Two-photon Lee-Goldburg nuclear magnetic resonance: Simultaneous homonuclear decoupling and signal acquisition

Michal, Carl A.; Hastings, Simon P.; Lee, Lik Hang

doi:10.1063/1.2825593

Cited by 9 publications

(12 citation statements)

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“…The tuning of the direct coupling of nuclear spins is excessively demanding, although it can be suppressed (up to a certain degree) by the application of suitably tuned radio frequency (rf) fields [6,11,12]. However, nuclear spins can be coupled to external magnetic fields through Zeeman interactions [13], and more importantly, they can couple to nearby electron spins.…”

Section: Introductionmentioning

confidence: 99%

Arbitrary nuclear-spin gates in diamond mediated by a nitrogen-vacancy-center electron spin

2017

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We show that arbitrary N-qubit interactions among nuclear spins can be achieved efficiently in solid state quantum platforms, such as nitrogen vacancy centers in diamond, by exerting control only on the electron spin coupled to the nuclei. This allows to exploit nuclear spins as robust quantum registers and the direct measurement of nuclear many-body correlators. The method takes advantage of recently introduced dynamical decoupling techniques and avoids the necessity of external, slow, control on the nuclei. Our protocol is general, being applicable to other nuclear spin based platforms with electronic spin defects acting as mediators as silicon carbide.

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Section: Introductionmentioning

confidence: 99%

Arbitrary nuclear-spin gates in diamond mediated by a nitrogen-vacancy-center electron spin

2017

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“…(5) result in Ω x ≈ √ 2∆. Note that by using external coils rf fields of ∼ 0.1 T have been demonstrated [30], and when applied to the case of 13 C nuclei generate Ω x > 2π × 100 kHz.Gate performance-The application of AXY sequences provides us with a robust procedure to entangle the electron spin and each nuclei [1]. However, in order to selectively couple the electron spin with the I x l or I y l operators we need to choose time-symmetric or antisymmetric pulse sequences, i.e.…”

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confidence: 99%

“…(5) result in Ω x ≈ √ 2∆. Note that by using external coils rf fields of ∼ 0.1 T have been demonstrated [30], and when applied to the case of 13 C nuclei generate Ω x > 2π × 100 kHz.…”

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confidence: 99%

“…Tr(AA † ) Tr(BB † ) , whit A and B two general quantum operations [30], by driving at the theoretically predicted resonance frequencies in Eq. (2).…”

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confidence: 99%

“…More specifically the peak's heigh is P |+ih+| = 1 h x i 2 where h x i = cos ( ms 4 f˜kg l t) and |g l | = |Ã l Ã l ·! l!l | for theB d = 0 case, and g l = A z lñ z sin (✓ñ ,nl ) forB d , 0, see Suplemental Material for additional details.In order to check the fidelities of di↵erent single-and two qubit-gates we performed simulations in a sample such that their hyperfine vectors have A z 1 = 23.10 kHz, A z 2 = 9.63 kHz, A z 3 = 16.59 kHz, the internuclear coupling coe cients of g 1,2 = 3.56 Hz, g 1,3 = 2.81 Hz, g 2,3 = 292.76 Hz, and = 100 kHz see [21], and numerically computed the fidelities of single-and two-qubit gates according to the definition F = |Tr(AB † )| p Tr(AA † ) Tr(BB † ) , whit A and B two general quantum operations [30], by driving at the theoretically predicted resonance frequencies in Eq. (2).…”

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Noise-Resilient Quantum Computing with a Nitrogen-Vacancy Center and Nuclear Spins

2016

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Selective control of qubits in a quantum register for the purposes of quantum information processing represents a critical challenge for dense spin ensembles in solid state systems. Here we present a protocol that achieves a complete set of selective electron-nuclear gates and single nuclear rotations in such an ensemble in diamond facilitated by a nearby NV center. The protocol suppresses internuclear interactions as well as unwanted coupling between the NV center and other spins of the ensemble to achieve quantum gate fidelities well exceeding 99%. Notably, our method can be applied to weakly coupled, distant, spins representing a scalable procedure that exploits the exceptional properties of nuclear spins in diamond as robust quantum memories.Introduction -Quantum computing and quantum simulation hold the promise for tackling computational problems that are currently out of the reach of classical devices [1,2]. With these applications in mind a wide variety of possible platforms have been proposed and realized which include trapped ions [3], superconducting circuits [4], optical lattices [5], coupled cavity arrays [6], integrated photonics [7], and hybrid systems involving nuclear spins and nitrogen vacancy (NV) centers [8]. However, while the storage and processing of information by using quantum degrees of freedom promises to enhance our computational capabilities, the available quantum-bits (qubits) are fragile and strongly sensitive to environmental fluctuations.Nuclear spin clusters in materials such as diamond have been identified as promising candidates for robust solid-state quantum memories because of their long coherence times and the potentially large number of available spins [8]. Nuclear spins can be initialized, controlled, and read out for quantum information processing and sensing purposes with an NV center driven by optical fields and microwave radiation [9][10][11][12][13][14][15][16][17][18][19]. However quantum computing requires the precise manipulation of the information encoded in each qubit which becomes a delicate issue in samples with dense resonance spectra. Additionally, while nuclear spins can be effectively isolated from other spins [20], to combine this protection with a sequential generation of a complete set of quantum gates on specific nuclei remains as a challenging task. Overcoming these issues would enable us to realize circuit-based algorithms in highly polarized nuclear registers [21] as well as alternative models such as DQC1 computing that do not require initial nuclear polarization [22,23].In this Letter we present a protocol that combines the advantages of recently developed dynamical decoupling protocols [1,27] for the suppression of both electronic decoherence and internuclear interactions with the robust and selective implementation of quantum gates. Following a description of the technical details of our method that incorporates the combined action of microwave and radio frequency fields, we show the existence of a low-energy branch that is useful for individual ...

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Two‐pulse frequency‐hopped excitation

Michal

Dong

2016

Concepts Magnetic Resonance

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The use of frequency-hopped pulse pairs and pulse pair trains for exciting NMR signals is introduced. Pairs of pulses, each pair lasting one nutation period about the effective field in the rotating frame, can be used to efficiently tip nuclear spin magnetization. In the limit where the frequency difference between the partners in a pair is large, the magnetization dynamics mimic those of an ordinary rectangular rf pulse with rf amplitude scaled down by a factor of p/2. When the amplitude of the applied rf begins to approach the offset frequency however, the excitation bandwidth broadens dramatically in a manner reminiscent of a composite pulse.The effects of the frequency-hopped pulse pairs is described with analytical calculations and numerical simulations, and are shown to agree well with experiment.

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Two-photon Lee-Goldburg nuclear magnetic resonance: Simultaneous homonuclear decoupling and signal acquisition

Cited by 9 publications

References 25 publications

Arbitrary nuclear-spin gates in diamond mediated by a nitrogen-vacancy-center electron spin

Arbitrary nuclear-spin gates in diamond mediated by a nitrogen-vacancy-center electron spin

Noise-Resilient Quantum Computing with a Nitrogen-Vacancy Center and Nuclear Spins

Two‐pulse frequency‐hopped excitation

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