A complete continuous-variable quantum computation architecture based on the 2D spatiotemporal cluster state

• URL: http://arxiv.org/abs/2312.13877v4
• Date: Thu, 24 Oct 2024 12:39:19 GMT
• Title: A complete continuous-variable quantum computation architecture based on the 2D spatiotemporal cluster state
• Authors: Peilin Du, Jing Zhang, Tiancai Zhang, Rongguo Yang, Jiangrui Gao,
• Abstract summary: Continuous repetition-based quantum computation is a promising candidate for practical, scalable, universal, and fault-tolerant quantum computation. In this work, a complete architecture including cluster state preparation, gate implementations, and error correction is demonstrated.
• Score: 5.00127829918438
• License:
• Abstract: Continuous-variable measurement-based quantum computation, which requires deterministically generated large-scale cluster state, is a promising candidate for practical, scalable, universal, and fault-tolerant quantum computation. In this work, based on our compact and scalable scheme of generating a two-dimensional spatiotemporal cluster state, a complete architecture including cluster state preparation, gate implementations, and error correction, is demonstrated. First, a scheme for generating two-dimensional large-scale continuous-variable cluster state by multiplexing both the temporal and spatial domains is proposed. Then, the corresponding gate implementations for universal quantum computation by gate teleportation are discussed and the actual gate noise from the generated cluster state is considered. After that, the quantum error correction can be further achieved by utilizing the square-lattice Gottesman-Kitaev-Preskill (GKP) code. Finally, a fault-tolerant quantum computation can be realized by introducing bias into the square-lattice GKP code (to protect against phase-flip errors) and concatenating a repetition code (to handle the residual bit-flip errors), with a squeezing threshold of 12.3 dB. Our work provides a possible option for a complete fault-tolerant quantum computation architecture in the future.

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