Demonstration of a non-Abelian geometric controlled-NOT gate in a superconducting circuit
- 28 June 2021
- journal article
- research article
- Published by Optica Publishing Group in Optica
- Vol. 8 (7), 972-976
- https://doi.org/10.1364/optica.416264
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, to our knowledge, 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.Keywords
Funding Information
- National Natural Science Foundation of China (11674060, 11874114, 11875108, 11904393, 11934018, 92065114)
- The Strategic Priority Research Program of Chinese Academy of Sciences (XDB28000000)
- Beijing Municipal Natural Science Foundation (Z200009)
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