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Engineering Steady States Using Jump-Based Feedback for Multipartite Entanglement Generation

Robin Stevenson, J. J. Hope, Andre R. R. Carvalho

Published Jan 1, 2011• 1 citation
Publisher

Abstract

We investigate the use of quantum-jump-based feedback to manipulate the stability of multipartite entangled dark states in an open quantum system. We use quantum trajectory methods to show a general strategy to isolate subspaces of entangled states. In the case of four qubits, we propose a simple feedback control that, although not optimal, is realistic and stabilizes a highly entangled state.

DOI
10.1364/iqec.2011.i1020

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We investigate the use of quantum-jump-based feedback to manipulate the stability of multipartite entangled dark states in an open quantum system. We use quantum trajectory methods to show a general strategy to isolate subspaces of entangled states. In the case of four qubits, we propose a simple feedback control that, although not optimal, is realistic and stabilizes a highly entangled state.
We investigate the use of quantum-jump-based feedback to manipulate the stability of multipartite entangled dark states in an open quantum system. Using the model proposed in Phys. Rev. A 76, 010301(R) (2007) for a pair of atoms, we show a general strategy to produce many-body singlet stationary entangled states for larger number of atoms. In the case of four qubits, we propose a simple local feedback control that, although not optimal, is realistic and stabilizes a highly entangled state. We discuss the limitations and analyze alternative strategies within the framework of direct jump feedback schemes.
We describe how feedback methods can be implemented to produce and stabilize entangled states of two atoms inside a cavity. Feedback control is used to engineer an effective environment dynamics, such that the entangled state to be protected is a steady state of the system. The control strategy is therefore robust with respect to external noises and fundamental decoherence sources, as spontaneous emission, for example. We also show that the scheme is mostly insensitive to practical imperfections, as detection inefficiencies and laser fluctuations.
We consider a model consisting of three two-level atoms in a heavily damped cavity. We show that the quantum-jump-based feedback can be used to generate a steady entangled state of three atoms against decoherence. When the feedback acts on just one of the atoms, it can protect a maximally entangled state of other two atoms. When the feedback acts on three atoms, by choosing appropriate parameters we can obtain a decoherence-free subspace spanned by two vectors, and by using quantum trajectory Monte Carlo wave function method we find that the maximally entangled state of three atoms in this decoherence-free subspace can be obtained for some specific initial conditions.
We investigate entanglement dynamics of three driven atoms off-resonantly coupled with a single-mode cavity under quantum-jump-based feedback control. The results demonstrate that the tripartite entanglement can be effectively enhanced and the steady W state and asymmetric W states can be obtained by setting the Rabi frequencies of classical fields and choosing the local quantum feedback control. Furthermore, the tripartite decoherence-free entangled states are found when the atoms are driven by classical fields with appropriate Rabi frequencies. The asymmetric W states and W state can be converted into each other via feedback control. In theory, the multiqubit W state can be generated and stabilized by our approach.