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Nondestructive Estimation of the Eigenvectors of Mixed State

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Abstract

Given n qubits prepared according to the same mixed state ρ, we propose a measuring scheme which approximately yields the eigenvectors of ρ. By performing a sequence of measurements, we can scan the Bloch sphere like radar to search for the eigenvectors. It is shown that this scheme is nondestructive when n is large. This result is based on the quantum typical subspace theory and it actually reveals an interesting mathematical structure of the n-fold Hilbert space.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China under Grants No.61271174, No.61372076, No.61301178, No.61301172 and No.61502376 and the 111 Program of China under Grant No. B08038.

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Authors and Affiliations

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

    Jingliang Gao

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  1. Jingliang Gao
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Correspondence to Jingliang Gao.

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Gao, J. Nondestructive Estimation of the Eigenvectors of Mixed State. Int J Theor Phys 56, 617–623 (2017). https://doi.org/10.1007/s10773-016-3203-8

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  • DOI: https://doi.org/10.1007/s10773-016-3203-8

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