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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.12054 |
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| _version_ | 1866915960378621952 |
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| author | Brillant, Antoine Rajmohan, Rohan N Groszkowski, Peter Seif, Alireza Koch, Jens Clerk, Aashish |
| author_facet | Brillant, Antoine Rajmohan, Rohan N Groszkowski, Peter Seif, Alireza Koch, Jens Clerk, Aashish |
| contents | Randomized compiling (RC) is an established tool to tailor arbitrary quantum noise channels into Pauli errors. The effect of both spatial and temporal noise correlations in randomly compiled circuits, however, is not fully understood. Here, we show that for a broad class of correlated Gaussian noise, RC reduces both the strength and temporal range of correlations. For Clifford circuits, we derive a simple analytical expression for the circuit fidelity of randomly compiled circuits. Surprisingly, we show that this fidelity is always increased by the presence of correlations, suggesting that correlations are a resource in randomly compiled circuits. To leading order in system-bath coupling, we also show that RC suppresses the quantum component of bath correlations, implying that one can safely treat weak noise as being classical. Finally, through extensive numerical simulations, we show that our results remain valid for many relevant non-Clifford circuits. These results clarify how RC mitigates memory effects and enhances circuit robustness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_12054 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Noise Correlations as a Resource in Pauli-Twirled Circuits Brillant, Antoine Rajmohan, Rohan N Groszkowski, Peter Seif, Alireza Koch, Jens Clerk, Aashish Quantum Physics Randomized compiling (RC) is an established tool to tailor arbitrary quantum noise channels into Pauli errors. The effect of both spatial and temporal noise correlations in randomly compiled circuits, however, is not fully understood. Here, we show that for a broad class of correlated Gaussian noise, RC reduces both the strength and temporal range of correlations. For Clifford circuits, we derive a simple analytical expression for the circuit fidelity of randomly compiled circuits. Surprisingly, we show that this fidelity is always increased by the presence of correlations, suggesting that correlations are a resource in randomly compiled circuits. To leading order in system-bath coupling, we also show that RC suppresses the quantum component of bath correlations, implying that one can safely treat weak noise as being classical. Finally, through extensive numerical simulations, we show that our results remain valid for many relevant non-Clifford circuits. These results clarify how RC mitigates memory effects and enhances circuit robustness. |
| title | Noise Correlations as a Resource in Pauli-Twirled Circuits |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2603.12054 |