Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2017)107
Keywords
AdS-CFT Correspondence; Effective Field Theories; Black Holes in String Theory; Lattice Quantum Field Theory
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Funding
- Government of Canada through Department of Innovation, Science and Economic Development
- Province of Ontario through the Ministry of Research Innovation
- NSERC
- Canadian Institute for Advanced Research
- Simons Foundation through the It from Qubit Collaboration
- Delta-ITP consortium of the Netherlands Organization for Scientific Research (NWO)
- Foundation for Fundamental Research on Matter (FOM) of the Netherlands Organization for Scientific Research (NWO) - Dutch Ministry of Education, Culture, and Science (OCW)
- Perimeter Institute Visiting Graduate Fellows program
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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.
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