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Peres-Wootters Measurement for Three Nonorthogonal States |
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| Authors: | Hyunmin Jeong Soojoon Lee Yonghae Lee Hyeona Lim |
| Institution: | 1. Department of Mathematics, Yonsei University, Seoul, 120-749, Korea 2. Department of Mathematics and Research Institute for Basic Sciences, Kyung Hee University, Seoul, 130-701, Korea 3. Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS, 39762-5921, USA |
| Abstract: | We consider the Peres-Wootters measurement for three nonorthogonal states, |0〉, cosθ|0〉+sinθ|1〉, and cosθ|0〉?sinθ|1〉 (0<θ<π/2). We calculate probabilities to obtain the correct outcomes by the method and compare them to probabilities by the general orthogonal measurements. We show that θ=π/3 if and only if the Peres-Wootters measurement is optimal. We also present numerically that the optimal orthogonal measurement is better than the Peres-Wootters measurement for several cases when θ≠π/3. |
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