Fast quantum state engineering via universal SU(2) transformation

Huang, Bi‐Hua; Kang, Yi‐Hao; Chen, Ye‐Hong; Wu, Qi‐Cheng; Song, Jie; Yan, Xin

doi:10.1103/physreva.96.022314

Cited by 39 publications

(10 citation statements)

References 88 publications

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“…This process can be realized by adding counteradiabatic driving, which is one of the types of shortcuts to adiabaticity (STA) [19,[37][38][39][40]. Previously, some theoretical work on realizing STA based on basis vector transformation has been studied in systems such as atoms and NV centers in diamond [41][42][43]. However, it is difficult to implement counteradiabatic driving in real experiments when Hamiltonian is included in the creation and annihilation operators.…”

Section: Introductionmentioning

confidence: 99%

Manipulation of phonon states in ion traps by shortcuts to adiabaticity

Yang,

Xie,

Zhang

et al. 2023

New J. Phys.

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Shortcuts to adiabaticity (STA) provides the possibility of high accuracy manipulation of phonon states in ion traps. We propose a scheme realized experimentally for manipulating phonon states using STA and confirmed its effectiveness through generating Fock states. Our results show that the duration of the STA manipulation of phonon states is 16 times faster than that of the adiabatic evolution, and the non-resonant excitation can be suppressed by laser bias frequency, which are confirmed by experimental results. Moreover, we also carried out an experimental research on the robustness of STA, showing good robustness respect to the pulse shape deformation, bias noises and stochastic noise. This might lead to a useful step toward realizing fast and noise-resistant quantum manipulation within current experimental capacity.

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Section: Introductionmentioning

confidence: 99%

Manipulation of phonon states in ion traps by shortcuts to adiabaticity

Yang,

Xie,

Zhang

et al. 2023

New J. Phys.

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“…It is known that adiabatic evolutions require long run time [19][20][21] and this makes STIRAP vulnerable to environmentinduced decoherence [8]. Recently, shortcuts to adiabaticity * xgf@sdu.edu.cn (STA) [22,23], which includes transitionless quantum driving, invariant-based inverse engineering and fast-forward approaches, has been used to speed up adiabatic population transfers [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] and design stimulated Raman exact passage [44][45][46][47][48][49]. However, when using such STA based schemes in spin systems, the existence of the frequency errors still influences the performance of these schemes.…”

Section: Introductionmentioning

confidence: 99%

Robust population transfer of spin states by geometric formalism

Li,

2022

Preprint

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Accurate population transfer of uncoupled or weakly coupled spin states is crucial for many quantum information processing tasks. In this paper, we propose a fast and robust scheme for population transfer which combines invariant-based inverse engineering and geometric formalism for robust quantum control. Our scheme is not constrained by the adiabatic condition and therefore can be implemented fast. It can also effectively suppress the dominant noise in spin systems, which together with the fast feature guarantees the accuracy of the population transfer. Moreover, the control parameters of the driving Hamiltonian in our scheme are easy to design because they correspond to the curvature and torsion of a three-dimensional visual space curve derived by using geometric formalism for robust quantum control. We test the efficiency of our scheme by numerically simulating the ground-state population transfer in 15 N nitrogen vacancy centers and comparing our scheme with stimulated Raman transition, stimulated Raman adiabatic passage and conventional shortcuts to adiabaticity based schemes, three types of popularly used schemes for population transfer. The numerical results clearly show that our scheme is advantageous over these previous ones.

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“…Therefore, NHQC can reduce the influence of decoherence to the unitary operations by shortening the operation time. In addition, recent works [33][34][35][36][37] have indicated that NHQC is compatible with a lot of control and optimal methods, such as reverse engineering [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54] and the systematic-error-sensitivity nullified optimal control method [55][56][57][58][59][60]. By using proper control methods in NHQC, robustness against systematic errors can be significantly enhanced.…”

Section: Introductionmentioning

confidence: 99%

Effective non-adiabatic holonomic quantum computation of cavity modes via invariant-based reverse engineering

Kang

Shi

Song

et al. 2022

Phil. Trans. R. Soc. A.

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In this paper, we propose a protocol to realize non-adiabatic holonomic quantum computation (NHQC) of cavity modes via invariant-based reverse engineering. Coupling cavity modes with an auxiliary atom trapped in a cavity, we derive effective Hamiltonians with the help of laser pulses. Based on the derived Hamiltonians, invariant-based reverse engineering is used to find proper evolution paths for NHQC. Moreover, the systematic-error-sensitivity nullified optimal control method is considered in the parameter selections, making the protocol insensitive to the influence of systematic errors of pulses. We also estimate the imperfections induced by random noise and decoherence. Numerical results show that the protocol holds robustness against these imperfections. Therefore, the protocol may provide useful perspectives to quantum computation with optical qubits in cavity quantum electrodynamics systems. This article is part of the theme issue ‘Shortcuts to adiabaticity: theoretical, experimental and interdisciplinary perspectives’.

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Fast quantum state engineering via universal SU(2) transformation

Cited by 39 publications

References 88 publications

Manipulation of phonon states in ion traps by shortcuts to adiabaticity

Manipulation of phonon states in ion traps by shortcuts to adiabaticity

Robust population transfer of spin states by geometric formalism

Effective non-adiabatic holonomic quantum computation of cavity modes via invariant-based reverse engineering

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