Optical holonomic single quantum gates with a geometric spin under a zero field

Realization of fast fault-tolerant quantum gates on a single spin is the core requirement for solid-state quantum-information processing. As polarized light shows geometric interference, spin coherence is also geometrically controlled with light via the spin-orbit interaction. Here, we show that a g...

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Bibliographic Details
Published in:arXiv.org 2017-10
Main Authors: Sekiguchi, Yuhei, Niikura, Naeko, Kuroiwa, Ryota, Kano, Hiroki, Kosaka, Hideo
Format: Article
Language:English
Subjects:
Data processing
Diamonds
Electron spin
Fault tolerance
Gates
Polarized light
Quantum computers
Repeaters
Spin-orbit interactions
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Summary:Realization of fast fault-tolerant quantum gates on a single spin is the core requirement for solid-state quantum-information processing. As polarized light shows geometric interference, spin coherence is also geometrically controlled with light via the spin-orbit interaction. Here, we show that a geometric spin in a degenerate subspace of a spin-1 electronic system under a zero field in a nitrogen vacancy center in diamond allows implementation of optical non-adiabatic holonomic quantum gates. The geometric spin under quasi-resonant light exposure undergoes a cyclic evolution in the spin-orbit space, and acquires a geometric phase or holonomy that results in rotations about an arbitrary axis by any angle defined by the light polarization and detuning. This enables universal holonomic quantum gates with a single operation. We demonstrate a complete set of Pauli quantum gates using the geometric spin preparation and readout techniques. The new scheme opens a path to holonomic quantum computers and repeaters.
ISSN:2331-8422
DOI:10.48550/arxiv.1710.04885