Classical Simulation of Noiseless Quantum Dynamics without Randomness
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866912840792670208 |
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| author | Xu, Jue Zhao, Chu Zhang, Xiangran Zhu, Shuchen Zhao, Qi |
| author_facet | Xu, Jue Zhao, Chu Zhang, Xiangran Zhu, Shuchen Zhao, Qi |
| contents | Simulating noiseless quantum dynamics classically faces a fundamental dilemma: tensor-network methods become inefficient as entanglement saturates, while Pauli-truncation approaches typically rely on noise or randomness. To close the gap, we propose the Low-weight Pauli Dynamics (LPD) algorithm that efficiently approximates local observables for short-time dynamics in the absence of noise. We prove that the truncation error admits an average-case bound without assuming randomness, provided that the state is sufficiently entangled. Counterintuitively, entanglement--usually an obstacle for classical simulation--alleviates classical simulation error. We further show that such entangled states can be generated either by tensor-network classical simulation or near-term quantum devices. Our results establish a rigorous synergy between existing classical simulation methods and provide a complementary route to quantum simulation that reduces circuit depth for long-time dynamics, thereby extending the accessible regime of quantum dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15770 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Classical Simulation of Noiseless Quantum Dynamics without Randomness Xu, Jue Zhao, Chu Zhang, Xiangran Zhu, Shuchen Zhao, Qi Quantum Physics Simulating noiseless quantum dynamics classically faces a fundamental dilemma: tensor-network methods become inefficient as entanglement saturates, while Pauli-truncation approaches typically rely on noise or randomness. To close the gap, we propose the Low-weight Pauli Dynamics (LPD) algorithm that efficiently approximates local observables for short-time dynamics in the absence of noise. We prove that the truncation error admits an average-case bound without assuming randomness, provided that the state is sufficiently entangled. Counterintuitively, entanglement--usually an obstacle for classical simulation--alleviates classical simulation error. We further show that such entangled states can be generated either by tensor-network classical simulation or near-term quantum devices. Our results establish a rigorous synergy between existing classical simulation methods and provide a complementary route to quantum simulation that reduces circuit depth for long-time dynamics, thereby extending the accessible regime of quantum dynamics. |
| title | Classical Simulation of Noiseless Quantum Dynamics without Randomness |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2601.15770 |