Entanglement and disentanglement in circuit QED architectures

Zueco, David; Reuther, Georg M.; Hänggi, Peter; Kohler, Sigmund

doi:10.1016/j.physe.2009.06.074

Cited by 10 publications

(11 citation statements)

References 34 publications

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“…This time-dependent manipulation allows the optimal control in attaining maximal entangled of distant objects [13]. In addition, Landau-Zener dynamics has been proposed as well for entanglement generation protocols [45,46]. Finally, the implementation of optimal quantum gates was suggested [47].…”

Section: Discussionmentioning

confidence: 99%

Creation and manipulation of entanglement in spin chains far from equilibrium

Galve

Zueco

Reuther

et al. 2009

Eur. Phys. J. Spec. Top.

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We investigate creation, manipulation, and steering of entanglement in spin chains from the viewpoint of quantum communication between distant parties. We demonstrate how global parametric driving of the spin-spin coupling and/or local time-dependent Zeeman fields produce a large amount of entanglement between the first and the last spin of the chain. This occurs whenever the driving frequency meets a resonance condition, identified as "entanglement resonance". Our approach marks a promising step towards an efficient quantum state transfer or teleportation in solid state system. Following the reasoning of Zueco et al.[1], we propose generation and routing of multipartite entangled states by use of symmetric tree-like structures of spin chains. Furthermore, we study the effect of decoherence on the resulting spin entanglement between the corresponding terminal spins. a

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Section: Discussionmentioning

confidence: 99%

Creation and manipulation of entanglement in spin chains far from equilibrium

Galve

Zueco

Reuther

et al. 2009

Eur. Phys. J. Spec. Top.

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“…Substituting ( 39) into ( 34)- (37), and left multiply m, g|, we obtain the recurrence relations for a j,m…”

Section: Solvability Of the Two-qubit Quantum Rabi Model Using Bogoli...mentioning

confidence: 99%

Algebraic structure of the two-qubit quantum Rabi model and its solvability using Bogoliubov operators

Peng

Ren

Yang

et al. 2015

J. Phys. A: Math. Theor.

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Abstract. We have found the algebraic structure of the two-qubit quantum Rabi model behind the possibility of its novel quasi-exact solutions with finite photon numbers by analyzing the Hamiltonian in the photon number space. The quasi-exact eigenstates with at most 1 photon exist in the whole qubit-photon coupling regime with constant eigenenergy equal to single photon energy ω, which can be clear demonstrated from the Hamiltonian structure. With similar method, we find these special "dark states"-like eigenstates commonly exist for the two-qubit Jaynes-Cummings model, with E = N ω (N = −1, 0, 1, . . .), and one of them is also the eigenstate of the two-qubit quantum Rabi model, which may provide some interesting application in a simper way. Besides, using Bogoliubov operators, we analytically retrieve the solution of the general two-qubit quantum Rabi model. In this more concise and physical way, without using Bargmann space, we clearly see how the eigenvalues of the infinite-dimensional two-qubit quantum Rabi Hamiltonian are determined by convergent power series, so that the solution can reach arbitrary accuracy reasonably because of the convergence property.2

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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%

“…3(b), which depicts the time-averaged trace distance, computed with Eq. (27) as a function of the driving frequency for various driving amplitudes. For intermediate amplitudes, we find roughly D ∝ A/ , unless A is very small, which agrees with relation (26).…”

Section: Monitoring Landau-zener Sweepsmentioning

confidence: 99%

“…As an example, we consider a Landau-Zener tunneling process between the states of a charge qubit prepared in a Cooper-pair box (CPB), 24,25 a paradigmatic example of complex quantum dynamics in a seemingly simple system. 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%

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Monitoring entanglement evolution and collective quantum dynamics

Reuther¹,

Zueco²,

Hänggi³

et al. 2011

Phys. Rev. B

Self Cite

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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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Entanglement and disentanglement in circuit QED architectures

Cited by 10 publications

References 34 publications

Creation and manipulation of entanglement in spin chains far from equilibrium

Creation and manipulation of entanglement in spin chains far from equilibrium

Algebraic structure of the two-qubit quantum Rabi model and its solvability using Bogoliubov operators

Monitoring entanglement evolution and collective quantum dynamics

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