On the Relative Distance of Entangled Systems in Emergent Spacetime Scenarios

Abstract

Spacetime emergence from entanglement proposes an alternative to quantizing gravity and typically derives a notion of distance based on the amount of mutual information shared across sub-systems. Albeit promising, this program still faces challenges to describe simple physical systems, such as a maximally entangled Bell pair that is taken apart while preserving its entanglement. We propose a solution to this problem: a reminder that quantum systems can have multiple sectors of independent degrees of freedom, and that each sector can be entangled. Thus, while one sector can decohere, and decrease the amount of total mutual information within the system, another sector, e.g. spin, can remain entangled. We illustrate this with a toy model, showing that only within the particles' momentum uncertainty there can be considerably more entanglement than in the spin sector for a single Bell pair. We finish by introducing some considerations about how spacetime could be tested in the lab in the future.

arXiv comment9 pages, 2 figures

References in corpus (32)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Thermodynamics of Spacetime: The Einstein Equation of State
• Cool horizons for entangled black holes
• Building up spacetime with quantum entanglement
• A Spin Entanglement Witness for Quantum Gravity
• Entanglement Renormalization and Holography
• Information Causality as a Physical Principle
• Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity
• Area laws in quantum systems: mutual information and correlations
• Quantum Information and Relativity Theory
• Gravitation from Entanglement in Holographic CFTs
• The principle of relative locality
• Relative Entropy and Holography
• Entanglement Equilibrium and the Einstein Equation
• Quantum entropy and special relativity
• Space from Hilbert Space: Recovering Geometry from Bulk Entanglement
• Matter-wave Atomic Gradiometer Interferometric Sensor (MAGIS-100)
• Entanglement between two spatially separated atomic modes
• Nonlinear Gravity from Entanglement in Conformal Field Theories
• A Mini-Introduction To Information Theory
• Tensor Networks from Kinematic Space
• Tomography from Entanglement
• Quantum Mereology: Factorizing Hilbert Space into Subsystems with Quasi-Classical Dynamics
• Bulk Entanglement Gravity without a Boundary: Towards Finding Einstein's Equation in Hilbert Space
• On inference of quantization from gravitationally induced entanglement
• The Hilbert Space of Quantum Gravity Is Locally Finite-Dimensional
• Locality from the Spectrum
• Entropy of a subalgebra of observables and the geometric entanglement entropy
• Gravity, Quantum Fields and Quantum Information: Problems with classical channel and stochastic theories
• Tabletop Experiments for Quantum Gravity Are Also Tests of the Interpretation of Quantum Mechanics
• Local Lorentz covariance in finite-dimensional Local Quantum Physics
• Spacetime granularity from finite-dimensionality of local observable algebras