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New algorithm to calculate the covariance matrix of an arbitrary form of Gaussian state

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Abstract

A new algorithm is put forward to calculate the covariance matrix of an arbitrary form of Gaussian state. Through this algorithm, we find the correlation between operator correlation matrix \({\varvec{\Omega }}\) and covariance matrix \({\mathbf {V}}\) while \({\varvec{\Omega }}\) can be provided by using IWOP technique in general. As an application of the algorithm, we give the covariance matrix of n-mode squeezed state successfully.

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References

  1. Kim, M.S., Lee, J., Munro, W.J.: Phys. Rev. A 66, 030301(R) (2002)

  2. Cerf, N., Leuchs, G., Polzik, E.S. (eds.): Quantum Information with Continuous Variable Quantum Informations. Napoli, Bibliopolis (2005)

  3. Holevo, A.S.: IEEE Transactions on Information Theory. chapter 5 North-Holland (1982)

  4. Holevo, A.S., Sohma, M., Hirota, O.: Phys. Rev. A 59, 1820 (1999)

    Article  ADS  Google Scholar 

  5. Ferraro, A., Olivares, S., Paris, M.G.A.: quant-ph/0503237v1 (2005)

  6. Adesso, G., Ragy, S., Lee, A.R.: quant-ph/1401.4679v3 (2014)

  7. Fan, H.Y.: Recent development of Dirac’s representation theory. In: Feng, D.H., Klauder, J.R., Strayer, M.R. (eds.) Coherent states, p. 153. Academic Press, New York (1994)

  8. Fan, H.Y., Zaidi, H.R., Klauder, J.R.: Phys. Rev. D 35, 1831 (1987)

    Article  MathSciNet  ADS  Google Scholar 

  9. Fan, H.Y., Zaidi, H.R.: Phys. Rev. A 37, 2985 (1988)

    Article  ADS  Google Scholar 

  10. Fan, H.Y., Vanderlinde, J.: Phys. Rev. A 39, 2987 (1989)

    Article  MathSciNet  ADS  Google Scholar 

  11. Fan, H.Y., Zou, H.: Phys. Lett. 252, 281 (1991)

    Article  MathSciNet  Google Scholar 

  12. Fan, H.Y.: Europhys. Lett. 17, 285 (1992)

    Article  MathSciNet  Google Scholar 

  13. Xu, X.X., Hu, L.Y., Fan, H.Y.: Chin. Phys. B 18, 5139 (2009)

    Article  ADS  Google Scholar 

  14. Hu, L.Y., Xu, X.X., Guo, Q., Fan, H.Y.: quant-ph/1008.5253v1 (2010)

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  1. College of Material and Chemical Engineering, West Anhui University, Luan, 237012, Anhui, People’s Republic of China

    Rui He

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  1. Rui He
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He, R. New algorithm to calculate the covariance matrix of an arbitrary form of Gaussian state. Quantum Inf Process 14, 3971–3981 (2015). https://doi.org/10.1007/s11128-015-1086-x

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  • DOI: https://doi.org/10.1007/s11128-015-1086-x

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