Iterative rotation scheme for robust dynamical decoupling

Álvarez, Gonzalo; Souza, Alexandre M.; Suter, Dieter

doi:10.1103/physreva.85.052324

Cited by 18 publications

(19 citation statements)

References 50 publications

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“…For instance, recent theoretical methods permit consideration of noise correlations across different spatial directions [41] in general non-Markovian single-qubit environments for which T 2 and T 1 may be comparable. In such cases, multi-axis DD sequences such as XY4 [2] may be considered from the outset in order to suppress phase and energy relaxation, as experimentally demonstrated recently [43]. Likewise, we remark that our approach naturally applies to multiple qubits subject to dephasing from independent environments.…”

Section: Discussionmentioning

confidence: 82%

Designing a practical high-fidelity long-time quantum memory

et al. 2013

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Quantum memory is a central component for quantum information processing devices, and will be required to provide high-fidelity storage of arbitrary states, long storage times and small access latencies. Despite growing interest in applying physical-layer error-suppression strategies to boost fidelities, it has not previously been possible to meet such competing demands with a single approach. Here we use an experimentally validated theoretical framework to identify periodic repetition of a high-order dynamical decoupling sequence as a systematic strategy to meet these challenges. We provide analytic bounds-validated by numerical calculations-on the characteristics of the relevant control sequences and show that a 'stroboscopic saturation' of coherence, or coherence plateau, can be engineered, even in the presence of experimental imperfection. This permits high-fidelity storage for times that can be exceptionally long, meaning that our device-independent results should prove instrumental in producing practically useful quantum technologies.

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Section: Discussionmentioning

confidence: 82%

Designing a practical high-fidelity long-time quantum memory

et al. 2013

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“…In earlier works using these sequences, the conditions were chosen such that the dominant perturbation was the environmental noise [18,24,44,46,47]. In this work, we focus on a system that allow us to make a comparison between these sequences in a regime where all sequences perform equally well at eliminating the environmental noise and any differences in their performance can be attributed directly to their robustness, i.e.…”

Section: Dynamical Decoupling Sequencesmentioning

confidence: 99%

Robustness of dynamical decoupling sequences

2013

Self Cite

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Active protection of quantum states is an essential prerequisite for the implementation of quantum computing. Dynamical decoupling (DD) is a promising approach that applies sequences of control pulses to the system in order to reduce the adverse effect of system-environment interactions. Since every hardware device has finite precision, the errors of the DD control pulses can themselves destroy the stored information rather than protect it. We experimentally compare the performance of different DD sequences in the presence of an environment that was chosen such that all relevant DD sequences can equally suppress its effect on the system. Under these conditions, the remaining decay of the qubits under DD allows us to compare very precisely the robustness of the different DD sequences with respect to imperfections of the control pulses.

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“…CDD sequences against pure dephasing were investigated for electron spin qubits in realistic solid-state systems with nuclear spins as baths [18][19][20]. Experiments [21][22][23][24][25] have tested the performance of CDD. CDD works for generic quantum systems coupled to a finite bath [26,27].…”

Section: Introductionmentioning

confidence: 99%

No-go theorems and optimization of dynamical decoupling against noise with soft cutoff

Wang

Liu

2013

Phys. Rev. A

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We study the performance of dynamical decoupling in suppressing decoherence caused by soft-cutoff Gaussian noise, using short-time expansion of the noise correlations and numerical optimization. For the noise with soft cutoff at high frequencies, there exists no dynamical decoupling scheme to eliminate the decoherence to arbitrary orders of the short time, regardless of the timing or pulse shaping of the control under the population conserving condition. We formulate the equations for optimizing pulse sequences that minimize decoherence up to the highest possible order of the short time for the noise correlations with odd power terms in the short-time expansion. In particular, we show that the Carr-Purcell-Meiboom-Gill sequence is optimal in the short-time limit for the noise correlations with a linear order term in the time expansion.

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Iterative rotation scheme for robust dynamical decoupling

Cited by 18 publications

References 50 publications

Designing a practical high-fidelity long-time quantum memory

Designing a practical high-fidelity long-time quantum memory

Robustness of dynamical decoupling sequences

No-go theorems and optimization of dynamical decoupling against noise with soft cutoff

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