Optimal unambiguous discrimination of two finite-dimensional coherent states. (English) Zbl 1170.81337
Summary: An exact analytical solution to the optimal unambiguous state discrimination involving two finite-dimensional coherent states that occur with given prior probabilities is presented using the Lewenstein-Sanpera decomposition method. Furthermore, a numerical method is advised for efficient solving of the unambiguous state discrimination of the two finite-dimensional coherent states with the same dimensions. In this manner, it is shown that the maximum success rate for the unambiguous states discrimination of the two finite-dimensional coherent states with the arbitrary prior probability is decreased by increasing the dimensionality of the finite-dimensional coherent states. Also, the success rate for the unambiguous states discrimination of the two coherent states satisfies the upper bound proportional to the fidelity of the states for a given prior probability.
MSC:
| 81P68 | Quantum computation |
| 81R30 | Coherent states |
| 81P15 | Quantum measurement theory, state operations, state preparations |
Keywords:
optimal unambiguous discrimination; finite-dimensional coherent states; Lewenstein-Sanpera decompositionReferences:
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