Selective dynamical decoupling for quantum state transfer

Frydrych, Holger; Hoskovec, Antonín; Jex, Igor; Alber, Gernot

doi:10.1088/0953-4075/48/2/025501

Cited by 5 publications

(3 citation statements)

References 31 publications

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“…Practically speaking, however, such perfect state transfer is difficult due to the unwanted influences of the environment. To remove this detrimental effect, pulse sequences [60] have been considered and the direct modulation of the spinspin coupling has also been investigated [61]. With our scheme, as we have discussed, local noise terms can be eliminated to lowest order by applying a static as well as oscillating control fields.…”

Section: Quantum State Transfermentioning

confidence: 99%

Continuous dynamical decoupling of spin chains: Modulating the spin-environment and spin-spin interactions

et al. 2019

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For spins chains to be useful for quantum information processing tasks, the interaction between the spin chain and its environment generally needs to be suppressed. In this paper, we propose the use of strong static and oscillating control fields in order to effectively remove the spin chainenvironment interaction. We find that our control fields can also effectively transform the spin chain Hamiltonian. In particular, interaction terms which are absent in the original spin chain Hamiltonian appear in the time-averaged effective Hamiltonian once the control fields are applied, implying that spin-spin interactions can be engineered via the application of static and oscillating control fields. This transformation of the spin chain can then potentially be used to improve the performance of the spin chain for quantum information processing tasks. For example, our control fields can be used to achieve almost perfect quantum state transfer across a spin chain even in the presence of noise. As another example, we show how the use of particular static and oscillating control fields not only suppresses the effect of the environment, but can also improve the generation of two-spin entanglement in the spin chain.

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Section: Quantum State Transfermentioning

confidence: 99%

Continuous dynamical decoupling of spin chains: Modulating the spin-environment and spin-spin interactions

et al. 2019

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“…If we have control over all sites we can globally design the dynamics such that the walker is transferred between a selected pair of vertices at a certain time. For the continuous time evolution, where the dynamics is governed by the Schroedinger equation with a given hamiltonian, the problem was investigated to large detail in the context of spin chains [5][6][7][8][9][10], discrete quantum networks of various topologies [11][12][13][14][15] and continuous time quantum walks [16][17][18][19][20]. In the discrete time case this approach was studied on various graphs such as circle [21,22], regular graphs [23] or more general networks [24].…”

Section: Introductionmentioning

confidence: 99%

Quantum walk state transfer on a hypercube

Štefaňák,

Skoupý

2023

Phys. Scr.

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We investigate state transfer on a hypercube by means of a quantum walk where the sender and the receiver vertices are marked by a weighted loops. First, we analyze search for a single marked vertex, which can be used for state transfer between arbitrary vertices by switching the weighted loop from the sender to the receiver after one run-time. Next, state transfer between antipodal vertices is considered. We show that one can tune the weight of the loop to achieve state transfer with high fidelity in shorter run-time in comparison to the state transfer with a switch. Finally, we investigate state transfer between vertices of arbitrary distance. It is shown that when the distance between the sender and the receiver is at least 2, the results derived for the antipodes are well applicable. If the sender and the receiver are direct neighbours the evolution follows a slightly different course. Nevertheless, state transfer with high fidelity is achieved in the same run-time.

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“…In recent years dynamical decoupling has been scrutinized more closely both from the theoretical [10][11][12][13] and the experimental side [15][16][17][18][19]. It has been shown that this method can also tailor the Hamiltonian evolution into a desired one [20,21]. Therefore, it can be called dynamical control and not only dynamical decoupling.…”

Section: Introductionmentioning

confidence: 99%

Dynamical control of quantum systems in the context of mean ergodic theorems

Bernád

2017

J. Phys. A: Math. Theor.

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Equidistant and non-equidistant single pulse "bang-bang" dynamical controls are investigated in the context of mean ergodic theorems. We show the requirements in which the limit of infinite pulse control for both the equidistant and the non-equidistant dynamical control converges to the same unitary evolution. It is demonstrated that the generator of this evolution can be obtained by projecting the generator of the free evolution onto the commutant of the unitary operator representing the pulse. Inequalities are derived to prove this statement and in the case of nonequidistant approach these inequalities are optimised as a function of the time intervals.

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Selective dynamical decoupling for quantum state transfer

Cited by 5 publications

References 31 publications

Continuous dynamical decoupling of spin chains: Modulating the spin-environment and spin-spin interactions

Continuous dynamical decoupling of spin chains: Modulating the spin-environment and spin-spin interactions

Quantum walk state transfer on a hypercube

Dynamical control of quantum systems in the context of mean ergodic theorems

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