Comparison of dynamical decoupling protocols for a nitrogen-vacancy center in diamond

Wang, Zhi‐Hui; Lange, G. de; Ristè, Diego; Hanson, Ronald K.; Dobrovitski, V. V.

doi:10.1103/physrevb.85.155204

Cited by 102 publications

(124 citation statements)

References 110 publications

(216 reference statements)

Supporting

Mentioning

121

Contrasting

Order By: Relevance

“…This comparison shows that the decay rate is diminished by a large factor ω 2 , although achieved due to constant application of strong driving to the central spin. For realistic parameters 42 , b = 3.6 µs −1 and h = 2π × 8 MHz, the rotary echo decay time survives longer by a factor of about ω 2 ∼ 100. In realistic experiments, on such time scales the decay of the NV spins would be probably dominated by other relaxation mechanisms.…”

Section: Discussionmentioning

confidence: 99%

“…However, the mutual flip-flops between the N spins are generally allowed, and lead to fluctuations of the dipolar field created by the spin bath on the NV center. Since the long-range dipolar interaction couples each N spin to hundreds of other N spins and only to one NV center, and all the couplings are comparable, dynamics of the flip-flops is barely affected by the state of the NV center (negligible backaction) 11,39,42,47,50 . Such a bath can be described in a mean-field manner, as a random time-varying magnetic field B(t) acting on the NV spin, in a spirit of earlier works on magnetic resonance [70][71][72][73] .…”

Section: Nv Center Coupled To the Dilute Spin Bathmentioning

confidence: 99%

“…It is important to note that the effective values of b e and R e , which govern the rotary echo decay, are the same as those which govern the free decay, spin echo dynamics, and the response to dynamical decoupling of the NV center's spin 39,42,62 . Thus, the same picture of a single effective O-U random field, with the same parameters, can describe a wide variety of the dynamical regimes for the controlled spin of a NV center.…”

Section: A Decoherence By Multiple Noise Fieldsmentioning

confidence: 99%

“…II, the realistic bath consisting of substitutional N atom (P1 centers) in diamond has more complex structure than a single O-U field. Due to the complex internal structure of the P1 centers, where an electron spin S = 1/2 is strongly (∼ 100 MHz) coupled to a nuclear 14 N spin I = 1 via anisotropic hyperfine interaction, the bath of P1 centers contains six different spectral groups 11,39,42,62 . Correspondingly, such a bath should be described as a sum of six O-U noise fields 42 B k (t) (k = 1, .…”

Section: Rotary Echo Protocol For Realistic Bath Of N Atoms In Diamentioning

confidence: 99%

“…In order to decouple the NV spin from the decohering environment, many pulse-based dynamical decoupling protocols have been investigated and proven efficient. 25,[39][40][41][42][43][44][45][46] At the same time, an alternative approach based on the continuous dynamical decoupling has been extensively investigated. 11,[47][48][49][50][51][52][53][54][55][56][57][58] Within this approach, strong resonant driving is applied to the NV center.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Decay of the rotary echoes for the spin of a nitrogen-vacancy center in diamond

Mkhitaryan

Dobrovitski

2014

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

We study dynamics of the electron spin of a nitrogen-vacancy (NV) center subjected to a strong driving field with periodically reversed direction (train of rotary echoes). We use analytical and numerical tools to analyze in detail the form and timescales of decay of the rotary echo train, modeling the decohering spin environment as a random magnetic field. We demonstrate that the problem can be exactly mapped onto a model of spin 1 coupled to a single bosonic mode with imaginary frequency. This mapping allows comprehensive analytical investigation beyond the standard BlochRedfield-type approaches. We explore the decay of the rotary echo train under assumption of strong driving, and identify the most important regimes of the decay. The analytical results are compared with the direct numerical simulations to confirm quantitative accuracy of our study. We present the results for realistic environment of substitutional nitrogen atoms (P1 centers), and provide a simplified but accurate description for decay of the rotary echo train of the NV center's spin. The approach presented here can also be used to study decoherence and longitudinal relaxation of other spin systems under conditions of strong driving.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Nv Center Coupled To the Dilute Spin Bathmentioning

confidence: 99%

Section: A Decoherence By Multiple Noise Fieldsmentioning

confidence: 99%

Section: Rotary Echo Protocol For Realistic Bath Of N Atoms In Diamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Decay of the rotary echoes for the spin of a nitrogen-vacancy center in diamond

Mkhitaryan

Dobrovitski

2014

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

show abstract

Experiment 2 (Read): Multimode Retrieval of Few Photon Fields from a Spin Ensemble

Grèzes

2015

Towards a Spin-Ensemble Quantum Memory for Superconducting Qubits

View full text Add to dashboard Cite

Optimal digital dynamical decoupling for general decoherence via Walsh modulation

Dowling

Viola

2017

Quantum Inf Process

View full text Add to dashboard Cite

We provide a general framework for constructing digital dynamical decoupling sequences based on Walsh modulation -applicable to arbitrary qubit decoherence scenarios. By establishing equivalence between decoupling design based on Walsh functions and on concatenated projections, we identify a family of optimal Walsh sequences, which can be exponentially more efficient, in terms of the required total pulse number, for fixed cancellation order, than known digital sequences based on concatenated design. Optimal sequences for a given cancellation order are highly non-uniquetheir performance depending sensitively on the control path. We provide an analytic upper bound to the achievable decoupling error, and show how sequences within the optimal Walsh family can substantially outperform concatenated decoupling, while respecting realistic timing constraints. We validate these conclusions by numerically computing the average fidelity in a toy model capturing the essential feature of hyperfine-induced decoherence in a quantum dot.PACS numbers: 03.65. Yz,03.67.Pp,89.70.+c Dynamical decoupling (DD) techniques, based on open-loop quantum control, provide an effective strategy to reduce decoherence from temporally correlated noise processes in realistic quantum information processing platforms [1,2]. In its simplest form, DD coherently averages out the unwanted system-environment interaction through the application of tailored sequences of (ideally, instantaneous) pulses, whose net action on the system translates, in the frequency domain, into a high-pass noise filter [3][4][5][6]. To date, the most efficient DD schemes known for generic error models -notably, Uhrig DD [7] and quadratic DD [8] for pure dephasing and general decoherence on a single qubit -involve pulse sequences with irrational pulse timing [9]. However, consideration of practical constraints highlights crucial advantages of digital DD, whereby all pulse separations are integer multiples of an experimentally restricted minimum time interval. Irrationally-timed DD sequences have been found to be more sensitive to both the form of the spectral cutoff and to inevitable pulse errors [10][11][12], while being less amenable to the additional compensation steps (e.g., via phase-shifts or composite pulses) that are needed to mitigate these errors for arbitrary input states [13][14][15][16]. Even in situations where pulse imperfections are unimportant, digital DD sequences are highly compatible with hardware constraints stemming from digital sequencing circuitry and clocking, which makes them attractive in terms of minimizing sequencing complexity, as ultimately demanded for large-scale implementations.Control modulation based on Walsh functions [17], has been proposed as a unifying approach for generating digital-efficient protocols, for both dynamically corrected quantum storage and gates [18][19][20][21]. Walsh DD (WDD) has been shown to naturally incorporate existing digital sequences as special instances (including concatenated DD for both single-and multi-axis...

show abstract

Comparison of dynamical decoupling protocols for a nitrogen-vacancy center in diamond

Cited by 102 publications

References 110 publications

Decay of the rotary echoes for the spin of a nitrogen-vacancy center in diamond

Decay of the rotary echoes for the spin of a nitrogen-vacancy center in diamond

Experiment 2 (Read): Multimode Retrieval of Few Photon Fields from a Spin Ensemble

Optimal digital dynamical decoupling for general decoherence via Walsh modulation

Contact Info

Product

Resources

About