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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.15955 |
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| _version_ | 1866915404024119296 |
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| author | Marqversen, Frederik K. Michelsen, Andreas B. Wesenberg, Janus H. Zinner, Nikolaj T. |
| author_facet | Marqversen, Frederik K. Michelsen, Andreas B. Wesenberg, Janus H. Zinner, Nikolaj T. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15955 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Impact of finite squeezing on near-term quantum computations using GKP qubits Marqversen, Frederik K. Michelsen, Andreas B. Wesenberg, Janus H. Zinner, Nikolaj T. Quantum Physics 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. |
| title | Impact of finite squeezing on near-term quantum computations using GKP qubits |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2507.15955 |