Entanglement creation in circuit QED via Landau–Zener sweeps

Wubs, Martijn; Kohler, Sigmund; Hänggi, Peter

doi:10.1016/j.physe.2007.05.014

Cited by 33 publications

(35 citation statements)

References 53 publications

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“…In particular, it can be used for state preparation 26,27 and entanglement generation 28,29 in a qubit-resonator system. In recent experiments 30,31 multiple Landau-Zener sweeps were performed with a charge qubit coupled to a low-frequency tank oscillator whose resonance frequency depends on the time-averaged qubit state.…”

Section: Monitoring Landau-zener Sweepsmentioning

confidence: 99%

Monitoring entanglement evolution and collective quantum dynamics

Reuther¹,

Zueco²,

Hänggi³

et al. 2011

Phys. Rev. B

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We generalize a recently developed scheme for monitoring coherent quantum dynamics with good time resolution and low backaction [Reuther et al., Phys. Rev. Lett. 102, 033602 (2009)] to the case of more complex quantum dynamics of one or several qubits. The underlying idea is to measure with lock-in techniques the response of the quantum system to a high-frequency ac field. We demonstrate that this scheme also allows one to observe quantum dynamics with many frequency scales, such as that of a qubit undergoing Landau-Zener transitions. Moreover, we propose how to measure the entanglement between two qubits as well as the collective dynamics of qubit arrays.

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Section: Monitoring Landau-zener Sweepsmentioning

confidence: 99%

Monitoring entanglement evolution and collective quantum dynamics

Reuther¹,

Zueco²,

Hänggi³

et al. 2011

Phys. Rev. B

Self Cite

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“…Neglecting two higher order derivative terms in the exact equation for the molecular state probability (2), we define the nonlinear limit equation (5) in which we introduce an adjustable parameter A . We explicitly solve the limit equation (5) and further determine A from the condition of minimization of the remainder (19). Note that the obtained value of depends on .…”

Section: Mathematical Treatmentmentioning

confidence: 99%

“…The LZ model serves as a prototype of all level-crossing models; hence, deep understanding of the LZ model will be an essential step towards intuitive perception of all level-crossing processes in general. Consequently, the LZ transition has found wide applications in many branches of physics, such as quantum control and quantum information [2][3][4][5][6], quantum dots [7] and molecular clusters [8], to name a few.…”

Section: Introductionmentioning

confidence: 99%

Quadratic-nonlinear Landau-Zener transition for association of an atomic Bose-Einstein condensate with inter-particle elastic interactions included

et al. 2009

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We study the strong coupling limit of a quadratic-nonlinear Landau-Zener problem for coherent photo-and magneto-association of cold atoms taking into account the atomatom, atom-molecule, and molecule-molecule elastic scattering. Using an exact third-order nonlinear differential equation for the molecular state probability, we develop a variational approach which enables us to construct a highly accurate and simple analytic approximation describing the time dynamics of the coupled atom-molecule system. We show that the approximation describing time evolution of the molecular state probability can be written as a sum of two distinct terms; the first one, being a solution to a limit first-order nonlinear equation, effectively describes the process of the molecule formation while the second one, being a scaled solution to the linear Landau-Zener problem (but now with negative effective Landau-Zener parameter as long as the strong coupling regime is considered), corresponds to the remaining oscillations which come up when the process of molecule formation is over.

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“…This situation may typically occur for circuit-quantum electrodynamics (circuit-QED); see in Refs. [13,26]. Put differently, let in Eq.…”

Section: Entanglement Swapping In Environments Producing Pure Dephasingmentioning

confidence: 99%

Entanglement swapping in presence of dephasing

Dajka

Łuczka

Hänggi

2009

Physica Status Solidi (b)

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Entanglement which originates from a pair of non‐interacting qubits by means of entanglement swapping is discussed when dephasing mechanisms are present. Then, the exact reduced dynamics can be evaluated for two pairs of independent qubits which each are coupled to their own bosonic environment. Each of two pairs of qubits is initially maximally entangled. The conditions for the entanglement survival at asymptotic long times in terms of environment spectral properties are elaborated. It is shown that these conditions hold true also for the inter–pair entanglement stemming. Entanglement swapping can effectively been controlled by a proper choice of initial state of the finite environment (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Entanglement creation in circuit QED via Landau–Zener sweeps

Cited by 33 publications

References 53 publications

Monitoring entanglement evolution and collective quantum dynamics

Monitoring entanglement evolution and collective quantum dynamics

Quadratic-nonlinear Landau-Zener transition for association of an atomic Bose-Einstein condensate with inter-particle elastic interactions included

Entanglement swapping in presence of dephasing

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