Circuit complexity in quantum field theory
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Publication:1709325
DOI10.1007/JHEP10(2017)107zbMATH Open1383.81233arXiv1707.08570OpenAlexW3100496348WikidataQ62042216 ScholiaQ62042216MaRDI QIDQ1709325
Author name not available (Why is that?)
Publication date: 27 March 2018
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1707.08570
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