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The Universe as a Quantum Encoder | | Jordan Cotler
; Andrew Strominger
; | | Date: |
27 Jan 2022 | | Abstract: | Quantum mechanical unitarity in our universe is challenged both by the notion
of the big bang, in which nothing transforms into something, and the expansion
of space, in which something transforms into more something. This motivates the
hypothesis that quantum mechanical time evolution is always isometric, in the
sense of preserving inner products, but not necessarily unitary. As evidence
for this hypothesis we show that in two spacetime dimensions (i) there is net
entanglement entropy produced in free field theory by a moving mirror or
expanding geometry, (ii) the Lorentzian path integral for a finite elements
lattice discretization gives non-unitary isometric time evolution, and (iii)
tensor network descriptions of AdS$_3$ induce a non-unitary but isometric time
evolution on an embedded two-dimensional de Sitter braneworld. In the last
example time evolution is a quantum error-correcting code. | | Source: | arXiv, 2201.11658 | | Services: | Forum | Review | PDF | Favorites | |
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