Time optimal holonomic quantum computation

• URL: http://arxiv.org/abs/2206.06502v2
• Date: Mon, 12 Sep 2022 05:21:35 GMT
• Title: Time optimal holonomic quantum computation
• Authors: Gabriel O. Alves, Erik Sj\"oqvist
• Abstract summary: A three-level system can be used to construct a universal set of quantum gates. This construction allows for high-speed operation times which diminish the effects of decoherence. We investigate the trade-off between dissipative effects and the RWA validity, obtaining the optimal regime for the operation of the holonomic quantum gates.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A three-level system can be used in a $\Lambda$-type configuration in order to construct a universal set of quantum gates through the use of non-Abelian non-adiabatic geometrical phases. Such construction allows for high-speed operation times which diminish the effects of decoherence. This might be, however, accompanied by a breakdown of the validity of the rotating wave approximation (RWA) due to the comparable time scale between counter-rotating terms and the pulse length, which greatly affects the dynamics. Here, we investigate the trade-off between dissipative effects and the RWA validity, obtaining the optimal regime for the operation of the holonomic quantum gates.

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