14 citations · 86 across the 16 of their papers we have counts for
16 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 th…
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…
Shedding Light on the Future: Exploring Quantum Neural Networks through Optics
Shang Yu, Zhian Jia, Aonan Zhang +7
At the dynamic nexus of artificial intelligence and quantum technology, quantum neural networks (QNNs) play an important role as an emerging technology in the rapidly developing fi…
Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model
Zhian Jia, Sheng Tan, Dagomir Kaszlikowski
We investigate the multifusion generalization of string-net ground states and lattice Hamiltonians, delving into its associated weak Hopf symmetry. For the multifusion string-net,…
Unification of spatiotemporal quantum formalisms: mapping between process and pseudo-density matrices via multiple-time states
Xiangjing Liu, Zhian Jia, Yixian Qiu +2
We consider the relation between three different approaches to defining quantum states across several times and locations: the pseudo-density matrix (PDM), the process matrix, and…
The spatiotemporal doubled density operator: a unified framework for analyzing spatial and temporal quantum processes
Zhian Jia, Dagomir Kaszlikowski
The measurement statistics for spatial and temporal quantum processes are produced through distinct mechanisms. Measurements that are space-like separated exhibit non-signaling beh…
Quantum space-time marginal problem: global causal structure from local causal information
Zhian Jia, Minjeong Song, Dagomir Kaszlikowski
Spatial and temporal quantum correlations can be unified in the framework of the pseudo-density operators, and quantum causality between the involved events in an experiment is enc…
On weak Hopf symmetry and weak Hopf quantum double model
Zhian Jia, Sheng Tan, Dagomir Kaszlikowski +1
Symmetry is a central concept for classical and quantum field theory, usually, symmetry is described by a finite group or Lie group. In this work, we introduce the weak Hopf algebr…
Boundary and domain wall theories of 2d generalized quantum double model
Zhian Jia, Dagomir Kaszlikowski, Sheng Tan
The generalized quantum double lattice realization of 2d topological orders based on Hopf algebras is discussed in this work. Both left-module and right-module constructions are in…
Antilinear superoperator, quantum geometric invariance, and antilinear symmetry for higher-dimensional quantum systems
Lu Wei, Zhian Jia, Dagomir Kaszlikowski +1
We present a systematic investigation of antilinear superoperators and their applications in studying open quantum systems, particularly focusing on quantum geometric invariance, e…
Electric-magnetic duality and symmetry enriched Abelian lattice gauge theory
Zhian Jia, Dagomir Kaszlikowski, Sheng Tan
Kitaev's quantum double model is a lattice gauge theoretic realization of Dijkgraaf-Witten topological quantum field theory (TQFT), its topologically protected ground state space h…
Quantum simulation of indefinite causal order induced quantum refrigeration
Huan Cao, Ning-ning Wang, Zhih-Ahn Jia +6
In the classical world, physical events always happen in a fixed causal order. However, it was recently revealed that quantum mechanics allows events to occur with indefinite causa…
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…