Physics – Quantum Physics
Scientific paper
2004-10-14
Phys. Rev. A 71, 032336 (2005)
Physics
Quantum Physics
6 pages, 4 figures, published version with a detailed discussion
Scientific paper
10.1103/PhysRevA.71.032336
It is known that the quantum fidelity, as a measure of the closeness of two quantum states, is operationally equivalent to the minimal overlap of the probability distributions of the two states over all possible POVMs; the POVM realizing the minimum is optimal. We consider the ability of homodyne detection to distinguish two single-mode Gaussian states, and investigate to what extent it is optimal in this information-theoretic sense. We completely identify the conditions under which homodyne detection makes an optimal distinction between two single-mode Gaussian states of the same mean, and show that if the Gaussian states are pure, they are always optimally distinguished.
Carmichael H. J.
Nha Hyunchul
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