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20152021
most citedThe Hilbert Space of Quantum Gravity Is Locally Finite-Dimensional

38 citations · 52 across the 5 of their papers we have counts for

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quant-ph2021

Probing the Quantum Nature of Gravity in the Microgravity of Space

Ashmeet Singh

Conventionally, experiments probing the quantum nature of gravity were thought to be prohibitive due to the extremely high energy scales involved. However, recent and rapid advance…

quant-ph2020

Quantum Mereology: Factorizing Hilbert Space into Subsystems with Quasi-Classical Dynamics

Sean M. Carroll, Ashmeet Singh

We study the question of how to decompose Hilbert space into a preferred tensor-product factorization without any pre-existing structure other than a Hamiltonian operator, in parti…

quant-ph2019

Quantum State Reduction: Generalized Bipartitions from Algebras of Observables

Oleg Kabernik, Jason Pollack, Ashmeet Singh

Reduced density matrices are a powerful tool in the analysis of entanglement structure, approximate or coarse-grained dynamics, decoherence, and the emergence of classicality. It i…

quant-ph2018

Modeling Position and Momentum in Finite-Dimensional Hilbert Spaces via Generalized Pauli Operators

Ashmeet Singh, Sean M. Carroll

The finite entropy of black holes suggests that local regions of spacetime are described by finite-dimensional factors of Hilbert space, in contrast with the infinite-dimensional H…

quant-ph2018

Towards Space from Hilbert Space: Finding Lattice Structure in Finite-Dimensional Quantum Systems

Jason Pollack, Ashmeet Singh

Field theories place one or more degrees of freedom at every point in space. Hilbert spaces describing quantum field theories, or their finite-dimensional discretizations on lattic…

quant-ph20187 cited

Mad-Dog Everettianism: Quantum Mechanics at Its Most Minimal

Sean M. Carroll, Ashmeet Singh

To the best of our current understanding, quantum mechanics is part of the most fundamental picture of the universe. It is natural to ask how pure and minimal this fundamental quan…