Preparation of Pure Gaussian States via Cascaded Quantum Systems

Abstract

This paper provides an alternative approach to the problem of preparing pure Gaussian states in a linear quantum system. It is shown that any pure Gaussian state can be generated by a cascade of one-dimensional open quantum harmonic oscillators, without any direct interaction Hamiltonians between these oscillators. This is physically advantageous from an experimental point of view. An example on the preparation of two-mode squeezed states is given to illustrate the theory.

A version of this paper will appear in the Proceedings of the 2014 IEEE Multi-conference on Systems and Control

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Cited by in corpus (9)

• 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
• Linear quantum systems with diagonal passive Hamiltonian and a single dissipative channel
• A Derivation of Moment Evolution Equations for Linear Open Quantum Systems
• Evolution of quasi-characteristic functions in quantum stochastic systems with Weyl quantization of energy operators
• A Realization Method for Transfer Functions of Linear Quantum Stochastic Systems Using Static Networks for Input/Output Processing and Feedback
• Pure Gaussian quantum states from passive Hamiltonians and an active local dissipative process
• Invariant states of linear quantum stochastic systems under Weyl perturbations of the Hamiltonian and coupling operators
• Stabilizing Preparation of Quantum Gaussian States via Continuous Measurement