Name：贾治安 in simplified Chinese; given name: Zhian 治安, surname: Jia 贾; Zhian Jia or Zhi-An Jia in Mandarin Chinese; name used before: Zhih-Ahn Jia. [pronunciation of my name: ]
Curriculum Vitae : CV, Web version of cv (updated intermittently)
Welcome to my homepage!
I am a researcher in mathematical and theoretical physics, with a primary focus on the mathematical structures underlying quantum theory—including quantum field theory, quantum information, and quantum computation.
To be more specific, my research explores topological field theories and their lattice realizations, known as topological orders, as well as generalized symmetries in both field-theoretic and lattice settings.
I am also deeply interested in axiomatic approaches to quantum field theory (axiomatic quantum field theory), particularly geometric and operator-algebraic frameworks.
These works naturally connect to my broader interests in quantum algebra and topology—encompassing tensor categories, weak and quasi-Hopf algebras, quantum cohomology, axiomatic TQFT, cobordism, low-dimensional topology, knots, braids, and related structures.
I also work on problems in quantum information and quantum computation, particularly the study of quantum correlations—including entanglement, Bell nonlocality, and more recently temporal correlations and quantum stochastic processes—their properties, and their applications, a direction in which I began my research career.
For more details, please refer to my
research page and publication/preprint page.
$$ \operatorname{Hopf}: \mu\circ (\operatorname{id}\otimes S) \circ \Delta = \eta\circ \varepsilon = \mu \circ (S\otimes \operatorname{id}) \circ \Delta$$
$$\operatorname{Bulk-Boundary}: \mathsf{Bulk} \simeq Z(\mathsf{Boundary}) $$
$$\operatorname{TQFT}: \mathsf{Cob}_{d+1} \to \mathsf{Hilb} $$
$$\operatorname{QECC}: \mathsf{R}\circ \mathsf{E}(\varrho) \propto \varrho $$
$$\text{index}(D) = \int_{{T^*}M} \text{Ch} (\psi(\sigma_H(D))) \wedge \text{Td}(M)$$
$$\operatorname{Anyon condensation}: \mathbf{C} \to \mathsf{Mod}_L(\mathbf{C})= \mathbf{C}_L$$
$$\operatorname{SymTFT}: \mathbf{B}_{sym} + Z(\mathbf{B}_{sym}) + \mathbf{B}_{phys} $$
I am also actively engaged in academic communication through conferences, seminars, and collaborative community activities, aiming to contribute to and learn from the broader scientific community.
See this page for details about my academic activities, including the conferences and workshops I have participated in or plan to attend, as well as my editorial and reviewing work. I am also active on several platforms where I engage in science communication.
I enjoy discussing interesting topics with others, so feel free to reach out via email.
Beyond my work in mathematics and physics,
I enjoy reading books—some of my favorites are "One Hundred Years of Solitude", "Don Quixote", "Moby-Dick"
, "The Brothers Karamazov", "On the Road", "Pale Blue Dot"—as well as traveling and writing.
Check this link (in Chinese) for my 2025 reading list.
GIF is based on a video by ScienceClic
"Do not go where the path may lead, go instead where there is no path and leave a trail."
Some Resources
: This page will be updated automatically every eight hours using arXiv API and Github Actions (modified from This Project). I'm trying to list different topics about TQFT separately, a list of keywords will be given later. I also strongly recommend that you check out Delcamp's ArXiv Digest for TQFT, which is another great resource for staying up-to-date with the latest research in this field.
: Automatically collecting arXiv papers in quantum information theory.
2024/07/25 | The preprint titled "The spatiotemporal doubled density operator: a unified framework for analyzing spatial and temporal quantum processes" is now accepted for publication on Advanced Quantum Technologies, [arXiv:2305.15649], a collaborative work with Dagomir Kaszlikowski.
2024/07/17 | Our paper titled "Antilinear superoperator, quantum geometric invariance, and antilinear symmetry for higher-dimensional quantum systems" is now accepted for publication on Quantum Information Processing,
collaborative work with Lu Wei, Dagomir Kaszlikowski and Sheng Tan, [arXiv: 2202.10989].
2024/06/18 | The paper titled "Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model" is now accepted for publication on Journal of High Energy Physics,
collaborative work with Dagomir Kaszlikowski and Sheng Tan, [arXiv: 2403.04446].
2023/12/08 | The preprint titled "Quantum space-time marginal problem: global causal structure from local causal information
" is now accepted for publication on New Journal of physics, collaborative work with Minjeong Song, and Dagomir Kaszlikowski.
2023/07/21 | The paper titled "Boundary and domain wall theories of 2d generalized quantum double model" is now published online:
JHEP07(2023)160,
collaborative work with Dagomir Kaszlikowski, and Sheng Tan.
2023/06/12 | The preprint titled "Unification of spatiotemporal quantum formalisms: mapping between process and pseudo-density matrices via multiple-time states" is now accessible online: [arXiv:2306.05958], a collaborative work with Xiangjing Liu, Yixian Qiu, Fei Li, Oscar Dahlsten.
2023/05/26 | The preprint titled "The spatiotemporal doubled density operator: a unified framework for analyzing spatial and temporal quantum processes
" is now accessible online: [arXiv:2305.15649], a collaborative work with Dagomir Kaszlikowski.
2023/03/24 | The preprint "Quantum space-time marginal problem: global causal structure from local causal information
" is now available online: [arXiv:2303.12819], collaborative work with Minjeong Song, and Dagomir Kaszlikowski.
2022/08/16 | "Quantum simulation of indefinite causal order induced quantum refrigeration" is now published online: Phys. Rev. Research 4, L032029(2022), collaborative work with Huan Cao et al.
2022/07/11 | "Boundary and domain wall theories of 2d generalized quantum double model" is now available on arxiv: [arXiv:2207.03970]
2022/02/22 | “Antilinear superoperator and quantum geometric invariance for higher-dimensional quantum systems” is now available on arXiv: [arXiv:2202.10989].
2022/01/28 | “Electric-magnetic duality of Z2 symmetry enriched cyclic Abelian lattice gauge theory” is now available on arXiv: [arXiv:2201.12361].
Orcid: 0000-0001-8588-173X
Inspire HEP: Zhian Jia
Arxiv: link
Physics Stack Exchange: link
Twitter X: Zhian Jia
