TY - JOUR
T1 - Finite-depth scaling of infinite quantum circuits for quantum critical points
AU - Jobst, Bernhard
AU - Smith, Adam
AU - Pollmann, Frank
N1 - Publisher Copyright:
© 2022 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
PY - 2022/7
Y1 - 2022/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85136893972&partnerID=8YFLogxK
U2 - 10.1103/PhysRevResearch.4.033118
DO - 10.1103/PhysRevResearch.4.033118
M3 - Article
AN - SCOPUS:85136893972
SN - 2643-1564
VL - 4
JO - Physical Review Research
JF - Physical Review Research
IS - 3
M1 - 033118
ER -