Fragmented imaginary-time evolution for early-stage quantum signal processors
Simulating quantum imaginary-time evolution (QITE) is a significant promise of quantum computation. However, the known algorithms are either probabilistic (repeat until success) with unpractically small success probabilities or coherent (quantum amplitude amplification) with circuit depths and ancil...
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| Published in | Scientific reports Vol. 13; no. 1; pp. 18258 - 19 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
London
Nature Publishing Group UK
25.10.2023
Nature Publishing Group Nature Portfolio |
| Subjects | |
| Online Access | Get full text |
| ISSN | 2045-2322 2045-2322 |
| DOI | 10.1038/s41598-023-45540-2 |
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| Abstract | Simulating quantum imaginary-time evolution (QITE) is a significant promise of quantum computation. However, the known algorithms are either probabilistic (repeat until success) with unpractically small success probabilities or coherent (quantum amplitude amplification) with circuit depths and ancillary-qubit numbers unrealistically large in the mid-term. Our main contribution is a new generation of deterministic, high-precision QITE algorithms that are significantly more amenable experimentally. A surprisingly simple idea is behind them: partitioning the evolution into a sequence of fragments that are run probabilistically. It causes a considerable reduction in wasted circuit depth every time a run fails. Remarkably, the resulting overall runtime is asymptotically better than in coherent approaches, and the hardware requirements are even milder than in probabilistic ones. Our findings are especially relevant for the early fault-tolerance stages of quantum hardware. |
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| AbstractList | Simulating quantum imaginary-time evolution (QITE) is a significant promise of quantum computation. However, the known algorithms are either probabilistic (repeat until success) with unpractically small success probabilities or coherent (quantum amplitude amplification) with circuit depths and ancillary-qubit numbers unrealistically large in the mid-term. Our main contribution is a new generation of deterministic, high-precision QITE algorithms that are significantly more amenable experimentally. A surprisingly simple idea is behind them: partitioning the evolution into a sequence of fragments that are run probabilistically. It causes a considerable reduction in wasted circuit depth every time a run fails. Remarkably, the resulting overall runtime is asymptotically better than in coherent approaches, and the hardware requirements are even milder than in probabilistic ones. Our findings are especially relevant for the early fault-tolerance stages of quantum hardware. Abstract Simulating quantum imaginary-time evolution (QITE) is a significant promise of quantum computation. However, the known algorithms are either probabilistic (repeat until success) with unpractically small success probabilities or coherent (quantum amplitude amplification) with circuit depths and ancillary-qubit numbers unrealistically large in the mid-term. Our main contribution is a new generation of deterministic, high-precision QITE algorithms that are significantly more amenable experimentally. A surprisingly simple idea is behind them: partitioning the evolution into a sequence of fragments that are run probabilistically. It causes a considerable reduction in wasted circuit depth every time a run fails. Remarkably, the resulting overall runtime is asymptotically better than in coherent approaches, and the hardware requirements are even milder than in probabilistic ones. Our findings are especially relevant for the early fault-tolerance stages of quantum hardware. Simulating quantum imaginary-time evolution (QITE) is a significant promise of quantum computation. However, the known algorithms are either probabilistic (repeat until success) with unpractically small success probabilities or coherent (quantum amplitude amplification) with circuit depths and ancillary-qubit numbers unrealistically large in the mid-term. Our main contribution is a new generation of deterministic, high-precision QITE algorithms that are significantly more amenable experimentally. A surprisingly simple idea is behind them: partitioning the evolution into a sequence of fragments that are run probabilistically. It causes a considerable reduction in wasted circuit depth every time a run fails. Remarkably, the resulting overall runtime is asymptotically better than in coherent approaches, and the hardware requirements are even milder than in probabilistic ones. Our findings are especially relevant for the early fault-tolerance stages of quantum hardware.Simulating quantum imaginary-time evolution (QITE) is a significant promise of quantum computation. However, the known algorithms are either probabilistic (repeat until success) with unpractically small success probabilities or coherent (quantum amplitude amplification) with circuit depths and ancillary-qubit numbers unrealistically large in the mid-term. Our main contribution is a new generation of deterministic, high-precision QITE algorithms that are significantly more amenable experimentally. A surprisingly simple idea is behind them: partitioning the evolution into a sequence of fragments that are run probabilistically. It causes a considerable reduction in wasted circuit depth every time a run fails. Remarkably, the resulting overall runtime is asymptotically better than in coherent approaches, and the hardware requirements are even milder than in probabilistic ones. Our findings are especially relevant for the early fault-tolerance stages of quantum hardware. |
| ArticleNumber | 18258 |
| Author | Aolita, Leandro Taddei, Márcio M. Silva, Thais L. Carrazza, Stefano |
| Author_xml | – sequence: 1 givenname: Thais L. surname: Silva fullname: Silva, Thais L. email: thaisdelimasilva@gmail.com organization: Quantum Research Centre, Technology Innovation Institute, Federal University of Rio de Janeiro – sequence: 2 givenname: Márcio M. surname: Taddei fullname: Taddei, Márcio M. organization: Federal University of Rio de Janeiro, ICFO - Institut de Ciencies Fotòniques, The Barcelona Institute of Science and Technology – sequence: 3 givenname: Stefano surname: Carrazza fullname: Carrazza, Stefano organization: Quantum Research Centre, Technology Innovation Institute, TIF Lab, Dipartimento di Fisica, Università degli Studi di Milano and INFN Sezione di Milano – sequence: 4 givenname: Leandro surname: Aolita fullname: Aolita, Leandro organization: Quantum Research Centre, Technology Innovation Institute, Federal University of Rio de Janeiro |
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| CitedBy_id | crossref_primary_10_1103_PhysRevLett_134_070604 crossref_primary_10_1103_PhysRevA_109_022423 crossref_primary_10_1103_PhysRevResearch_7_013254 crossref_primary_10_1038_s41534_024_00887_w crossref_primary_10_1038_s41598_023_45540_2 crossref_primary_10_1038_s41534_024_00883_0 crossref_primary_10_1103_PhysRevResearch_6_L022041 crossref_primary_10_1038_s41534_025_01003_2 crossref_primary_10_1103_PhysRevResearch_7_013306 crossref_primary_10_1088_2058_9565_ad53fb |
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| Snippet | Simulating quantum imaginary-time evolution (QITE) is a significant promise of quantum computation. However, the known algorithms are either probabilistic... Abstract Simulating quantum imaginary-time evolution (QITE) is a significant promise of quantum computation. However, the known algorithms are either... |
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| SubjectTerms | 639/766/259 639/766/483/2802 Algorithms Circuits Evolution Hilbert space Humanities and Social Sciences multidisciplinary Science Science (multidisciplinary) Success |
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| Title | Fragmented imaginary-time evolution for early-stage quantum signal processors |
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