# name
Scaling of variational quantum circuit depth for condensed matter systems

# metadata.dc.description.abstract[].value
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.

# metadata.dc.publisher[].value
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften

# metadata.dc.rights[].value
cc-by (c) Bravo Prieto, Carlos et al., 2020

# metadata.dc.source[].value
Articles publicats en revistes (Física Quàntica i Astrofísica)

# metadata.dc.title[].value
Scaling of variational quantum circuit depth for condensed matter systems