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

Abstract

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.

Shaped Pulses for Energy-Efficient High-Field NMR at the Nanoscale

“…We consider periodic pulse sequences of period T such that F z (t) = l f l cos (lω m t) where ω m = 2π T and f l = 2 T T 0 F z (s) cos (lω m s) ds. Examples of these sequences are those of the XY family [37,38] or more sophisticated schemes [17,[39][40][41][42][43][44][45]. For kω m = ω n (resonance condition with the kth harmonic, i.e.…”

Selective hybrid spin interactions with low radiation power

“…2 (c), our method faithfully resolves all resonances in the 5-H cluster, and reproduces the theoretically expected signal contrast. It is noteworthy to comment that the tunability offered by our method will be of help for different quantum algorithms with NV centers [38][39][40][41] .…”

Selective nuclear-spin interaction based on a dissipatively stabilized nitrogen-vacancy center

“…Nuclear spins can be initialized, controlled, and read out through the electron spin of the nitrogen vacancy (NV) center [13] driven by optical fields and microwave radiation [14,15]. Recent progress manifests in a number of works, such as electron-nuclear [16][17][18][19][20][21][22][23][24][25], electron-electron [26] and nuclear-nuclear quantum gates [27]. Many schemes are proposed to realize electron-nuclear quantum gate operations, both with [22,23] and without [24,25] additional radio-frequency (RF) control on the nuclear spins themselves.…”

“…Recent progress manifests in a number of works, such as electron-nuclear [16][17][18][19][20][21][22][23][24][25], electron-electron [26] and nuclear-nuclear quantum gates [27]. Many schemes are proposed to realize electron-nuclear quantum gate operations, both with [22,23] and without [24,25] additional radio-frequency (RF) control on the nuclear spins themselves.…”