Demonstration of a non-Abelian geometric controlled-Not gate in a superconducting circuit

• URL: http://arxiv.org/abs/2009.03610v3
• Date: Sun, 27 Jun 2021 02:41:00 GMT
• Title: Demonstration of a non-Abelian geometric controlled-Not gate in a superconducting circuit
• Authors: Kai Xu, Wen Ning, Xin-Jie Huang, Pei-Rong Han, Hekang Li, Zhen-Biao Yang, Dongning Zheng, Heng Fan, Shi-Biao Zheng
• Abstract summary: We report the first on-chip realization of a non-Abelian geometric controlled-Not gate in a superconducting circuit. This gate represents an important step towards the all-geometric realization of scalable quantum computation on a superconducting platform.
• Score: 14.11575652583778
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Holonomies, arising from non-Abelian geometric transformations of quantum states in Hilbert space, offer a promising way for quantum computation. These holonomies are not commutable and thus can be used for the realization of a universal set of quantum logic gates, where the global geometric feature may result in some noise-resilient advantages. Here we report the first on-chip realization of a non-Abelian geometric controlled-Not gate in a superconducting circuit, which is a building block for constructing a holonomic quantum computer. The conditional dynamics is achieved in an all-to-all connected architecture involving multiple frequency-tunable superconducting qubits controllably coupled to a resonator; a holonomic gate between any two qubits can be implemented by tuning their frequencies on resonance with the resonator and applying a two-tone drive to one of them. This gate represents an important step towards the all-geometric realization of scalable quantum computation on a superconducting platform.

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