Improving coherent population transfer via a stricter adiabatic condition

Xu, Jian; Du, Yan-Xiong; Huang, Wei

doi:10.1103/physreva.100.023848

Cited by 6 publications

(5 citation statements)

References 39 publications

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“…In particular, it is possible to approximately decompose the transitionless quantum driving into the sum of separate single-crossing corrections (Theisen et al, 2017). Analysis of the adiabatic condition can help further improve the coherent population transfer, resulting in tangent-shaped pulses (Xu et al, 2019a).…”

Section: Shortcuts To Adiabaticitymentioning

confidence: 99%

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Ivakhnenko¹,

Shevchenko²,

Nori³

2022

Preprint

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H. Comparison of different methods IV. Interferometry A. Superconducting circuits B. Semiconductor quantum dots C. Donors and impurities (atomic qubits) D. Graphene E. Microscopic systems F. Other systems G. Multilevel systems V. Quantum control A. Coherent control of microscopic and mesoscopic structures B. Universal single-and two-qubit control C. Shortcuts to adiabaticity D. Adiabatic quantum computation VI. Related classical coherent phenomena VII. Conclusion 1. With near-adiabatic limit (Landau) 2. With parabolic cylinder functions (Zener) 3. With contour integrals (Majorana) 4. With WKB approximation and phase integral method (Stückelberg) 5. Duration of the LZSM transition B. Description of a periodically driven two-level system 1. Adiabatic-impulse model a. Adiabatic evolution b. Multiple-passage evolution 2. Rotating-wave approximation (RWA) 3. Floquet theory 4. Rate equation and white noise approach a. Transition rate b. Rate equation c. From Bessel to Airy d. Double-passage regime ReferencesAbbreviations and most-often-used symbols Because this review article is quite long, for the readers' convenience, we present the main abbreviations used. This list also includes some of the topics covered.

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Section: Shortcuts To Adiabaticitymentioning

confidence: 99%

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Ivakhnenko¹,

Shevchenko²,

Nori³

2022

Preprint

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“…We discuss here the application of the time scaling method to open quantum systems described by non-Hermitian Hamiltonian [37,38]. First, we address the commonly-called FAQUAD (Fast quasiadiabatic) protocol [39,40] for a dissipative two-level system [41]. We then investigate the application of time scaling to the STIRAP (Stimulated Raman adiabatic passage) protocol in a 3-level systems.…”

Section: Time Scaling For Dissipative 2 and 3-level Systemsmentioning

confidence: 99%

“…As a concrete example, we consider a time-rescaled FAQUAD protocol keeping the same protocol duration, Λ(T ) = T , and with a constant Rabi frequency Ω(t) = Ω 0 . The single control parameter is therefore the timedependent detuning δ(t) [39,40]. Equation ( 5) yields cos θ(t) − cos θ 0 = −4cΩ 0 t. To ensure a high fidelity transfer, the angle θ(t) must fulfill the boundary conditions θ 0 0 and θ T π.…”

Section: Time Scaling For Dissipative 2 and 3-level Systemsmentioning

confidence: 99%

“…Equation ( 5) yields cos θ(t) − cos θ 0 = −4cΩ 0 t. To ensure a high fidelity transfer, the angle θ(t) must fulfill the boundary conditions θ 0 0 and θ T π. We choose cos θ 0 = 1 − and cos θ T = −1 + with 0 < 1 as a null parameter = 0 generates unrealistic infinite detuning at the time boundaries [39,40]. The adiabaticity constant reads c = (1 − )/(2Ω 0 T ).…”

Section: Time Scaling For Dissipative 2 and 3-level Systemsmentioning

confidence: 99%

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Time scaling and quantum speed limit in non-Hermitian Hamiltonians

Impens,

D'Angelis,

Pinheiro

et al. 2021

Preprint

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We report on a time scaling technique to enhance the performances of quantum protocols in non-Hermitian systems. The considered time scaling involves no extra-couplings and yields a significant enhancement of the quantum fidelity for a comparable amount of resources. We discuss the application of this technique to quantum state transfers in 2 and 3-level open quantum systems. We derive the quantum speed limit in a system governed by a non-Hermitian Hamiltonian. Interestingly, we show that, with an appropriate driving, the time-scaling technique preserves the optimality of the quantum speed with respect to the quantum speed limit while reducing significantly the damping of the quantum state norm.

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“…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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Improving coherent population transfer via a stricter adiabatic condition

Cited by 6 publications

References 39 publications

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Time scaling and quantum speed limit in non-Hermitian Hamiltonians

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

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