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20152026
most citedHand-waving and Interpretive Dance: An Introductory Course on Tensor Networks

410 citations · 626 across the 16 of their papers we have counts for

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8 papers · 1 filter

quant-ph2026

Macromux: scalable postselection for high-threshold fault-tolerant quantum computation

Patrick Birchall, Jacob Bridgeman, Christopher Dawson +7

We introduce a new resource-efficient scheme for fault-tolerant quantum computation known as `macroscale multiplexing' (or simply `Macromux'), that utilizes scalable postselection…

quant-ph2023★ 12 cited

Lifting topological codes: Three-dimensional subsystem codes from two-dimensional anyon models

Jacob C. Bridgeman, Aleksander Kubica, Michael Vasmer

Topological subsystem codes in three spatial dimensions allow for quantum error correction with no time overhead, even in the presence of measurement noise. The physical origins of…

quant-ph2020★ 4 cited

Boundary topological entanglement entropy in two and three dimensions

Jacob C. Bridgeman, Benjamin J. Brown, Samuel J. Elman

The topological entanglement entropy is used to measure long-range quantum correlations in the ground state of topological phases. Here we obtain closed form expressions for topolo…

quant-ph2019★ 4 cited

Gauging Defects in Quantum Spin Systems

Jacob C. Bridgeman, Alexander Hahn, Tobias J. Osborne +1

The goal of this work is to build a dynamical theory of defects for quantum spin systems. A kinematic theory for an indefinite number of defects is first introduced exploiting dist…

quant-ph2019★ 20 cited

Computing data for Levin-Wen with defects

Jacob C. Bridgeman, Daniel Barter

We demonstrate how to do many computations for non-chiral topological phases with defects. These defects may be 1-dimensional domain walls or 0-dimensional point defects. Using $\o…

quant-ph2017★ 25 cited

Tensor Networks with a Twist: Anyon-permuting domain walls and defects in PEPS

Jacob C. Bridgeman, Stephen D. Bartlett, Andrew C. Doherty

We study the realization of anyon-permuting symmetries of topological phases on the lattice using tensor networks. Working on the virtual level of a projected entangled pair state,…

quant-ph2017★ 33 cited

Anomalies and entanglement renormalization

Jacob C. Bridgeman, Dominic J. Williamson

We study 't Hooft anomalies of discrete groups in the framework of (1+1)-dimensional multiscale entanglement renormalization ansatz states on the lattice. Using matrix product oper…

quant-ph2016★ 410 cited

Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks

Jacob C. Bridgeman, Christopher T. Chubb

The curse of dimensionality associated with the Hilbert space of spin systems provides a significant obstruction to the study of condensed matter systems. Tensor networks have prov…