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Demonstration of a non-Abelian geometric controlled-Not gate in a superconducting circuit | | Kai Xu
; Wen Ning
; Xin-Jie Huang
; Pei-Rong Han
; Hekang Li
; Zhen-Biao Yang
; Dongning Zheng
; Heng Fan
; Shi-Biao Zheng
; | | Date: |
8 Sep 2020 | | Abstract: | Holonomies, arising from non-Abelian geometric transformations of quantum
states in Hilbert space, offer a promising way for quantum computation. The
non-community of these holonomies renders them suitable for realization of a
universal set of quantum logic gates, while the global geometric feature may
result in some noise-resilient advantages. Here we report on the first on-chip
realization of the non-Abelian geometric controlled-Not gate, which is a
buidling 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. The combination of the present gate and previously demonstrated
holonomic single-qubit operations represents an all-holonomic approach to
scalable quantum computation on a superconducting platform. | | Source: | arXiv, 2009.03610 | | Services: | Forum | Review | PDF | Favorites | |
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