Cascade and locally dissipative realizations of linear quantum systems for pure Gaussian state covariance assignment
arXiv:1604.03182 · doi:10.1016/j.automatica.2017.12.061
Abstract
This paper presents two realizations of linear quantum systems for covariance assignment corresponding to pure Gaussian states. The first one is called a cascade realization; given any covariance matrix corresponding to a pure Gaussian state, we can construct a cascaded quantum system generating that state. The second one is called a locally dissipative realization; given a covariance matrix corresponding to a pure Gaussian state, if it satisfies certain conditions, we can construct a linear quantum system that has only local interactions with its environment and achieves the assigned covariance matrix. Both realizations are illustrated by examples from quantum optics.
This article is an extension of the conference paper arXiv:1408.2290 by S. Ma, M. J. Woolley, I. R. Petersen and N. Yamamoto
References in corpus (10)
- Universal Quantum Computation with Continuous-Variable Cluster States
- Quantum metrology from a quantum information science perspective
- Entangled massive mechanical oscillators
- Two-mode squeezed states in cavity optomechanics via engineering of a single reservoir
- Graphical calculus for Gaussian pure states
- On synthesis of linear quantum stochastic systems by pure cascading
- Generic Entanglement and Standard Form for N-mode Pure Gaussian States
- Deterministic generation of Gaussian pure state in quasi-local dissipative system
- Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process
- Stationary and uniform entanglement distribution in qubit networks with quasi-local dissipation
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