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Article overview
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Quantum Causal Influence | | Jordan Cotler
; Xizhi Han
; Xiao-Liang Qi
; Zhao Yang
; | | Date: |
13 Nov 2018 | | Abstract: | We introduce a framework to study the emergence of time and causal structure
in quantum many-body systems. In doing so, we consider quantum states which
encode spacetime dynamics, and develop information theoretic tools to extract
the causal relationships between putative spacetime subsystems. Our analysis
reveals a quantum generalization of the thermodynamic arrow of time and begins
to explore the roles of entanglement, scrambling and quantum error correction
in the emergence of spacetime. For instance, exotic causal relationships can
arise due to dynamically induced quantum error correction in spacetime: there
can exist a spatial region in the past which does not causally influence any
small spatial regions in the future, but yet it causally influences the union
of several small spatial regions in the future. We provide examples of quantum
causal influence in Hamiltonian evolution, quantum error correction codes,
quantum teleportation, holographic tensor networks, the final state projection
model of black holes, and many other systems. We find that the quantum causal
influence provides a unifying perspective on spacetime correlations in these
seemingly distinct settings. In addition, we prove a variety of general
structural results and discuss the relation of quantum causal influence to
spacetime quantum entropies. | | Source: | arXiv, 1811.5485 | | Services: | Forum | Review | PDF | Favorites | |
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