Quantum Gravity on a Quantum Computer?

Abstract

EPR-type measurements on spatially separated entangled spin qubits allow one, in principle, to detect curvature. Also the entanglement of the vacuum state is affected by curvature. Here, we ask if the curvature of spacetime can be expressed entirely in terms of the spatial entanglement structure of the vacuum. This would open up the prospect that quantum gravity could be simulated on a quantum computer and that quantum information techniques could be fully employed in the study of quantum gravity.

Discussion improved, same results, typos removed, references added

References in corpus (5)

• Fundamental quantum optics experiments conceivable with satellites -- reaching relativistic distances and velocities
• Spacetime could be simultaneously continuous and discrete in the same way that information can
• Shape from sound: toward new tools for quantum gravity
• A fully covariant information-theoretic ultraviolet cutoff for scalar fields in expanding FRW spacetimes
• Quantum Gravity on a Quantum Computer?

Cited by in corpus (8)

• Small scale structure of spacetime: van Vleck determinant and equi-geodesic surfaces
• Spacetime Curvature in terms of Scalar Field Propagators
• Replacing the Notion of Spacetime Distance by the Notion of Correlation
• Quantum gravity, information theory and the CMB
• Quantum Gravity on a Quantum Computer?
• Towards Spectral Geometric Methods for Euclidean Quantum Gravity
• Towards Spectral Geometry for Causal Sets
• A Convexity Result in the Spectral Geometry of Conformally Equivalent Metrics on Surfaces