Enhancing quantum utility: Simulating large-scale quantum spin chains on superconducting quantum computers
We present the quantum simulation of the frustrated quantum spin- 1 2 antiferromagnetic Heisenberg spin chain with competing nearest-neighbor ( J 1 ) and next-nearest-neighbor ( J 2 ) exchange interactions in the real superconducting quantum computer with qubits ranging up to 100. In particular, we...
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| Vydáno v: | Physical review research Ročník 6; číslo 3; s. 033107 |
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| Hlavní autoři: | , , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
United States
American Physical Society (APS)
25.07.2024
American Physical Society |
| Témata: | |
| ISSN: | 2643-1564, 2643-1564 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | We present the quantum simulation of the frustrated quantum spin-
1
2
antiferromagnetic Heisenberg spin chain with competing nearest-neighbor
(
J
1
)
and next-nearest-neighbor
(
J
2
)
exchange interactions in the real superconducting quantum computer with qubits ranging up to 100. In particular, we implement the Hamiltonian with the next-nearest neighbor exchange interaction in conjunction with the nearest-neighbor interaction on IBM's superconducting quantum computer and carry out the time evolution of the spin chain by employing the first-order Trotterization. Furthermore, our implementation of the second-order Trotterization for the isotropic Heisenberg spin chain, involving only nearest-neighbor exchange interaction, enables precise measurement of the expectation values of staggered magnetization observable across a range of up to 100 qubits. Notably, in both cases, our approach results in a constant circuit depth in each Trotter step, independent of the number of qubits. Our demonstration of the accurate measurement of expectation values for the large-scale quantum system using superconducting quantum computers designates the quantum utility of these devices for investigating various properties of many-body quantum systems. This will be a stepping stone to achieving the quantum advantage over classical ones in simulating quantum systems before the fault tolerance quantum era. |
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| Bibliografie: | USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) BNL-226105-2024-JAAM USDOE Laboratory Directed Research and Development (LDRD) Program SC0012704; AC05-00OR22725; AC02-05CH11231; DDR-ERCAP0024165; DDR-ERCAP0028999; #24-061 |
| ISSN: | 2643-1564 2643-1564 |
| DOI: | 10.1103/PhysRevResearch.6.033107 |