Enhancing quantum utility: Simulating large-scale quantum spin chains on superconducting quantum computers

Chowdhury, Talal Ahmed; Yu, Kwangmin; Shamim, Mahmud Ashraf; Kabir, M. L.; Sufian, Raza Sabbir

doi:10.1103/PhysRevResearch.6.033107

Title: Enhancing quantum utility: Simulating large-scale quantum spin chains on superconducting quantum computers

Journal Article · 24 July 2024 · Physical Review Research

DOI: https://doi.org/10.1103/PhysRevResearch.6.033107 · OSTI ID:2406509

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We present the quantum simulation of the frustrated quantum spin- $\frac{1}{2}$ 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. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-05CH11231; SC0012704; AC05-00OR22725

OSTI ID:: 2406509

Alternate ID(s):: OSTI ID: 2446624

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Journal Issue: 3 Vol. 6; ISSN PPRHAI; ISSN 2643-1564

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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