He, Rui New algorithm to calculate the covariance matrix of an arbitrary form of Gaussian state. (English) Zbl 1327.81087 Quantum Inf. Process. 14, No. 10, 3971-3981 (2015). Summary: 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 \({\boldsymbol{\Omega}}\) and covariance matrix \({\mathbf {V}}\) while \({\boldsymbol{\Omega}}\) 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. Cited in 1 Document MSC: 81P45 Quantum information, communication, networks (quantum-theoretic aspects) 81P68 Quantum computation 68Q12 Quantum algorithms and complexity in the theory of computing Keywords:IWOP technique; operator correlation matrix; covariance matrix PDFBibTeX XMLCite \textit{R. He}, Quantum Inf. Process. 14, No. 10, 3971--3981 (2015; Zbl 1327.81087) Full Text: DOI 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, AS; Sohma, M.; Hirota, O., No article title, Phys. Rev. A, 59, 1820 (1999) · doi:10.1103/PhysRevA.59.1820 [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, HY; Zaidi, HR; Klauder, JR, No article title, Phys. Rev. D, 35, 1831 (1987) · doi:10.1103/PhysRevD.35.1831 [9] Fan, HY; Zaidi, HR, No article title, Phys. Rev. A, 37, 2985 (1988) · doi:10.1103/PhysRevA.37.2985 [10] Fan, HY; Vanderlinde, J., No article title, Phys. Rev. A, 39, 2987 (1989) · doi:10.1103/PhysRevA.39.2987 [11] Fan, HY; Zou, H., No article title, Phys. Lett., 252, 281 (1991) · Zbl 1044.81615 · doi:10.1016/S0375-9601(98)00900-1 [12] Fan, HY, No article title, Europhys. Lett., 17, 285 (1992) · doi:10.1209/0295-5075/17/4/001 [13] Xu, XX; Hu, LY; Fan, HY, No article title, Chin. Phys. B, 18, 5139 (2009) · doi:10.1088/1674-1056/18/12/007 [14] Hu, L.Y., Xu, X.X., Guo, Q., Fan, H.Y.: quant-ph/1008.5253v1 (2010) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.