activity
19932023
most citedNon-Abelian Anyons and Topological Quantum Computation

7k citations · 12.2k across the 91 of their papers we have counts for

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97 papers

quant-ph2023

Entanglement of Sections, Examples Looking for a Theory

M. H. Freedman, M. B. Hastings

Quantum information is about the entanglement of states. To this starting point we add parameters whereby a single state becomes a non-vanishing section of a bundle. We consider th…

math.DG2023

An Improved Long-Time Bishop-Gromov Theorem Using Shear

Adam R. Brown, Michael H. Freedman

The Bishop-Gromov theorem is a comparison theorem of differential geometry that upperbounds the growth of volume of a geodesic ball in a curved space. For many spaces, this bound i…

math.GT2023

Packing Meets Topology

Michael H. Freedman

This note initiates an investigation of packing links into a region of Euclidean space to achieve a maximal density subject to geometric constraints. The upper bounds obtained appl…

math.DG2022

Enhanced Bishop-Gromov Theorem

Adam R. Brown, Michael H. Freedman

The Bishop-Gromov theorem upperbounds the rate of growth of volume of geodesic balls in a space, in terms of the most negative component of the Ricci curvature. In this paper we pr…

econ.TH2022

Prospecting a Possible Quadratic Wormhole Between Quantum Mechanics and Plurality

Michal Fabinger, Michael H. Freedman, E. Glen Weyl

We illustrate some formal symmetries between Quadratic Funding (Buterin et al., 2019), a mechanism for the (approximately optimal) determination of public good funding levels, and…

math.GT2022

Shrinking Without Doing Much At All

Michael Freedman, Michael Starbird

In 1952 Bing astonished the mathematical world with his wild involution on . It has been among the most seminal examples in topology. The example depends on finding shrinking…