Pure Gaussian state generation via dissipation: A quantum stochastic differential equation approach

Abstract

Recently the complete characterization of a general Gaussian dissipative system having a unique pure steady state was obtained in [Koga and Yamamoto 2012, Phys. Rev. A 85, 022103]. This result provides a clear guideline for engineering an environment such that the dissipative system has a desired pure steady state such as a cluster state. In this paper, we describe the system in terms of a quantum stochastic differential equation (QSDE) so that the environment channels can be explicitly dealt with. Then a physical meaning of that characterization, which cannot be seen without the QSDE representation, is clarified; more specifically, the nullifier dynamics of any Gaussian system generating a unique pure steady state is passive. In addition, again based on the QSDE framework, we provide a general and practical method to implement a desired dissipative Gaussian system, which has a structure of quantum state transfer.

15 pages in the single column format, to appear in Phil. Trans. Roy. Soc. A

References in corpus (10)

• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Universal Quantum Computation with Continuous-Variable Cluster States
• Experimental demonstration of quantum memory for light
• Building Gaussian Cluster States by Linear Optics
• Graphical calculus for Gaussian pure states
• Linear Quantum Feedback Networks
• Ultracompact Generation of Continuous-Variable Cluster States
• Stabilizing Entangled States with Quasi-Local Quantum Dynamical Semigroups
• Generation of pure continuous-variable entangled cluster states of four separate atomic ensembles in a ring cavity
• Parametrization of the feedback Hamiltonian realizing a pure steady state

Cited by in corpus (13)

• Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems
• Stabilizing Entangled States with Quasi-Local Quantum Dynamical Semigroups
• System identification for passive linear quantum systems
• Deterministic generation of Gaussian pure state in quasi-local dissipative system
• Cool for Cats
• 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
• Preparation of Pure Gaussian States via Cascaded Quantum Systems
• Linear quantum systems with diagonal passive Hamiltonian and a single dissipative channel
• Stabilizable Gaussian states
• A Derivation of Moment Evolution Equations for Linear Open Quantum Systems
• 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