Three-level superadiabatic quantum driving

Giannelli, Luigi; Arimondo, E.

doi:10.1103/physreva.89.033419

Cited by 107 publications

(136 citation statements)

References 25 publications

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“…This technique has gained theoretical and experimental studies in atomic and molecular [21] and superconducting quantum systems [22]. When TQD is applied to speed up the adiabatic operation in three-level quantum systems, the situation becomes more complicated [15,[23][24][25][26]. In 2010, Chen et al [15] employed the TQD to speed up adiabatic passage techniques in three-level atoms extending to the short-time domain their robustness with respect to parameter variations.…”

Section: Introductionmentioning

confidence: 99%

Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics

et al. 2016

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Three-level quantum systems, which possess some unique characteristics beyond two-level ones, such as electromagnetically induced transparency, coherent trapping, and Raman scatting, play important roles in solid-state quantum information processing. Here, we introduce an approach to implement the physically feasible threelevel transitionless quantum driving with multiple Schrödinger dynamics (MSDs). It can be used to control accurately population transfer and entanglement generation for three-level quantum systems in a nonadiabatic way. Moreover, we propose an experimentally realizable hybrid architecture, based on two nitrogen-vacancycenter ensembles coupled to a transmission line resonator, to realize our transitionless scheme which requires fewer physical resources and simple procedures, and it is more robust against environmental noises and control parameter variations than conventional adiabatic passage techniques. All these features inspire the further application of MSDs on robust quantum information processing in experiment.

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Section: Introductionmentioning

confidence: 99%

Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics

et al. 2016

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“…This might lead to a useful step toward realizing fast and noise-resistant quantum information processing for multi-qubit systems in current technology. The applications or extensions of this work may be in fields, such as n-dimensional systems [52,53] (for instance, the three-dimensional systems for the stimulated Raman adiabatic passage), superadiabatic treatments [54,55], and non-adiabatic evolution of NH quantum systems [32].…”

Section: Discussionmentioning

confidence: 99%

Reverse engineering of a nonlossy adiabatic Hamiltonian for non-Hermitian systems

Chen

Huang

et al. 2016

Phys. Rev. A

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We generalize the quantum adiabatic theorem to the non-Hermitian system and build a strict adiabaticity condition to make the adiabatic evolution non lossy when taking into account the effect of adiabatic phase. According to the strict adiabaticity condition, the non-adiabatic couplings and the effect of the imaginary part of adiabatic phase should be eliminated as much as possible. Also the non-Hermitian Hamiltonian reverse engineering method is proposed for adiabatically driving an artificial quantum state. Concrete two-level system is adopted to show the usefulness of the reverse engineering method. We obtain the desired target state by adjusting extra rotating magnetic fields at a predefined time. Furthermore, the numerical simulation shows that certain noise and dissipation in the systems are no longer undesirable, but play a positive role in the scheme. Therefore, the scheme is quite useful for quantum information processing in some dissipative systems.

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“…To overcome this problem a transitionless (superadiabatic) STIRAP was proposed [5,6]. It has been shown in [7] that transitionless quantum driving can produce a perfect transfer of the population in threelevel and cascade systems. Another alternative approach to transitionlessness was proposed in [8].…”

Section: Introductionmentioning

confidence: 99%

Effect of dephasing on superadiabatic three-level quantum driving

Issoufa

Messikh

2014

Phys. Rev. A

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The robustness of the three-level transitionless quantum driving proposed by Giannelli and Arimondo [L.Giannelli and E. Arimondo, Phys. Rev. A 89, 033419 (2014)] is investigated. In the case when the excited state is barely populated during the evolution, its decay rate has little effect on the adiabatic population transfer. However, the dephasing which is due to collisions or phase fluctuations of the driving fields will produce a significant effect on the evolution. We found that the dephasing reduces the performance of the population transfer and the fidelity can be far below the quantum computation target even for small dephasing rates.

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Three-level superadiabatic quantum driving

Cited by 107 publications

References 25 publications

Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics

Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics

Reverse engineering of a nonlossy adiabatic Hamiltonian for non-Hermitian systems

Effect of dephasing on superadiabatic three-level quantum driving

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