Please use this identifier to cite or link to this item: https://doi.org/10.22331/Q-2020-05-28-272
Title: Scaling of variational quantum circuit depth for condensed matter systems
Authors: Bravo-Prieto, C.
Lumbreras-Zarapico, J.
Tagliacozzo, L.
Latorre, J.I. 
Issue Date: 28-May-2020
Publisher: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
Citation: Bravo-Prieto, C., Lumbreras-Zarapico, J., Tagliacozzo, L., Latorre, J.I. (2020-05-28). Scaling of variational quantum circuit depth for condensed matter systems. Quantum 4. ScholarBank@NUS Repository. https://doi.org/10.22331/Q-2020-05-28-272
Rights: Attribution 4.0 International
Abstract: We benchmark the accuracy of a variational quantum eigensolver based on a finite-depth quantum circuit encoding ground state of local Hamiltonians. We show that in gapped phases, the accuracy improves exponentially with the depth of the circuit. When trying to encode the ground state of conformally invariant Hamiltonians, we observe two regimes. A finite-depth regime, where the accuracy improves slowly with the number of layers, and a finite-size regime where it improves again exponentially. The cross-over between the two regimes happens at a critical number of layers whose value increases linearly with the size of the system. We discuss the implication of these observations in the context of comparing different variational ansatz and their effectiveness in describing critical ground states. © 2020 Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften. All rights reserved.
Source Title: Quantum
URI: https://scholarbank.nus.edu.sg/handle/10635/198799
ISSN: 2521327X
DOI: 10.22331/Q-2020-05-28-272
Rights: Attribution 4.0 International
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