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6 papers
Quantum Complexity and Holography
Javier Martin-Garcia
This thesis develops recent work on the so called Volume-Complexity and Action-Complexity conjectures. According to this family of proposals, geometric quantities can be defined in…
A Generalized Momentum/Complexity Correspondence
J. L. F. Barbon, J. Martin-Garcia, M. Sasieta
Holographic complexity, in the guise of the Complexity = Volume prescription, comes equipped with a natural correspondence between its rate of growth and the average infall momentu…
Proof of a Momentum/Complexity Correspondence
J. L. F. Barbon, J. Martin-Garcia, M. Sasieta
We show that the holographic Complexity = Volume proposal satisfies a very general notion of Momentum/Complexity correspondence (PC), based on the Momentum Constraint of General Re…
Momentum/Complexity Duality and the Black Hole Interior
José L. F. Barbón, Javier Martín-García, Martin Sasieta
We establish a version of the Momentum/Complexity (PC) duality between the rate of operator complexity growth and a radial component of bulk momentum for a test system falling into…
Entropic Locking Of Action Complexity At Cosmological Singularities
Jose L. F. Barbon, Javier Martin-Garcia
We study the relation between entropy and Action Complexity (AC) for various examples of cosmological singularities in General Relativity. The complexity is defined with respect to…
Terminal Holographic Complexity
Jose L. F. Barbon, Javier Martin-Garcia
We introduce a quasilocal version of holographic complexity adapted to `terminal states' such as spacelike singularities. We use a modification of the action-complexity ansatz, res…