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

Jobst, Bernhard; Smith, Adam; Pollmann, Frank


Bernhard Jobst

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Assistant Professor

Frank Pollmann


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.


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.

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
Keywords General Physics and Astronomy
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