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arXiv · 2507.15955

Impact of finite squeezing on near-term quantum computations using GKP qubits

Frederik K. Marqversen·Andreas B. Michelsen·Janus H. Wesenberg·Nikolaj T. Zinner
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Abstract

We present the first detailed simulation of a measurement based quantum computation based on Gottesman-Kitaev-Preskill (GKP) qubits within a quad-rail lattice (QRL) cluster state involving over 100 GKP modes. This was enabled by the recently developed functional matrix product states (FMPS) framework, with which we simulate continuous-variable (CV) quantum circuits while explicitly modelling intrinsic coherent error sources due to finite squeezing. We perform simulated randomised benchmarking across squeezing levels between 5 and 15 dB and find strong agreement with analytical estimates for high quality GKP qubits. As a demonstration of practical computation, we simulate a three-qubit Grover's algorithm within the QRL and identify a fundamental squeezing threshold -- approximately 10 dB -- beyond which the algorithm outperforms classical probability bounds.

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Frederik K. Marqversen, Andreas B. Michelsen, Janus H. Wesenberg, Nikolaj T. Zinner. 2025-07-21. Impact of finite squeezing on near-term quantum computations using GKP qubits. https://arxiv.org/abs/2507.15955

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