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New algorithm to calculate the covariance matrix of an arbitrary form of Gaussian state. (English) Zbl 1327.81087

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.

MSC:

81P45 Quantum information, communication, networks (quantum-theoretic aspects)
81P68 Quantum computation
68Q12 Quantum algorithms and complexity in the theory of computing
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References:

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