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Peres-Wootters Measurement for Three Nonorthogonal States

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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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References

  1. Hausladen, P., Wootters, W.K.: A ‘pretty good’ measurement for distinguishing quantum states. J. Mod. Opt. 41, 2385 (1994)

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Authors and Affiliations

  1. Department of Mathematics, Yonsei University, Seoul, 120-749, Korea

    Hyunmin Jeong

  2. Department of Mathematics and Research Institute for Basic Sciences, Kyung Hee University, Seoul, 130-701, Korea

    Hyunmin Jeong, Soojoon Lee, Yonghae Lee & Hyeona Lim

  3. Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS, 39762-5921, USA

    Hyeona Lim

Authors
  1. Hyunmin Jeong
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  2. Soojoon Lee
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  3. Yonghae Lee
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  4. Hyeona Lim
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Correspondence to Soojoon Lee.

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Jeong, H., Lee, S., Lee, Y. et al. Peres-Wootters Measurement for Three Nonorthogonal States. Int J Theor Phys 53, 807–814 (2014). https://doi.org/10.1007/s10773-013-1869-8

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  • DOI: https://doi.org/10.1007/s10773-013-1869-8

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