Publisher's Note: Robust quantum state transfer inspired by Dzyaloshinskii-Moriya interactions [Phys. Rev. A 
<b>95</b>
, 052332 (2017)]

Shi, Xian; Yuan, Hao; Mao, Xi‐an; Ma, Ying-Rui; Zhao, Hongquan

doi:10.1103/physreva.95.069901

Cited by 5 publications

(10 citation statements)

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“…We emphasize that the optimal shortcuts designed here are different from counter-diabatic driving [51,52] and fast-forward scaling [50], since the inverse engineering based on LR invariant provides the explicit dynamics of spins and the flexibility for further optimization. More robust protocol can be further designed by minimizing or nullifying the high order of the approximate fidelity, calculated from time-dependent perturbation theory.…”

Section: Discussionmentioning

confidence: 99%

“…Obviously, the DM interaction has the imaginary couple, which plays the same role as counter-diabatic driving, for example, when flipping the spin from | ↑↓ to | ↓↑ [51].…”

Section: B Dzyaloshinskii-moriya Interactionmentioning

confidence: 99%

“…But, in certain cases the four-level system can be simplified to three-level or two-level systems in terms of adiabatic elimination. As a consequence, the counter-diabatic terms [50,51] are easily calculated and implemented. Again, we shall emphasize that the inverse engineering [43,52] really provides an efficient way for speeding up the conventional adiabatic passage [53], and producing the efficient quantum gates as well [44].…”

Section: Introductionmentioning

confidence: 99%

“…This non-negligible term contributes to control error in quantum information processing [54]. Our strategy is to treat it as perturbative error, rather than counter-diabatic term [51], and to improve the fidelity by suppressing the unwanted transition or cancelling the control error. All these results are demonstrated by numerical examples, and compared with the resonant and composite pulses, showing the advantage of robustness.…”

Section: Introductionmentioning

confidence: 99%

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Fast and robust control of two interacting spins

Zhang

Ban

et al. 2018

Phys. Rev. A

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Rapid preparation, manipulation, and correction of spin states with high fidelity are requisite for quantum information processing and quantum computing. In this paper, we propose a fast and robust approach for controlling two spins with Heisenberg and Ising interactions. By using the concept of shortcuts to adiabaticity, we first inverse design the driving magnetic fields for achieving fast spin flip or generating the entangled Bell state, and further optimize them with respect to the error and fluctuation. In particular, the designed shortcut protocols can efficiently suppress the unwanted transition or control error induced by anisotropic antisymmetric Dzyaloshinskii-Moriya exchange. Several examples and comparisons are illustrated, showing the advantages of our methods. Finally, we emphasize that the results can be naturally extended to multiple interacting spins and other quantum systems in an analogous fashion.

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Section: Discussionmentioning

confidence: 99%

“…Obviously, the DM interaction has the imaginary couple, which plays the same role as counter-diabatic driving, for example, when flipping the spin from | ↑↓ to | ↓↑ [51].…”

Section: B Dzyaloshinskii-moriya Interactionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fast and robust control of two interacting spins

Zhang

Ban

et al. 2018

Phys. Rev. A

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“…Fast quantum state transfer is also a desirable feature to limit the impact of decoherence. Thus, the application of shortcut-to-adiabaticity techniques [16], suggested to accelerate state transfer protocols in topologically-trivial systems [17][18][19][20][21], seems suitable in the context of topological chains. Initial steps have been taken in this direction [22,23], with few experimental realizations so far [24,25].…”

Section: Introductionmentioning

confidence: 99%

Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions

D'Angelis,

Pinheiro,

Guéry-Odelin

et al. 2020

Preprint

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We suggest a method for fast and robust quantum-state transfer in a Su-Schrieffer-Heeger (SSH) chain, which exploits the use of next-to-nearest-neighbour (NNN) interactions. The proposed quantum protocol combines a rapid change in one of the topological edge states, induced by a modulation of nearest-neighbour interactions, with a fine tuning of NNN interactions operating a counteradiabatic driving. The latter cancels nonadiabatic excitations from the edge state multiplicity to the energy bands. We use this shortcut technique for topological pumping of edge states on a single dimerized chain and also through an interface that connects two dimerized Su-Schrieffer-Heeger chains with different topological order. We investigate the robustness of this protocol against both uncorrelated and correlated disorder, and demonstrate its strong resilience to the former in comparison to traditional adiabatic protocols for topological chains. We show that introducing spatial correlations in the disorder increases the robustness of the protocol, widening the range of its applicability.

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Efficient generation of the triplet Bell state between coupled spins using transitionless quantum driving and optimal control

Stefanatos

Paspalakis

2019

Phys. Rev. A

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We consider a pair of coupled spins with Ising interaction in z-direction and study the problem of generating efficiently the triplet Bell state. We initially analyze the transitionless quantum driving shortcut to adiabaticity method and point out its limitations when the available duration approaches zero. In this short time limit we explicitly calculate the fidelity of the method and find it to be much lower than unity, no matter how large become the available control fields. We find that there is a lower bound on the necessary time to complete this transfer, set by the finite value of the interaction between the spins. We then use numerical optimal control to find bang-bang pulse sequences, as well as, smooth controls, which can generate high levels of the target Bell state in the minimum possible time. The results of the present work are not restricted only to spin systems, but is expected to find also applications in other physical systems which can be modeled as interacting spins, such as, for example, coupled quantum dots.

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Publisher's Note: Robust quantum state transfer inspired by Dzyaloshinskii-Moriya interactions [Phys. Rev. A 95 , 052332 (2017)]

Cited by 5 publications

References 0 publications

Fast and robust control of two interacting spins

Fast and robust control of two interacting spins

Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions

Efficient generation of the triplet Bell state between coupled spins using transitionless quantum driving and optimal control

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