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Quantum Hamiltonian Complexity

book
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Author: Sevag Gharibian, Yichen Huang, Zeph Landau, Seung Woo Shin
Url: http://arxiv.org/abs/1401.3916v3
Format: Ps, Pdf
Year: 2015
Category: Advanced Quantum Mechanics
Pages: 58
Clicks: 971

Description
We survey the growing field of Quantum Hamiltonian Complexity, which includes the study of Quantum Constraint Satisfaction. In particular, our aim is to provide a computer science-oriented introduction to the subject in order to help bridge the language barrier between computer scientists and physicists in the field. As such, we include the following in this paper: (1) The motivations and history of the field, (2) a glossary of condensed matter physics terms explained in computer-science friendly language, (3) overviews of central ideas from condensed matter physics, such as indistinguishable particles, mean field theory, tensor networks, and area laws, and (4) brief expositions of selected computer science-based results in the area. For example, as part of the latter, we provide a novel information theoretic presentation of Bravyi's polynomial time algorithm for Quantum 2-SAT.

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