44 citations · 352 across the 42 of their papers we have counts for
6 papers · 1 filter
Quantized Graphs and Quantum Error Correction
Zhengwei Liu
Graph theory is important in information theory. We introduce a quantization process on graphs and apply the quantized graphs in quantum information. The quon language provides a m…
Fusion Bialgebras and Fourier Analysis
Zhengwei Liu, Sebastien Palcoux, Jinsong Wu
We introduce fusion bialgebras and their duals and systematically study their Fourier analysis. As an application, we discover new efficient analytic obstructions on the unitary ca…
Universal Quantum Computation by a Single Photon
Xiaoqin Gao, Zhengwei Liu
We use one photon to simulate an n-qubit quantum system for the first time. We propose a new scheme to realize universal quantum computation in polynomial time O(n^5). A generating…
Non-commutative Rényi Entropic Uncertainty Principles
Zhengwei Liu, Jinsong Wu
In this paper, we calculate the norm of the string Fourier transform on subfactor planar algebras and characterize the extremizers of the inequalities for parameters $0<p,q\leq \in…
Reflection Positivity and Levin-Wen Models
Arthur Jaffe, Zhengwei Liu
The reflection positivity property has played a central role in both mathematics and physics, as well as providing a crucial link between the two subjects. In a previous paper we g…
The adjoint braid arrangement as a combinatorial Lie algebra via the Steinmann relations
Zhengwei Liu, William Norledge, Adrian Ocneanu
We study a certain discrete differentiation of piecewise-constant functions on the adjoint of the braid hyperplane arrangement, defined by taking finite-differences across hyperpla…