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Complexity and boost symmetry
- Source :
- Physical Review
- Publication Year :
- 2018
- Publisher :
- APS, 2018.
-
Abstract
- We find that the time dependence of holographic complexity is controlled by the Rindler boost symmetry across the horizon. By studying the collision energy experienced by an infalling object, we see the breaking of this boost symmetry is closely related to firewalls, which in turn shows the connection between the time dependence of complexity and firewalls. We further identify the black and white hole interiors as two tapes storing different parts of the minimal circuit preparing the state. Depending on whether the quantum gates are being laid on the tape at a particular moment, each tape can be in two states: working, or locked. We interpret the existence of firewalls as the locking of tapes.<br />Comment: 28 pages, 27 figures
- Subjects :
- High Energy Physics - Theory
Physics
010308 nuclear & particles physics
White hole
Horizon
FOS: Physical sciences
01 natural sciences
Symmetry (physics)
Moment (mathematics)
Black hole
symbols.namesake
Theoretical physics
Quantum gate
High Energy Physics - Theory (hep-th)
0103 physical sciences
symbols
EPR paradox
State (computer science)
010306 general physics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Physical Review
- Accession number :
- edsair.doi.dedup.....f3fe270bc68726262c329be614f7cb5d