Zhenghan Wang

About

Zhenghan Wang is a Professor in the Department of Mathematics at the University of California, Santa Barbara. His research interests focus on Quantum Topology and Algebra as well as Quantum Computation. He is actively involved in academic activities including seminars and conferences, and has organized conferences such as those held at Microsoft Research Station Q. Professor Wang contributes to the mathematical foundations of topological quantum computation and maintains a professional presence through his website and curriculum vitae. His work bridges the areas of geometry, topology, physics, and quantum computation, reflecting a deep engagement with both theoretical and applied aspects of these fields.

Research topics

• Mathematics
• Physics
• Pure mathematics
• Theoretical physics
• Computer science

Selected publications

• Reconstruction of Modular Data from $${\text {SL}}_2({\mathbb {Z}})$$ Representations

  Communications in Mathematical Physics · 2023-07-07 · 10 citations

  articleOpen access
  PublisherOA PDFDOI

• On topology of the moduli space of gapped Hamiltonians for topological phases

  Journal of Mathematical Physics · 2023-04-01 · 10 citations

  articleSenior author

  The moduli space of gapped Hamiltonians that are in the same topological phase is an intrinsic object that is associated with the topological order. The topology of these moduli spaces has been used recently in the construction of Floquet codes. We propose a systematical program to study the topology of these moduli spaces. In particular, we use effective field theory to study the cohomology classes of these spaces, which includes and generalizes the Berry phase. We discuss several applications…

  PublisherDOI

• Demonstration of quantum computation and error correction with a tesseract code

  arXiv (Cornell University) · 2024-09-06 · 7 citations

  preprintOpen access

  A critical milestone for quantum computers is to demonstrate fault-tolerant computation that outperforms computation on physical qubits. The tesseract subsystem color code protects four logical qubits in 16 physical qubits, to distance four. Using the tesseract code on Quantinuum's trapped-ion quantum computers, we prepare high-fidelity encoded graph states on up to 12 logical qubits, beneficially combining for the first time fault-tolerant error correction and computation. We also protect encod…

  PublisherOA PDFDOI

• Fault-tolerant quantum computation with a neutral atom processor

  arXiv (Cornell University) · 2024-11-18 · 5 citations

  preprintOpen access

  Quantum computing experiments are transitioning from running on physical qubits to using encoded, logical qubits. Fault-tolerant computation can identify and correct errors, and has the potential to enable the dramatically reduced logical error rates required for valuable algorithms. However, it requires flexible control of high-fidelity operations performed on large numbers of qubits. We demonstrate fault-tolerant quantum computation on a quantum processor with 256 qubits, each an individual ne…

  PublisherOA PDFDOI

• Modular data of non-semisimple modular categories

  International Journal of Mathematics · 2024-12-20 · 2 citations

  article

  We investigate non-semisimple modular categories with an eye towards a structure theory, low-rank classification and applications to low dimensional topology and topological physics. We aim to extend the well-understood theory of semisimple modular categories to the non-semisimple case by using representations of factorizable ribbon Hopf algebras as a case study. We focus on the Cohen–Westreich modular data, which is obtained from the Lyubashenko–Majid modular representation restricted to the Hi…

  PublisherDOI

Recent grants

• Collaborative Research: FET: Small: Topological quantum computing beyond anyons

  NSF · $135k · 2020–2024

• FRG: cQIS: Collaborative Research: Mathematical Foundations of Topological Quantum Computation and Its Applications

  NSF · $368k · 2017–2023

• Collaborative Research: Topological Phases of Matter and Their Application to Quantum Computing

  NSF · $100k · 2011–2016

Frequent coauthors

• Eric C. Rowell

  61 shared

• Michael Freedman

  51 shared

• Paul Bruillard

  Bellevue Hospital Center

  37 shared

• Xiao-Gang Wen

  Massachusetts Institute of Technology

  30 shared

• Shawn X. Cui

  29 shared

• Meng Cheng

  Yale University

  27 shared

• Chetan Nayak

  27 shared

• Alexei Kitaev

  26 shared

Similar researchers at University of California, Santa Barbara

• Linda Petzoldh-68
• Igor Mezich-60
• Zheng Liuh-59