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Zhian Jia | 贾治安





Welcome to my homepage! I am a researcher in mathematical and theoretical physics, focusing on the mathematical structures that underpin quantum theory and its manifestations in quantum field theory and quantum phases of matter, quantum information and computation. My recent work centers on topological field theories and their lattice realizations (topological orders), as well as generalized symmetries in both field-theoretic and lattice frameworks. I began my research career in quantum information and computation theory; therefore, I also work on traditional topics in quantum information and computation, and I am broadly interested in the intersections of high-energy physics, quantum matter, and quantum information science, especially in applying quantum information tools to quantum field theory and condensed matter systems.
$$ \operatorname{Hopf}: \mu\circ (\operatorname{id}\otimes S) \circ \Delta = \eta\circ \varepsilon = \mu \circ (S\otimes \operatorname{id}) \circ \Delta$$ $$\operatorname{Bulk-Boundary}: \mathsf{Bulk} \simeq Z(\mathsf{Boundary}) $$ $$\operatorname{TQFT}: \mathsf{Cob}_{d+1} \to \mathsf{Hilb} $$ $$\operatorname{QECC}: \mathsf{R}\circ \mathsf{E}(\varrho) \propto \varrho $$ $$\text{index}(D) = \int_{{T^*}M} \text{Ch} (\psi(\sigma_H(D))) \wedge \text{Td}(M)$$ $$\operatorname{Anyon condensation}: \mathbf{C} \to \mathsf{Mod}_L(\mathbf{C})= \mathbf{C}_L$$ $$\operatorname{SymTFT}: \mathbf{B}_{sym} + Z(\mathbf{B}_{sym}) + \mathbf{B}_{phys} $$ For more details of my research, please refer to my research page and publication/preprint page. If you are interested in these topics, feel free to contact me via email.

“On some shelf in some hexagon, it was argued, there must exist a book that is the cipher and perfect com­pendium of all other books, and some librarian must have examined that book; this librarian is analogous to a god. In the language of this zone there are still vestiges of the sect that worshiped that distant librarian. Many have gone in search of Him. For a hundred years, men beat every possible path­ and every path in vain. How was one to locate the idolized secret hexagon that sheltered Him? Someone proposed searching by regression: To locate book A, first consult book B, which tells where book A can be found; to lo­ cate book B, first consult book C, and so on, to infinity....It is in ventures such as these that I have squandered and spent my years. I cannot think it unlikely that there is such a total book on some shelf in the universe. I pray to the unknown gods that some man-even a single man, tens of centuries ago-has perused and read that book. If the honor and wisdom and joy of such a reading are not to be my own, then let them be for others. Let heaven exist, though my own place be in hell. Let me be tortured and battered and annihilated, but let there be one instant, one creature, wherein thy enor­mous Library may find its justification.”
— Jorge Luis Borges, The Library of Babel, translated by Andrew Hurley.

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 also actively engage in popular science communication and digital content creation in mathematics and theoretical physics across multiple platforms. 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 2026 reading list.

QFTString
GIF is based on a video by ScienceClic


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.

  • Latest news

    Check this link for the latest updates since 2022: Latest News
  • 2026/01/22 | Our paper "Topological quantum color code model on infinite lattice" is now available on arxiv [arXiv:2601.12409], this is a collaborative with Shiyu Cao and Sheng Tan.
  • 2026/01/12 | Our paper titled "Temporal kirkwood-dirac quasiprobability distribution and unification of temporal state formalisms through temporal bloch tomography" is now available on arxiv [arXiv:2601.05294], this is a collaborative with Kavan Modi and Dagomir Kaszlikowski.
  • 2026/01/10 | I will be leaving NUS-CQT in February and joining the Institute of Quantum Physics, School of Physics, Central South University, as a specially appointed Associate Professor. I will establish a research group focused on interdisciplinary work at the intersection of quantum information, quantum matter, and quantum field theory. More details will be updated later. Welcome to join the group.
  • 2025/11/05 | Our paper titled "Weak Hopf tube algebra for domain walls between 2d gapped phases of Turaev-Viro TQFTs" is now published on arXiv: Journal of High Energy Physics. This is a collaborative work with Sheng Tan.
  • 2025/10/30 | My paper titled "Quantum Cluster State Model with Haagerup Fusion Category Symmetry" is now published on Advanced Quantum Technologies.
  • 2025/10/01 | I have updated my lecture notes on quantum computation theory. Please see this link for the PDF version.
  • 2025/09/19 | Our paper "Subsystem Symmetry-Protected Topological Phases from Subsystem SymTFT of 2-Foliated Exotic Tensor Gauge Theory" is now published on Journal of High Energy Physics. This is a collaborative work with Qiang Jia.
  • 2025/08/11 | I will be a teaching assistant for "PC5228: Quantum Information and Computation" this semester. The instructor is Dagomir Kaszlikowski. Some useful (but non-official) materials will be posted on this link.
  • 2025/08/06 | Our paper titled "Variational Transformer Ansatz for the Density Operator of Steady States in Dissipative Quantum Many-Body Systems" is now published on Physical Review B. This is a collaborative work with Lu Wei, Yufeng Wang, Dagomir Kaszlikowski, Haibin Ling.
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  • 2025/08/04 | My paper titled "Quantum Cluster State Spin Chain with Ising Fusion Category Symmetry: A Perspective from Weak Hopf SymTFT" is now available on arXiv: [arXiv:2508.02424].
  • 2025/07/02 | Our paper titled "Weak Hopf tube algebra for domain walls between 2d gapped phases of Turaev-Viro TQFTs" is now available on arXiv: [arXiv:2507.01515]. This is a collaborative work with Sheng Tan.
  • 2025/06/13 | Our old preprint (2018) is now made published on Entropy: "An efficient algorithmic way to construct Boltzmann machine representations for arbitrary stabilizer code". This is a collaborative work with Yuan-Hang Zhang, Yu-Chun Wu and Guang-Can Guo.
  • 2025/05/28 | Our paper titled "Subsystem Symmetry-Protected Topological Phases from Subsystem SymTFT of 2-Foliated Exotic Tensor Gauge Theory" is now available on arXiv: [arXiv:2505.22261]. This is a collaborative work with Qiang Jia.
  • 2025/02/28 | Our paper titled "Variational Transformer Ansatz for the Density Operator of Steady States in Dissipative Quantum Many-Body Systems" is now available on arXiv: [arXiv:2502.20723]. This is a collaborative work with Lu Wei, Yufeng Wang, Dagomir Kaszlikowski, Haibin Ling.
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