Bipartite quantum state discrimination and decomposable entanglement witness
arXiv:2212.10799 · doi:10.1103/PhysRevA.107.052410
Abstract
We consider bipartite quantum state discrimination using positive-partial-transpose measurements and show that minimum-error discrimination by positive-partial-transpose measurements is closely related to entanglement witness. By using the concept of decomposable entanglement witness, we establish conditions on minimum-error discrimination by positive-partial-transpose measurements. We also provide conditions on the upper bound of the maximum success probability over all possible positive-partial-transpose measurements. Finally, we illustrate our results using examples of multidimensional bipartite quantum states.
14 pages, 1 figure
References in corpus (6)
- Entanglement detection
- Quantum state discrimination and its applications
- On the conditions for discrimination between quantum states with minimum error
- Entanglement cost of discriminating noisy Bell states by local operations and classical communication
- Local approximation for perfect discrimination of quantum states
- Bound on optimal local discrimination of multipartite quantum states