Filter design for hybrid spin gates

Abstract

The impact of control sequences on the environmental coupling of a quantum system can be described in terms of a filter. Here we analyze how the coherent evolution of two interacting spins subject to periodic control pulses, at the example of a nitrogen vacancy center coupled to a nuclear spin, can be described in the filter framework in both the weak and the strong coupling limit. A universal functional dependence around the filter resonances then allows for tuning the coupling type and strength. Originally limited to small rotation angles, we show how the validity range of the filter description can be extended to the long time limit by time-sliced evolution sequences. Based on that insight, the construction of tunable, noise decoupled, conditional gates composed of alternating pulse sequences is proposed. In particular such an approach can lead to a significant improvement in fidelity as compared to a strictly periodic control sequence. Moreover we analyze the decoherence impact, the relation to the filter for classical noise known from dynamical decoupling sequences, and we outline how an alternating sequence can improve spin sensing protocols.

10 pages, 4 figures

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Cited by in corpus (10)

• Quantum sensing
• Robust Dynamical Decoupling Sequences for Individual Nuclear Spin Addressing
• Single-Shot Readout of a Nuclear Spin Weakly Coupled to a Nitrogen-Vacancy Center
• Positioning Nuclear Spins in Interacting Clusters for Quantum Technologies and Bio-imaging
• Angstrom-resolution magnetic resonance imaging of single molecules via wavefunction fingerprints of nuclear spins
• The non-vanishing effect of detuning errors in dynamical decoupling based quantum sensing experiments
• Proposal for Quantum Sensing Based on Two-Dimensional Dynamical Decoupling: NMR Correlation Spectroscopy of Single Molecules
• Unambiguous nuclear spin detection using engineered quantum sensing sequence
• Atomic-scale positioning of single spins via multiple nitrogen-vacancy centers
• Towards quantum error correction with two-body gates for quantum registers based on nitrogen-vacancy centers in diamond