SQAI-NCTS Joint Workshop 2026

Transfer-Matrix Calculations for Classical Spin Systems Using Clifford-Augmented Matrix Product States

26 Aug 2026, 12:20

1h 40m

Multipurpose Room 3, Kyoseikan (Hiyoshi Campus, Keio University, Yokohama, Japan)

Board: 6

Poster Presentation Poster

Speaker

Shoichiro Kado (Graduate School of Informatics, Kyoto university)

Description

Clifford-augmented matrix product states (CAMPS), which combine a Clifford circuit with a matrix product state (MPS), have recently been introduced as an efficient framework for quantum many-body simulations. In this work, we extend the CAMPS framework to transfer-matrix calculations for classical spin systems by exploiting the quantum–classical correspondence. We investigate the extent to which Clifford disentangling can reduce the bond dimension required for accurate computation of classical partition functions. We present benchmark results comparing the free-energy accuracy and the required bond dimensions of the CAMPS-based approach with those of conventional MPS-based transfer-matrix methods.