed, with emphasize on the detection operators necessary for performing the measurement. An analytical result is derived for the minimum probability of errors in deciding whether the state of a quantum system is either a given pure state or a uniform statistical mixture of any number of mutually orthogonal states. The result is applied to two-qubit states, and the minimum error probabilities achievable by collective and local measurements on the qubits are compared.
6 pages, contribution to the 10th CEWQO, submitted to J. Opt. B
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- Detecting magnetic fields using Nitrogen-Vacancy Centers
- Finding optimal solutions for generalized quantum state discrimination problems
- Interaction-free measurement study as a quantum channel discrimination problem
- Contextuality witness inspired by optimal state discrimination
- Complete analysis to minimum-error discrimination of mixed four qubit states with arbitrary prior probabilities