6 papers
Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order
Zhian Jia, Sheng Tan
The tube algebra, which carries the structure of a weak Hopf algebra, is a fundamental tool for characterizing topological excitations in topological phases. In this work, we…
Topological quantum color code model on infinite lattice
Shiyu Cao, Zhian Jia, Sheng Tan
The color code model is a crucial instance of a Calderbank--Shor--Steane (CSS)-type topological quantum error-correcting code, which notably supports transversal implementation of…
Temporal Kirkwood-Dirac Quasiprobability Distribution and Unification of Temporal State Formalisms through Temporal Bloch Tomography
Zhian Jia, Kavan Modi, Dagomir Kaszlikowski
Temporal quantum states generalize the multipartite density operator formalism to the time domain, enabling a unified treatment of quantum systems with both timelike and spacelike…
Subsystem Symmetry-Protected Topological Phases from Subsystem SymTFT of 2-Foliated Exotic Tensor Gauge Theory
Qiang Jia, Zhian Jia
Symmetry topological field theory (SymTFT), or topological holography, posits a correspondence between symmetries in a -dimensional theory and topological order in a -dim…
Variational Transformer Ansatz for the Density Operator of Steady States in Dissipative Quantum Many-Body Systems
Lu Wei, Zhian Jia, Yufeng Wang +2
The transformer architecture, known for capturing long-range dependencies and intricate patterns, has extended beyond natural language processing. Recently, it has attracted signif…
An Efficient Algorithmic Way to Construct Boltzmann Machine Representations for Arbitrary Stabilizer Code
Yuan-Hang Zhang, Zhian Jia, Yu-Chun Wu +1
Restricted Boltzmann machines (RBMs) have demonstrated considerable success as variational quantum states; however, their representational power remains incompletely understood. In…