A Flexible GKP-State-Embedded Fault-Tolerant Quantum Computation Configuration Based on a Three-Dimensional Cluster State

• URL: http://arxiv.org/abs/2603.18778v1
• Date: Thu, 19 Mar 2026 11:30:50 GMT
• Title: A Flexible GKP-State-Embedded Fault-Tolerant Quantum Computation Configuration Based on a Three-Dimensional Cluster State
• Abstract summary: We propose a flexible Gottesman-Kitaev-Preskill-state-embedded fault-tolerant quantum computation architecture.<n>Specifically, we design optical entanglement generators to produce three diverse entangled pairs.<n>We present a partially squeezed surface-GKP code to achieve fault-tolerant quantum computation.
• Score: 6.901147498661532
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The integration of diverse quantum resources and the exploitation of more degrees of freedom provide key operational flexibility for universal fault-tolerant quantum computation. In this work, we propose a flexible Gottesman-Kitaev-Preskill-state-embedded fault-tolerant quantum computation architecture based on a three-dimensional cluster state constructed in polarization, frequency, and orbital angular momentum domains. Specifically, we design optical entanglement generators to produce three diverse entangled pairs, and subsequently construct a three-dimensional cluster state via a beam-splitter network with several time delays. Furthermore, we present a partially squeezed surface-GKP code to achieve fault-tolerant quantum computation and ultimately find the optimal choice of implementing the squeezing gate to give the best fault-tolerant performance (the fault-tolerant squeezing threshold is 11.5 dB). Our scheme is flexible, scalable, and experimentally feasible, providing versatile options for future optical fault-tolerant quantum computation architecture.

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