Controlling entanglement by direct quantum feedback

Carvalho, André; Reid, Andrew; Hope, Joseph

doi:10.1103/physreva.78.012334

Cited by 130 publications

(114 citation statements)

References 52 publications

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“…Various ideas along these lines have been proposed in several articles [6][7][8][9][10][11]. There are two major sources of dissipative terms in the Lindblad equation: the interaction of the system with its environment, and measurements we choose to perform on the system.…”

Section: Introductionmentioning

confidence: 99%

“…This idea was first proposed in [11], where a feedback-modified master equation was derived and it was shown in [6] that such direct feedback could be used to stabilize arbitrary single qubit states with respect to a rotating frame. More recently, there have been several attempts to extend this work to stabilize maximally entangled states using direct feedback [6][7][8][9][10]. The idea of reservoir engineering can also be used to stabilize the system in the decoherence-free subspace (DFS) [13].…”

Section: Introductionmentioning

confidence: 99%

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Stabilizing open quantum systems by Markovian reservoir engineering

2010

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We study open quantum systems whose evolution is governed by a master equation of Kossakowski-Gorini-Sudarshan-Lindblad type and give a characterization of the convex set of steady states of such systems based on the generalized Bloch representation. It is shown that an isolated steady state of the Bloch equation cannot be a center, i.e., that the existence of a unique steady state implies attractivity and global asymptotic stability. Necessary and sufficient conditions for the existence of a unique steady state are derived and applied to different physical models including two-and four-level atoms, (truncated) harmonic oscillators, and composite and decomposable systems. It is shown how these criteria could be exploited in principle for quantum reservoir engineeing via coherent control and direct feedback to stabilize the system to a desired steady state. We also discuss the question of limit points of the dynamics. Despite the non-existence of isolated centers, open quantum systems can have nontrivial invariant sets. These invariant sets are center manifolds that arise when the Bloch superoperator has purely imaginary eigenvalues and are closely related to decoherence-free subspaces.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stabilizing open quantum systems by Markovian reservoir engineering

2010

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“…On the theoretical side, it is worth noting that schemes to achieve and preserve highly entangled steady states between internal atomic degrees of freedom, analogous to those discussed for continuous variables in Section 2, have been proposed, analysed, and extended to multipartite setups in [128][129][130].…”

Section: State Control By Measurement-based Feedback In the Deep Quanmentioning

confidence: 99%

Feedback Control in Quantum Optics: An Overview of Experimental Breakthroughs and Areas of Application

Serafini

2012

ISRN Optics

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We present a broad summary of research involving the application of quantum feedback control techniques to optical setups, from the early enhancement of optical amplitude squeezing to the recent stabilisation of photon number states in a microwave cavity, dwelling mostly on the latest experimental advances. Feedback control of quantum optical continuous variables, quantum nondemolition memories, feedback cooling, quantum state control, adaptive quantum measurements, and coherent feedback strategies will all be touched upon in our discussion.

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“…Therefore combined with cavity quantum electrodynamics, the ground-state blockade will provides a novel approach to quantum state preparation, especially for the cavity-loss-induced generation of entangled atoms [41][42][43]. In this section, we consider an atom-cavity interaction system, as depicted in Fig.…”

Section: Steady Entanglement Via Quantum-jump-based Feedback Controlmentioning

confidence: 99%

Ground-state blockade of Rydberg atoms and application in entanglement generation

Shao

et al. 2017

Phys. Rev. A

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We propose a mechanism of ground-state blockade between two N -type Rydberg atoms in virtue of Rydbergantiblockade effect and Raman transition. Inspired by the quantum Zeno effect, the strong Rydberg antiblockade interaction plays a role in frequently measuring one ground state of two, leading to a blockade effect for double occupation of the corresponding quantum state. By encoding the logic qubits into the ground states, we efficiently avoid the spontaneous emission of the excited Rydberg state, and maintain the nonlinear RydbergRydberg interaction at the same time. As applications, we discuss in detail the feasibility of preparing two-atom and three-atom entanglement with ground-state blockade in closed system and open system, respectively, which shows that a high fidelity of entangled state can be obtained with current experimental parameters.

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Controlling entanglement by direct quantum feedback

Cited by 130 publications

References 52 publications

Stabilizing open quantum systems by Markovian reservoir engineering

Stabilizing open quantum systems by Markovian reservoir engineering

Feedback Control in Quantum Optics: An Overview of Experimental Breakthroughs and Areas of Application

Ground-state blockade of Rydberg atoms and application in entanglement generation

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