Error-mitigated quantum computing of Heisenberg spin chain dynamics. (1st March 2023)

• Record Type: Journal Article
• Authors: Lötstedt, Erik; Wang, Lidong; Yoshida, Ryuhei; Zhang, Youyuan; Yamanouchi, Kaoru
• Is Part Of: Physica scripta. Volume 98:Number 3(2023)
• Publication Date: 2023-03-01
• Subjects: quantum computing -- error mitigation -- Heisenberg spin chain -- time-dependent simulation; Physics -- Periodicals; 530.05
• DOI: 10.1088/1402-4896/acbcac
• Languages: English
• ISSNs: 0031-8949

Abstract

Abstract: We simulate the time-dependent dynamics of a three-site spin chain described by the Heisenberg XXX Hamiltonian. The quantum circuit representing the time-dependent wave function is constructed using the Suzuki-Trotter approximation, and is executed on the quantum computer ibm _ kawasaki . At each time step, the density matrix of the three-qubit state is reconstructed by state tomography. By applying four different mitigation methods, Clifford data regression, Pauli twirling, density matrix purification, and density matrix orthogonalization, we demonstrate that accurate time-dependent populations and density matrices can be calculated on noisy superconducting-qubit type quantum computers.