期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2018)093
关键词
Space-Time Symmetries; Lattice Quantum Field Theory
资金
- Fannie and John Hertz Foundation
- Stanford Graduate Fellowship program
- Gordon and Betty Moore Foundations EPiQS Initiative [GBMF4304]
- David and Lucile Packard Foundation
- National Science Foundation [PHY-1720504]
- U.S. Department of Energy [DE-SC0012567]
- European Research Council [742104]
- Swedish Research Council [335-2014-7424]
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 superdensity 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.
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