arXiv Analytics

Sign in

arXiv:1707.08570 [hep-th]AbstractReferencesReviewsResources

Circuit complexity in quantum field theory

Robert A. Jefferson, Robert C. Myers

Published 2017-07-26Version 1

Motivated by recent studies of holographic complexity, we examine the question of circuit complexity in quantum field theory. We provide a quantum circuit model for the preparation of Gaussian states, in particular the ground state, in a free scalar field theory for general dimensions. Applying the geometric approach of Nielsen to this quantum circuit model, the complexity of the state becomes the length of the shortest geodesic in the space of circuits. We compare the complexity of the ground state of the free scalar field to the analogous results from holographic complexity, and find some surprising similarities.

Related articles: Most relevant | Search more
arXiv:2209.03372 [hep-th] (Published 2022-09-07)
Circuit Complexity in an interacting quenched Quantum Field Theory
arXiv:1903.06156 [hep-th] (Published 2019-03-14)
Weighting gates in circuit complexity and holography
arXiv:1711.10887 [hep-th] (Published 2017-11-23)
Holographic complexity for Lifshitz system