Quantum computation of a quasiparticle band structure with the quantum-selected configuration interaction

• URL: http://arxiv.org/abs/2504.00309v1
• Date: Tue, 01 Apr 2025 00:25:19 GMT
• Title: Quantum computation of a quasiparticle band structure with the quantum-selected configuration interaction
• Authors: Takahiro Ohgoe, Hokuto Iwakiri, Kazuhide Ichikawa, Sho Koh, Masaya Kohda,
• Abstract summary: We propose a hybrid approach that combines the quantum subspace expansion (QSE) method with the quantum-selected configuration interaction (QSCI) method for calculating quasiparticle band structures.<n>We demonstrate the quantum computation of the quasiparticle band structure of a silicon using 16 qubits on an IBM quantum processor.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quasiparticle band structures are fundamental for understanding strongly correlated electron systems. While solving these structures accurately on classical computers is challenging, quantum computing offers a promising alternative. Specifically, the quantum subspace expansion (QSE) method, combined with the variational quantum eigensolver (VQE), provides a quantum algorithm for calculating quasiparticle band structures. However, optimizing the variational parameters in VQE becomes increasingly difficult as the system size grows, due to device noise, statistical noise, and the barren plateau problem. To address these challenges, we propose a hybrid approach that combines QSE with the quantum-selected configuration interaction (QSCI) method for calculating quasiparticle band structures. QSCI may leverage the VQE ansatz as an input state but, unlike the standard VQE, it does not require full optimization of the variational parameters, making it more scalable for larger quantum systems. Based on this approach, we demonstrate the quantum computation of the quasiparticle band structure of a silicon using 16 qubits on an IBM quantum processor.

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