Storing quantum states in bosonic dissipative networks

Ponte, M. A. de; Mizrahi, S. S.; Moussa, M. H. Y.

doi:10.1088/0953-4075/41/21/215506

Cited by 3 publications

(4 citation statements)

References 42 publications

(79 reference statements)

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“…where ρ 1 (0) and ρ N (t) stand for the reduced density operators of the sender (at t = 0) and the receiver (at t), respectively. Evidently, to obtain t ex from equation (17), we must take into account the set of parameters {ω m } and {λ mn } ensuring PST, derived from the commutation relation (13) under the condition of the reduction of the matrix (t) to (t ex ).…”

Section: An Alternative Way To Compute T Exmentioning

confidence: 99%

“…As N increases, we find that an involved dependence of the second-order correction O(μ 2 ) on N begins to play a significant role. Although the task of identifying this dependence is still a compelling challenge, in the present paper we analyse QPST numerically for large values of N, using expression (17) to obtain the fidelity of the transfer process.…”

Section: Nonideal Linear Network Of N = 3 5 and 6 Oscillatorsmentioning

confidence: 99%

“…Within such a general treatment of dissipation, the emergence of relaxation-and decoherence-free subspaces in networks of weakly and strongly coupled resonators has also been addressed [15]. We finally mention the proposition of a quantum memory for the preservation of superposition states against decoherence by their evolution in appropriate topologies of such dissipative bosonic networks [16].…”

Section: Introductionmentioning

confidence: 99%

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Quasi-perfect state transfer in a bosonic dissipative network

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Ponte

Moussa

et al. 2010

J. Phys. B: At. Mol. Opt. Phys.

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In this paper we propose a scheme for quasi-perfect state transfer in a network of dissipative harmonic oscillators. We consider ideal sender and receiver oscillators connected by a chain of nonideal transmitter oscillators coupled by nearest-neighbor resonances. From the algebraic properties of the dynamical quantities describing the evolution of the network state, we derive a criterion, fixing the coupling strengths between all the oscillators, apart from their natural frequencies, enabling perfect state transfer in the particular case of ideal transmitter oscillators. Our criterion provides an easily manipulated formula enabling perfect state transfer in the special case where the network nonidealities are disregarded. By adjusting the common frequency of the sender and the receiver oscillators to be out of resonance with that of the transmitters, we demonstrate that the sender's state tunnels to the receiver oscillator by virtually exciting the nonideal transmitter chain. This virtual process makes negligible the decay rate associated with the transmitter line on the expenses of delaying the time interval for the state transfer process. Apart from our analytical results, numerical computations are presented to illustrate our protocol.

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Section: An Alternative Way To Compute T Exmentioning

confidence: 99%

Section: Nonideal Linear Network Of N = 3 5 and 6 Oscillatorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quasi-perfect state transfer in a bosonic dissipative network

Cacheffo

Ponte

Moussa

et al. 2010

J. Phys. B: At. Mol. Opt. Phys.

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“…We have presented a general treatment of coupled dissipative quantum harmonic oscillators for an arbitrary topology of the network; that is, irrespective of the way the oscillators are coupled together, the strength of their couplings, and their natural frequencies [19]. Within this general treatment, the emergence of relaxation-and decoherence-free subspaces in networks of weakly and strongly coupled resonators has also been addressed [20], as well as a proposal for a quantum memory for the preservation of superposition states against decoherence by their evolution in appropriate topologies of such dissipative bosonic networks [21]. In addition, the dynamics and manipulation of entanglement has been analyzed [22], apart from other significant advances [23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Engineering interactions for quasiperfect transfer of polariton states through nonideal bosonic networks of distinct topologies

2011

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We present a scheme for quasiperfect transfer of polariton states from a sender to a spatially separated receiver, both composed of high-quality cavities filled by atomic samples. The sender and the receiver are connected by a nonideal transmission channel -the data bus-modelled by a network of lossy empty cavities. In particular, we analyze the influence of a large class of data-bus topologies on the fidelity and transfer time of the polariton state. Moreover, we also assume dispersive couplings between the polariton fields and the data-bus normal modes in order to achieve a tunneling-like state transfer. Such a tunneling-transfer mechanism, by which the excitation energy of the polariton effectively does not populate the data-bus cavities, is capable of attenuating appreciably the dissipative effects of the data-bus cavities. After deriving a Hamiltonian for the effective coupling between the sender and the receiver, we show that the decay rate of the fidelity is proportional to a cooperativity parameter that weighs the cost of the dissipation rate against the benefit of the effective coupling strength. The increase of the fidelity of the transfer process can be achieved at the expense of longer transfer times. We also show that the dependence of both the fidelity and the transfer time on the network topology is analyzed in detail for distinct regimes of parameters. It follows that the data-bus topology can be explored to control the time of the state-transfer process.

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Holonomic Quantum Control with Continuous Variable Systems

Albert¹,

Shu²,

Krastanov³

et al. 2016

Phys. Rev. Lett.

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Universal computation of a quantum system consisting of superpositions of well-separated coherent states of multiple harmonic oscillators can be achieved by three families of adiabatic holonomic gates. The first gate consists of moving a coherent state around a closed path in phase space, resulting in a relative Berry phase between that state and the other states. The second gate consists of "colliding" two coherent states of the same oscillator, resulting in coherent population transfer between them. The third gate is an effective controlled-phase gate on coherent states of two different oscillators. Such gates should be realizable via reservoir engineering of systems that support tunable nonlinearities, such as trapped ions and circuit QED.

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Storing quantum states in bosonic dissipative networks

Cited by 3 publications

References 42 publications

Quasi-perfect state transfer in a bosonic dissipative network

Quasi-perfect state transfer in a bosonic dissipative network

Engineering interactions for quasiperfect transfer of polariton states through nonideal bosonic networks of distinct topologies

Holonomic Quantum Control with Continuous Variable Systems

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