Building up spacetime with quantum entanglement
By Mark Van Raamsdonk. 2010
1,305 citations recorded by the source corpus.
In this essay, we argue that the emergence of classically connected spacetimes is intimately related to the quantum entanglement of degrees of freedom in a non-perturbative description of quantum gravity. Disentangling the degrees of freedom associated with two regions of spacetime results in these regions pulling apart and pinching off from each other in a way that can be quantified by standard measures of entanglement.
View Paper: https://www.semanticscholar.org/paper/5519156cab94cfccc031cdfae185a3f07b9a2195
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Citations in the corpus
- Localized shocks (2014, background): “Connections have been found between quantum mechanics and geometry, most notable the connection between spatial connectivity and entanglement [42, 43, 44].”
- Towards a derivation of holographic entanglement entropy (2011, background): “, [6], it has been suggested that entanglement entropy may provide new insights into the quantum structure of spacetime [7].”
- Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence (2015, background): “In fact there have been recent conjectures in the literature that this operator can still be reconstructed in A as long as A is bigger than A; more generally, the claim is that one can do reconstruction throughout the entanglement wedge, which is defined as the bulk domain of dependence of any bulk ”
- A semiclassical ramp in SYK and in gravity (2018, background): “(22)The failure of factorization in JT gravity was recently discussed in [31], where it was argued that additional degrees of freedom need to be added to the bulk theory in order to restore factorization, see figure 1 of [52].”
- Computational complexity and black hole horizons (2014, background): “For example, |ψ〉 = {|00〉 + |11〉}⊗K (5.2) This is a simple qubit analog of the TFD.”
- Entanglement of purification through holographic duality (2017, methodology): “In this set-up, we can consider the holographic entanglement entropy for A, B and AB(≡ A∪ B) following equation (4), which is given by the area of minimal surfaces ΓA min, ΓB min”
- Jerusalem Lectures on Black Holes and Quantum Information (2014, background): “This has led to a more general proposal that “entanglement generates geometry” [122], which recently has been given the rather amusing name of “ER=EPR” [123].”
- Holographic complexity in Vaidya spacetimes. Part I (2018, background): “In particular, it is now evident that quantum entanglement of the microscopic degrees of freedom is a key element leading to the emergence of the semi-classical spacetime geometry in the bulk [5, 6].”
- Space from Hilbert Space: Recovering Geometry from Bulk Entanglement (2016, background): “One such case is manifest in the context of AdS/CFT correspondence, where entanglement entropy of different-sized balls in the CFT are needed to obtain bulk geometric information through a radon transform.”
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- Holographic c-theorems in arbitrary dimensions (2010, unknown): “Related ideas were discussed in [37, 38].”