52 citations · 59 across the 7 of their papers we have counts for
8 papers
Engineering logical gates with irrep surface codes
Yabo Li, Zijian Song, Vieri Mattei +3
Fault-tolerant quantum computation can incur a substantial resource cost when a desired logical operation must be constructed from a restricted set of logical primitives. To make s…
Many-body chirality of topological stabilizer states
Tyler D. Ellison, Dongjin Lee, Zhi Li +3
A defining feature of chirality is the distinction between a system and its mirror image. Despite extensive experimental observations of chiral phases and theoretical advances, a q…
Long-range nonstabilizerness of topologically encoded states from mutual information
David Aram Korbany, Tyler D. Ellison, David T. Stephen +1
We study long-range nonstabilizerness (LRN), namely the obstruction to remove nonstabilizerness with shallow-depth local quantum circuits. In one-dimensional settings, the mutual i…
Universal quantum computation with group surface codes
Naren Manjunath, Vieri Mattei, Apoorv Tiwari +1
We introduce group surface codes, which are a natural generalization of the surface code, and equivalent to quantum double models of finite groups with specific boun…
Finite-temperature quantum topological order in three dimensions
Shu-Tong Zhou, Meng Cheng, Tibor Rakovszky +2
We identify a three-dimensional system that exhibits long-range entanglement at sufficiently small but nonzero temperature--it therefore constitutes a quantum topological order at…
Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases
Amir-Reza Negari, Tyler D. Ellison, Timothy H. Hsieh
We establish a correspondence between the fault-tolerance of local stabilizer codes experiencing measurement and physical errors and the mixed-state phases of decohered resource st…
Topological stabilizer models on continuous variables
Julio C. Magdalena de la Fuente, Tyler D. Ellison, Meng Cheng +1
We construct a family of two-dimensional topological stabilizer codes on continuous variable (CV) degrees of freedom, which generalize homological rotor codes and the toric-GKP cod…
Towards a classification of mixed-state topological orders in two dimensions
Tyler Ellison, Meng Cheng
The classification and characterization of topological phases of matter is well understood for ground states of gapped Hamiltonians that are well isolated from the environment. How…