44 citations · 352 across the 42 of their papers we have counts for
10 papers · 1 filter
Jones-Wassermann subfactors for modular tensor categories
Zhengwei Liu, Feng Xu
The representation theory of a conformal net is a unitary modular tensor category. It is captured by the bimodule category of the Jones-Wassermann subfactor. In this paper, we cons…
Quons: A 3D Language for Quantum Information
Zhengwei Liu, Alex Wozniakowski, Arthur Jaffe
We present a 3D, topological picture-language for quantum information. Our approach combines charged excitations carried by strings, with topological properties that arise from emb…
Young's inequality for locally compact quantum groups
Zhengwei Liu, Simeng Wang, Jinsong Wu
In this paper, we generalize Young's inequality for locally compact quantum groups and obtain some results for extremal pairs of Young's inequality and extremal functions of Hausdo…
Constructive Simulation and Topological Design of Protocols
Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski
We give a topological simulation for tensor networks that we call the two-string model. In this approach we give a new way to design protocols, and we discover a new multipartite q…
Classification of Thurston-relation subfactor planar algebras
Corey Jones, Zhengwei Liu, Yunxiang Ren
Bisch and Jones suggested the skein theoretic classification of planar algebras and investigated the ones generated by 2-boxes with the second author. In this paper, we consider 3-…
Uncertainty Principles for Kac Algebras
Zhengwei Liu, Jinsong Wu
In this paper, we introduce the notation of bi-shift of biprojections in subfactor theory to unimodular Kac algebras. We characterize the minimizers of Hirschman-Beckner uncertaint…
Compressed Teleportation
Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski
In a previous paper we introduced holographic software for quantum networks, inspired by work on planar para algebras. This software suggests the definition of a compressed transfo…
Holographic Software for Quantum Networks
Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski
We introduce a pictorial approach to quantum information, called holographic software. Our software captures both algebraic and topological aspects of quantum networks. It yields a…
Qudit Isotopy
Arthur Jaffe, Zhengwei Liu, Alex Wozniakowski
We explore a general diagrammatic framework to understand qudits and their braiding, especially in its relation to entanglement. This involves understanding the role of isotopy in…
Planar Para Algebras, Reflection Positivity
Arthur Jaffe, Zhengwei Liu
We define a planar para algebra, which arises naturally from combining planar algebras with the idea of para symmetry in physics. A subfactor planar para algebra i…