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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Bibliographic Details
Published in:Physical review research Vol. 6; no. 3; p. 033107
Main Authors: Chowdhury, Talal Ahmed, Yu, Kwangmin, Shamim, Mahmud Ashraf, Kabir, M. L., Sufian, Raza Sabbir
Format: Journal Article
Language:English
Published: United States American Physical Society (APS) 25.07.2024
American Physical Society
Subjects:
MATHEMATICS AND COMPUTING
quantum algorithms & computation
quantum simulation
ISSN:2643-1564, 2643-1564
Online Access:Get full text
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Summary: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.
Bibliography: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