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A method of estimating the eigenstates of density operator

  • Computer Science
  • Published:
Wuhan University Journal of Natural Sciences

Abstract

We describe a mathematical structure which corresponds to the eigenstates of a density operator. For an unknown density operator, we propose an estimating procedure which uses successive “yes/no” measurements to scan the Bloch sphere and approximately yields the eigenstates. This result is based on the quantum method of types and implies a relationship between the typical subspace and the Young frame.

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Authors and Affiliations

  1. State Key Laboratory of Integrated Services Networks, Xidian University, Xi’an, Shaanxi, 710071, China

    Gao Jingliang

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  1. Gao Jingliang
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Correspondence to Gao Jingliang.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China(61271174, 61372076, 61301178)

Biography: GAO Jingliang , male, Ph.D. candidate, research direction: quantum information theory, quantum cryptography.

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Jingliang, G. A method of estimating the eigenstates of density operator. Wuhan Univ. J. Nat. Sci. 20, 386–390 (2015). https://doi.org/10.1007/s11859-015-1110-0

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  • DOI: https://doi.org/10.1007/s11859-015-1110-0

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