2016/12/07 by Michael Walter, David J. Gross, Walter, Michael +4 · 1 voice · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #cond-mat.other #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.1612.02437
33 pages. Extended version of introductory book chapter. First edition: arXiv:quant-ph/0505149
arxiv published 2016/12/07 · arxiv created 2017/02/05 · arxiv updated 2017/02/05
We give an introduction to the theory of multi-partite entanglement. We begin by describing the "coordinate system" of the field: Are we dealing with pure or mixed states, with single or multiple copies, what notion of "locality" is being used, do we aim to classify states according to their "type of entanglement" or to quantify it? Building on the general theory of multi-partite entanglement - to the extent that it has been achieved - we turn to explaining important classes of multi-partite entangled states, including matrix product states, stabilizer and graph states, bosonic and fermionic Gaussian states, addressing applications in condensed matter theory. We end with a brief discussion of various applications that rely on multi-partite entangled states: quantum networks, measurement-based quantum computing, non-locality, and quantum metrology.