26 July 2026 to 1 August 2026
University of Maryland, College Park
US/Eastern timezone

Analyzing the entanglement property of Clifford-circuits augmented MPS

28 Jul 2026, 15:00
20m
Margaret Brent A (Adele H. Stamp Student Union)

Margaret Brent A

Adele H. Stamp Student Union

3972 Campus Dr, College Park, MD 20742
Contributed talk Quantum computing and quantum information Quantum computing and quantum information

Speaker

Akira Matsumoto (Graduate School of Science, Osaka Metropolitan University)

Description

Clifford circuit is a special type of quantum circuit that can generate entanglement states while remaining easily simulable on classical computers. Recently, Clifford-circuits augmented MPS (CAMPS) has been proposed, which consists of the Clifford circuit and matrix product state (MPS). The CAMPS can describe strongly entangled states with smaller bond dimensions than the ordinary MPS. In this work, we implement the CAMPS version of the density-matrix renormalization group (DMRG) algorithm as a library applicable to general spin-1/2 systems. We test the performance of the algorithm in various spin models and confirm that the Clifford circuit reduces the entanglement entropy of MPS. The Clifford circuit automatically obtained by the algorithm describes a nontrivial unitary transformation into a dual model, such as a unitary analogue of the Kramers-Wannier duality. We also discuss potential applications to gauge theories, not only in 1+1 but also in 2+1 dimensions.

Author

Akira Matsumoto (Graduate School of Science, Osaka Metropolitan University)

Co-author

Prof. Kouichi Okunishi (Graduate School of Science, Osaka Metropolitan University)

Presentation materials