Superdensity operators for spacetime quantum mechanics
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13130_2018_Article_9021.pdf
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2.9 MB
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Author(s)
Cotler, Jordan
Jian, Chao-Ming
Qi, Xiao-Liang
Wilczek, Frank
Date Issued
September 2018
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Cotler, Jordan et al. "Superdensity operators for spacetime quantum mechanics." Journal of High Energy Physics 2018 (September 2018): 93 © The Author(s) 2018
Version
Final published version
Abstract
We introduce superdensity operators as a tool for analyzing quantum information in spacetime. Superdensity operators encode spacetime correlation functions in an operator framework, and support a natural generalization of Hilbert space techniques and Dirac’s transformation theory as traditionally applied to standard density operators. Superdensity operators can be measured experimentally, but accessing their full content requires novel procedures. We demonstrate these statements on several examples. The superdensity formalism suggests useful definitions of spacetime entropies and spacetime quantum channels. For example, we show that the von Neumann entropy of a super-density operator is related to a quantum generalization of the Kolmogorov-Sinai entropy, and compute this for a many-body system. We also suggest experimental protocols for measuring spacetime entropies. Keywords: Space-Time Symmetries; Lattice Quantum Field Theory
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/JHEP09(2018)093
