Engineering an interaction and entanglement between distant atoms

Mancini, Stefano; Bose, Sougato

doi:10.1103/physreva.70.022307

Cited by 79 publications

(75 citation statements)

References 30 publications

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“…This model might describe an electron spin weakly coupled to stable a nuclear spin. The same model was derived for two atoms in separate cavities connected by optical fibers (Fig 5) in the large-detuning regime [30,31]. In the latter case we could achieve γ 2 γ 1 by choosing different Q factors for the two cavities so that on certain time scale that one atom experiences spontaneous decay while the other does not.…”

Section: Invariant Set Of Dynamics Decoherence-free Subspacesmentioning

confidence: 96%

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: Invariant Set Of Dynamics Decoherence-free Subspacesmentioning

confidence: 96%

Stabilizing open quantum systems by Markovian reservoir engineering

2010

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“…Then, in the short fiber limit (2Lν)/(2πc) ≪ 1, where L is the length of fiber andν is the decay rate of the cavity field into a continuum of fiber modes, only the resonant mode of the fiber will interact with the cavity modes. For this case, the interaction Hamiltonian of cavity-fiber can be written as [53] …”

Section: (B)mentioning

confidence: 99%

“…On the other hand, it has been shown that entanglement and QST between spatially separated quantum nodes is very useful for distributed quantum computation [53] and quantum network [54,55]. In recent years, a large number of schemes have been proposed for generating entanglement and QST between spatially separated atoms, which are individually trapped into distant optical cavities connected by fibers (i.e., cavity-fiber-cavity system) [56][57][58][59][60][61].…”

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confidence: 99%

Voltage-controlled entanglement and quantum-information transfer between spatially separated quantum-dot molecules

Lü

Zheng

et al. 2011

Phys. Rev. A

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We propose two schemes for generating entanglement and quantum state transfer (QST) between two spatially separated semiconductor quantum dot molecules (QDMs) based on the voltagecontrolled tunneling effects. In the present schemes, two QDMs are trapped into two spatially separated cavities connected by a fiber, respectively. By numerically simulating the evolution of system, we show that the generation of entanglement and QST can be controlled by an external gate voltage in our schemes. Moreover, proposed schemes are robust against noise of system parameters.

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“…The coupled electron spins of the neighboring phosphorus atoms serve as the static "quantum bus" which transfers the interaction between nearestneighbor and distant nuclear spins in a chain with more than two phosphorus atoms. In a similar technique "flying" qubits represented by photons has been proposed to mediate the qubit-qubit interaction between trapped ions [11,12,13,14,15,16,17].…”

Section: Hamiltonianmentioning

confidence: 99%

Influence of qubit displacements on quantum logic operations in a silicon-based quantum computer with constant interaction

2006

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The errors caused by qubit displacements from their prescribed locations in an ensemble of spin chains are estimated analytically and calculated numerically for a quantum computer based on phosphorus donors in silicon. We show that it is possible to polarize (initialize) the nuclear spins even with displaced qubits by using Controlled NOT gates between the electron and nuclear spins of the same phosphorus atom. However, a Controlled NOT gate between the displaced electron spins is implemented with large error because of the exponential dependence of exchange interaction constant on the distance between the qubits. If quantum computation is implemented on an ensemble of many spin chains, the errors can be small if the number of chains with displaced qubits is small.

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Engineering an interaction and entanglement between distant atoms

Cited by 79 publications

References 30 publications

Stabilizing open quantum systems by Markovian reservoir engineering

Stabilizing open quantum systems by Markovian reservoir engineering

Voltage-controlled entanglement and quantum-information transfer between spatially separated quantum-dot molecules

Influence of qubit displacements on quantum logic operations in a silicon-based quantum computer with constant interaction

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