38 citations · 52 across the 6 of their papers we have counts for
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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-ph2018★ 7 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…