Quantum search by parallel eigenvalue adiabatic passage

Daems, David; Guérin, S.; Cerf, Nicolas J.

doi:10.1103/physreva.78.042322

Cited by 13 publications

(8 citation statements)

References 14 publications

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“…An equation equivalent to Eq. (2) has been applied to specific models [5][6][7][8][9][10], for example, the two-level system [7] and three-level lambda systems [6].…”

Section: Introductionmentioning

confidence: 99%

Fast quasiadiabatic dynamics

et al. 2015

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We work out the theory and applications of a fast quasiadiabatic approach to speed up slow adiabatic manipulations of quantum systems by driving a control parameter as near to the adiabatic limit as possible over the entire protocol duration. We find characteristic time scales, such as the minimal time to achieve fidelity 1, and the optimality of the approach within the iterative superadiabatic sequence. Specifically, we show that the population inversion in a two-level system, the splitting and cotunneling of two-interacting bosons, and the stirring of a Tonks-Girardeau gas on a ring to achieve mesoscopic superpositions of many-body rotating and nonrotating states can be significantly speeded up

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“…An equation equivalent to Eq. (2) has been applied to specific models [5][6][7][8][9][10], for example, the two-level system [7] and three-level lambda systems [6].…”

Section: Introductionmentioning

confidence: 99%

Fast quasiadiabatic dynamics

et al. 2015

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“…We find that the analytic error contributions [Eqs. (20), (34), and (36)] reproduce the numerical evaluation in appropriate limits (see Fig. 7).…”

Section: Fig 6 A) Example Realization Of the Constant-gap Modelmentioning

confidence: 75%

“…In addition to the schemes listed above, a promising strategy for rapid population transfer is provided by a fast quasiadiabatic (fast-QUAD) pulse. For a two-level singleparameter Hamiltonian, H[θ(t)], with energies E j [θ(t)], a fast-QUAD control pulse θ(t) is given as the solution to the differential equation (setting = 1)[35][36][37][38]…”

mentioning

confidence: 99%

Generalized fast quasi-adiabatic population transfer for improved qubit readout, shuttling, and noise mitigation

Fehse¹,

David²,

Pioro-Ladrière³

et al. 2022

Preprint

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Population-transfer schemes are commonly used to convert information robustly stored in some quantum system for manipulation and memory into more macroscopic degrees of freedom for measurement. These schemes may include, e.g., spin-to-charge conversion for spins in quantum dots, detuning of charge qubits between a noise-insensitive operating point and a measurement point, spatial shuttling of qubits encoded in spins or ions, and parity-to-charge conversion schemes for qubits based on Majorana zero modes. A common strategy is to use a slow (adiabatic) conversion. However, in an adiabatic scheme, the adiabaticity conditions on the one hand, and accumulation of errors through dephasing, leakage, and energy relaxation processes on the other hand, limit the fidelity that can be achieved. Here, we give explicit fast quasi-adiabatic (fast-QUAD) conversion strategies (pulse shapes) beyond the adiabatic approximation that allow for optimal state conversion. In contrast with many other approaches, here we account for a general source of noise in combination with pulse shaping. Inspired by analytic methods that have been developed for dynamical decoupling theory, we provide a general framework for unique noise mitigation strategies that can be tailored to the system and environment of interest.

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“…This parallel adiabatic passage strategy should be adapted to produce in an optimal way superpositions of states such as in the case of fractional STIRAP [25]. This should find applications in quantum information processing, for instance to implement fast quantum gates or quantum algorithm (such as the implementation of the parallel adiabatic passage for the quantum search [26]). The high efficiency of the parallel strategy shown in Fig.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Ultrafast stimulated Raman parallel adiabatic passage by shaped pulses

et al. 2009

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We present a general and versatile technique of population transfer based on parallel adiabatic passage by femtosecond shaped pulses. Their amplitude and phase are specifically designed to optimize the adiabatic passage corresponding to parallel eigenvalues at all times. We show that this technique allows the robust adiabatic population transfer in a Raman system with the total pulse area as low as 3 π, corresponding to a fluence of one order of magnitude below the conventional stimulated Raman adiabatic passage process. This process of short duration, typically pico-and subpicosecond, is easily implementable with the modern pulse shaper technology and opens the possibility of ultrafast robust population transfer with interesting applications in quantum information processing.

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Quantum search by parallel eigenvalue adiabatic passage

Cited by 13 publications

References 14 publications

Fast quasiadiabatic dynamics

Fast quasiadiabatic dynamics

Generalized fast quasi-adiabatic population transfer for improved qubit readout, shuttling, and noise mitigation

Ultrafast stimulated Raman parallel adiabatic passage by shaped pulses

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