Describing Trotterized Time Evolutions on Noisy Quantum Computers via Static Effective Lindbladians
| Autor: | Fratus, Keith R., Bark, Kirsten, Vogt, Nicolas, Leppäkangas, Juha, Zanker, Sebastian, Marthaler, Michael, Reiner, Jan-Michael |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | We consider the extent to which a noisy quantum computer is able to simulate the time evolution of a quantum spin system in a faithful manner. Given a specific set of assumptions regarding the manner in which noise acting on such a device can be modelled at the circuit level, we show how the effects of noise can be reinterpreted as a modification to the dynamics of the original system being simulated. In particular, we find that this modification corresponds to the introduction of static Lindblad noise terms, which act in addition to the original unitary dynamics. The form of these noise terms depends not only on the underlying noise processes occurring on the device, but also on the original unitary dynamics, as well as the manner in which these dynamics are simulated on the device, i.e., the choice of quantum algorithm. We call this effectively simulated open quantum system the noisy algorithm model. Our results are confirmed through numerical analysis. Comment: 13 pages, 11 figures main text; 3 pages, 2 figures appendix. This updated version removes two of the previous appendices, with the submission arXiv:2311.00135 now addressing these ideas in their own separate article. This version also contains some clarifying remarks, some notational changes, and some minor corrections, as well as a new subsection considering the case of gate cancellation |
| Databáze: | arXiv |
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