Linear quantum systems with diagonal passive Hamiltonian and a single dissipative channel

Abstract

Given any covariance matrix corresponding to a so-called pure Gaussian state, a linear quantum system can be designed to achieve the assigned covariance matrix. In most cases, however, one might obtain a system that is difficult to realize in practice. In this paper, we restrict our attention to a special class of linear quantum systems, i.e., systems with diagonal passive Hamiltonian and a single dissipative channel. The practical implementation of such a system would be relatively simple. We then parametrize the class of pure Gaussian state covariance matrices that can be achieved by this particular type of linear quantum system.

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Cited by in corpus (5)

• The SLH framework for modeling quantum input-output networks
• Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process
• Cascade and locally dissipative realizations of linear quantum systems for pure Gaussian state covariance assignment
• A Derivation of Moment Evolution Equations for Linear Open Quantum Systems
• Pure Gaussian quantum states from passive Hamiltonians and an active local dissipative process