A Computation-Enhanced High-Dimensional Quantum Gate for Silicon-Vacancy Spins

• URL: http://arxiv.org/abs/2409.11757v1
• Date: Wed, 18 Sep 2024 07:24:29 GMT
• Title: A Computation-Enhanced High-Dimensional Quantum Gate for Silicon-Vacancy Spins
• Authors: Gang Fan, Fang-Fang Du,
• Abstract summary: Qudit-based quantum gates in high-dimensional Hilbert space can provide a viable route towards effectively accelerating the speed of quantum computing. We propose a 2-qudit $4times4$-dimensional controlled-not (CNOT) gate for four silicon-vacancy spins.
• Score: 1.342834401139078
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Qudit-based quantum gates in high-dimensional Hilbert space can provide a viable route towards effectively accelerating the speed of quantum computing and performing complex quantum logic operations. In the paper, we propose a 2-qudit $4\times4$-dimensional controlled-not (CNOT) gate for four silicon-vacancy spins, in which the first two electron-spin states in silicon-vacancy centers are encoded as the control qudits, and the other ones as the target qudits. The proposed protocol is implemented with assistance of an ancillary photon that serves as a common-data bus linking four motionless silicon-vacancy spins placed in four independent single-sided optical nanocavities. Moreover, the CNOT gate works in a deterministic manner by performing the relational feed-forward operations corresponding to the diverse outcomes of the single-photon detectors to be directed against the ancillary photon. Further, it can be potentially generalized to other solid-state quantum system. Under current technological conditions, both the efficiency and fidelity of the 2-qudit CNOT gate are high.

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