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The Local Unitary Equivalence of Multipartite Pure States

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Abstract

In this paper, we give a method for the local unitary equivalent problem which is more efficient than that was proposed by Bin Liu et al [7].

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References

  1. Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Rev. Mod. Phys 81, 865 (2009)

    Article  ADS  Google Scholar 

  2. Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press (2004)

  3. Horodecki, M.: Quant. Inf. Comput 1, 3 (2001)

    MathSciNet  Google Scholar 

  4. Makhlin, Y.: Quantum Information Processing. Springer (2002)

  5. Kraus, B.: Rev, Phys.Lett. 104, 020504 (2010)

    Article  Google Scholar 

  6. Kraus, B.: Phys. Rev. A 82, 032121 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  7. Liu, B., Li, J.L., Li, X., Qiao, C.F.: Phys. Rev. Lett 108, 050501 (2012)

    Article  ADS  Google Scholar 

  8. Li, J.-L., Qiao, C.-F.: arxiv:hep-th/1111.4379 (2011)

  9. Zhou, C., Zhang, T.G., Fei, S.M., Jing, N., Li-Jost, X.: Vol. 86, (2012)

  10. Zhang, T.G., Zhao, M.J., Li-Jost, X., Fei, S.M.: Int. J. Theor. Phys. 52, 3020 (2013)

    Article  Google Scholar 

  11. Sawicki, A., kus, M.: arxiv:hep-th/1009.0293v1 (2010)

  12. Benner, J.: The Problem of Unitary Equivalence. Acta Math 86, 297–308 (1951)

    Article  MathSciNet  Google Scholar 

  13. Littlewood, D.E.: On Unitary Equivalence. J.London. Math. Soc. 28, 314–322 (1953)

    Article  MATH  MathSciNet  Google Scholar 

  14. Haydar Radjavi: On Unitary Equivalence of Arbitrary Matrices. Trans. Am. Math. Soc. 104(2), 363–373 (1962)

    Article  MathSciNet  Google Scholar 

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Acknowledgments

We would like to thank Xuena Zhu and Pengfei Guo for helpful discussions. We are very grateful to the referee for carefully reading and helpful comments.

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Correspondence to Mao-Sheng Li.

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Wang, YL., Li, MS., Fei, SM. et al. The Local Unitary Equivalence of Multipartite Pure States. Int J Theor Phys 54, 425–434 (2015). https://doi.org/10.1007/s10773-014-2236-0

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  • DOI: https://doi.org/10.1007/s10773-014-2236-0

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