410 citations · 626 across the 16 of their papers we have counts for
16 papers
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…
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…
Invertible bimodule categories and generalized Schur orthogonality
Jacob C. Bridgeman, Laurens Lootens, Frank Verstraete
The Schur orthogonality relations are a cornerstone in the representation theory of groups. We utilize a generalization to weak Hopf algebras to provide a new, readily verifiable c…
One-dimensional symmetric phases protected by frieze symmetries
Bram Vancraeynest-De Cuiper, Jacob C. Bridgeman, Nicolas Dewolf +2
We make a systematic study of symmetry-protected topological gapped phases of quantum spin chains in the presence of the frieze space groups in one dimension using matrix product s…
Computing associators of endomorphism fusion categories
Daniel Barter, Jacob C. Bridgeman, Ramona Wolf
Many applications of fusion categories, particularly in physics, require the associators or -symbols to be known explicitly. Finding these matrices typically involves solving va…
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…
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…
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…
Computing Defects Associated to Bounded Domain Wall Structures: The Case
Jacob C. Bridgeman, Daniel Barter
A domain wall structure consists of a planar graph with faces labeled by fusion categories/topological phases. Edges are labeled by bimodules/domain walls. When the vertices are la…
Fusing Binary Interface Defects in Topological Phases: The case
Jacob C. Bridgeman, Daniel Barter, Corey Jones
A binary interface defect is any interface between two (not necessarily invertible) domain walls. We compute all possible binary interface defects in Kitaev's $\mathbb{Z}/p\mathbb{…
Domain walls in topological phases and the Brauer-Picard ring for
Daniel Barter, Jacob C. Bridgeman, Corey Jones
We show how to calculate the relative tensor product of bimodule categories (not necessarily invertible) using ladder string diagrams. As an illustrative example, we compute the Br…
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,…
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…
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…
Detecting Topological Order with Ribbon Operators
Jacob C. Bridgeman, Steven T. Flammia, David Poulin
We introduce a numerical method for identifying topological order in two-dimensional models based on one-dimensional bulk operators. The idea is to identify approximate symmetries…
Infinitely dimensional Lax structure for one-dimensional Hubbard model
Vladislav Popkov, Tomaz Prosen
We report a two-parametric irreducible infinitely dimensional representation of the Lax integrability condition for the fermi Hubbard chain. Besides being of fundamental interest,…