17 citations · 30 across the 7 of their papers we have counts for
7 papers
Unified spatiotemporal quantum states and spatiotemporal entanglement from Kirkwood-Dirac phase space
Zhian Jia, Mei-Hui Xiao
The notion of a spatiotemporal quantum state extends the conventional concept of a spatial quantum state to the spatiotemporal domain. Such states are represented by unit-trace ope…
Temporal State Tomography via Quantum Snapshotting the Temporal Quasiprobabilities
Zhian Jia
Quantum tomography is a cornerstone of quantum information science, enabling the reconstruction of states and channels from experimental data. Here we introduce a new paradigm, tem…
Quantum Cluster State Spin Chain with Ising Fusion Category Symmetry: A Perspective from Weak Hopf SymTFT
Zhian Jia
In this work, we present a construction of a cluster state lattice Hamiltonian that exhibits the symmetry of the Ising fusion algebra. This construction is formulated within the fr…
Weak Hopf tube algebra for domain walls between 2d gapped phases of Turaev-Viro TQFTs
Zhian Jia, Sheng Tan
We investigate domain walls between 2d gapped phases of Turaev-Viro type topological quantum field theories (TQFTs) by constructing domain wall tube algebras. We begin by analyzing…
Quantum Cluster State Model with Haagerup Fusion Category Symmetry
Zhian Jia
We propose a (1+1)D lattice model, inspired by a weak Hopf algebra generalization of the cluster state model, which realizes Haagerup fusion category symmetry and features a tensor…
Weak Hopf non-invertible symmetry-protected topological spin liquid and lattice realization of (1+1)D symmetry topological field theory
Zhian Jia
We introduce weak Hopf symmetry as a tool to explore (1+1)-dimensional topological phases with non-invertible symmetries. Drawing inspiration from Symmetry Topological Field Theory…
Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation
Zhian Jia
Cluster states are crucial resources for measurement-based quantum computation (MBQC). It exhibits symmetry-protected topological (SPT) order, thus also playing a crucial role in s…