The quantum adiabatic algorithm suppresses the proliferation of errors
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929326083014656 |
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| author | Schiffer, Benjamin F. Rubio, Adrian Franco Trivedi, Rahul Cirac, J. Ignacio |
| author_facet | Schiffer, Benjamin F. Rubio, Adrian Franco Trivedi, Rahul Cirac, J. Ignacio |
| contents | The propagation of errors severely compromises the reliability of quantum computations. The quantum adiabatic algorithm is a physically motivated method to prepare ground states of classical and quantum Hamiltonians. Here, we analyze the proliferation of a single error event in the adiabatic algorithm. We give numerical evidence using tensor network methods that the intrinsic properties of adiabatic processes effectively constrain the amplification of errors during the evolution for geometrically local Hamiltonians. Our findings indicate that low energy states could remain attainable even in the presence of a single error event, which contrasts with results for error propagation in typical quantum circuits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15397 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The quantum adiabatic algorithm suppresses the proliferation of errors Schiffer, Benjamin F. Rubio, Adrian Franco Trivedi, Rahul Cirac, J. Ignacio Quantum Physics Statistical Mechanics Strongly Correlated Electrons Atomic Physics The propagation of errors severely compromises the reliability of quantum computations. The quantum adiabatic algorithm is a physically motivated method to prepare ground states of classical and quantum Hamiltonians. Here, we analyze the proliferation of a single error event in the adiabatic algorithm. We give numerical evidence using tensor network methods that the intrinsic properties of adiabatic processes effectively constrain the amplification of errors during the evolution for geometrically local Hamiltonians. Our findings indicate that low energy states could remain attainable even in the presence of a single error event, which contrasts with results for error propagation in typical quantum circuits. |
| title | The quantum adiabatic algorithm suppresses the proliferation of errors |
| topic | Quantum Physics Statistical Mechanics Strongly Correlated Electrons Atomic Physics |
| url | https://arxiv.org/abs/2404.15397 |