Dynamics of Symmetry-Protected Topological Matter on a Quantum Computer
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917745490132992 |
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| author | Mercado, Miguel Chen, Kyle Darekar, Parth Nakano, Aiichiro Di Felice, Rosa Haas, Stephan |
| author_facet | Mercado, Miguel Chen, Kyle Darekar, Parth Nakano, Aiichiro Di Felice, Rosa Haas, Stephan |
| contents | Control of topological edge modes is desirable for encoding quantum information resiliently against external noise. Their implementation on quantum hardware, however, remains a long-standing problem due to current limitations of circuit depth and noise, which grows with the number of time steps. By utilizing recently developed constant-depth quantum circuits in which the circuit depth is independent of time, we demonstrate successful long-time dynamics simulation of bulk and surface modes in topological insulators on noisy intermediate-scale quantum (NISQ) processors, which exhibits robust signatures of localized topological modes. We further identify a class of one-dimensional topological Hamiltonians that can be readily simulated with NISQ hardware. Our results provide a pathway towards stable long-time implementation of topological quantum spin systems on present day quantum processors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12661 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamics of Symmetry-Protected Topological Matter on a Quantum Computer Mercado, Miguel Chen, Kyle Darekar, Parth Nakano, Aiichiro Di Felice, Rosa Haas, Stephan Quantum Physics Mesoscale and Nanoscale Physics Strongly Correlated Electrons Computational Physics Control of topological edge modes is desirable for encoding quantum information resiliently against external noise. Their implementation on quantum hardware, however, remains a long-standing problem due to current limitations of circuit depth and noise, which grows with the number of time steps. By utilizing recently developed constant-depth quantum circuits in which the circuit depth is independent of time, we demonstrate successful long-time dynamics simulation of bulk and surface modes in topological insulators on noisy intermediate-scale quantum (NISQ) processors, which exhibits robust signatures of localized topological modes. We further identify a class of one-dimensional topological Hamiltonians that can be readily simulated with NISQ hardware. Our results provide a pathway towards stable long-time implementation of topological quantum spin systems on present day quantum processors. |
| title | Dynamics of Symmetry-Protected Topological Matter on a Quantum Computer |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Strongly Correlated Electrons Computational Physics |
| url | https://arxiv.org/abs/2402.12661 |