Finite-depth scaling of infinite quantum circuits for quantum critical
points
- URL: http://arxiv.org/abs/2203.11975v2
- Date: Mon, 22 Aug 2022 20:42:36 GMT
- Title: Finite-depth scaling of infinite quantum circuits for quantum critical
points
- Authors: Bernhard Jobst, Adam Smith and Frank Pollmann
- Abstract summary: 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.
- Score: 0.5156484100374058
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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