Finite-depth scaling of infinite quantum circuits for quantum critical points

Jobst, Bernhard; Smith, Adam; Pollmann, Frank

Abstract

The scaling of the entanglement entropy at a quantum critical point allows us to extract universal properties of the state, e.g., the central charge of a conformal field theory. With the rapid improvement of noisy intermediate-scale quantum (NISQ) devices, these quantum computers present themselves as a powerful tool to study critical many-body systems. We use finite-depth quantum circuits suitable for NISQ devices as a variational ansatz to represent ground states of critical, infinite systems. We find universal finite-depth scaling relations for these circuits and verify them numerically at two different critical points, i.e., the critical Ising model with an additional symmetry-preserving term and the critical XXZ model.

Citation

Jobst, B., Smith, A., & Pollmann, F. (2022). Finite-depth scaling of infinite quantum circuits for quantum critical points. Physical Review Research, 4(3), Article 033118. https://doi.org/10.1103/PhysRevResearch.4.033118

• Journal Article Type: Article
• Acceptance Date: Jun 1, 2022
• Online Publication Date: Aug 11, 2022
• Publication Date: Aug 11, 2022
• Deposit Date: Aug 24, 2022
• Publicly Available Date: Aug 24, 2022
• Journal: Physical Review Research
• Electronic ISSN: 2643-1564
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 4
• Issue: 3
• Article Number: 033118
• DOI: https://doi.org/10.1103/PhysRevResearch.4.033118
• Keywords: General Physics and Astronomy
• Public URL: https://nottingham-repository.worktribe.com/output/9906672
• Publisher URL: https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.4.033118