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Zhian Jia | 贾治安


欢迎来到我的主页！ 我主要从事数学物理与理论物理方向的研究，侧重探究奠定量子理论之基础的数学结构，以及这些结构在量子场论、量子物质的量子相、量子信息与量子计算中的具体体现。近年的研究重点在于拓扑场论及其晶格实现（即拓扑序），并探讨场论与晶格框架下的广义对称性。我最初在量子信息与量子计算理论方向开展研究，因此也持续关注量子信息与量子计算中的传统课题。同时，我对高能物理、量子物质与量子信息科学之间的交叉领域极感兴趣，尤其致力于运用量子信息的方法研究量子场论与凝聚态体系。
$$ \operatorname{Hopf}: \mu\circ (\operatorname{id}\otimes S) \circ \Delta = \eta\circ \varepsilon = \mu \circ (S\otimes \operatorname{id}) \circ \Delta$$ $$\operatorname{Bulk-Boundary}: \mathsf{Bulk} \simeq Z(\mathsf{Boundary}) $$ $$\operatorname{TQFT}: \mathsf{Cob}_{d+1} \to \mathsf{Hilb} $$ $$\operatorname{QECC}: \mathsf{R}\circ \mathsf{E}(\varrho) \propto \varrho $$ $$\text{index}(D) = \int_{{T^*}M} \text{Ch} (\psi(\sigma_H(D))) \wedge \text{Td}(M)$$ $$\operatorname{Anyon condensation}: \mathbf{C} \to \mathsf{Mod}_L(\mathbf{C})= \mathbf{C}_L$$ $$\operatorname{SymTFT}: \mathbf{B}_{sym} + Z(\mathbf{B}_{sym}) + \mathbf{B}_{phys} $$ 更多细节请参看我的 研究页面 以及 论文列表. 如果你对这些内容感兴趣，欢迎通过邮件联系我。

诚然，我们极少信任比自己更好的人。我们甚至宁可避免与他们的来往。 相反，我们最常吐露心迹的，是与我们相似，与我们有着共同弱点的人。因此，我们并不希望改掉自己的弱点，也并不希望变得更好。我们只是希望，在我们的道路上受到相互的怜悯和鼓励。
— 阿尔贝·加缪《堕落》

除数学与物理研究之外，我亦喜爱阅读与写作，比较喜欢的作品包括《百年孤独》、《堂吉诃德》、《白鲸》、《卡拉马佐夫兄弟》、《在路上》《暗淡蓝点》等作品，同时也乐于旅行。 我的2025阅读列表可参看 此页面。

QFTString
此GIF基于ScienceClic的视频

Arxiv阅读

  • : 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.

    • 最新动态

  • 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.
  • 2025/09/19 | 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.
  • 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.
  • 2024/12/27 | My paper titled "Quantum Cluster State Model with Haagerup Fusion Category Symmetry" is now available on arXiv: [arXiv:2412.19657].
  • 2024/12/19 | My paper titled "Weak Hopf non-invertible symmetry-protected topological spin liquid and lattice realization of (1+1)D symmetry topological field theory" is now available on arXiv: [arXiv:2412.15336].
    • ...
  • 2024/09/27 | Our paper, titled "Shedding Light on the Future: Exploring Quantum Neural Networks through Optics," is now published on Advanced Quantum Technologies. [arXiv: 2409.02533] This is a collaborative work with Shang Yu, Aonan Zhang, Ewan Mer, Zhenghao Li, Valerio Crescimanna, Kuan-Cheng Chen, Raj B. Patel, Ian A. Walmsley, and Dagomir Kaszlikowski.
  • 2024/09/20 | The paper titled "Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation" is now published on Journal of High Energy Physics, here is the link.
  • 2024/09/06 | The paper titled "Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation" is now accepted for publication in Journal of High Energy Physics.
  • 2024/09/04 | Our paper titled "Shedding Light on the Future: Exploring Quantum Neural Networks through Optics" is now available on arXiv [arXiv: 2409.02533], collaborative work with Shang Yu, Aonan Zhang, Ewan Mer, Zhenghao Li, Valerio Crescimanna, Kuan-Cheng Chen, Raj B. Patel, Ian A. Walmsley, and Dagomir Kaszlikowski.
  • 2024/08/04 | Our paper titled "The spatiotemporal doubled density operator: a unified framework for analyzing spatial and temporal quantum processes" is now published on Advanced Quantum Technologies, collaborative work with Dagomir Kaszlikowski
  • 2024/08/01 | I will be a teaching assistant for "PC5228: Quantum Information and Computation" this semester. The instructor is Dagomir Kaszlikowski. Some useful materials will be posted on this link.
  • 2024/07/29 | Our paper titled "Antilinear superoperator, quantum geometric invariance, and antilinear symmetry for higher-dimensional quantum systems" is now published on Quantum Information Processing, collaborative work with Lu Wei, Dagomir Kaszlikowski and Sheng Tan, [arXiv: 2202.10989].
  • 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.
  • 2024/07/23 | The paper "Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model" is now published on Journal of High Energy Physics, collaborative work with Dagomir Kaszlikowski and Sheng Tan, [arXiv: 2403.04446].
  • 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].
  • 2024/06/10 | The paper titled "Electric-magnetic duality and Z2 symmetry enriched Abelian lattice gauge theory" is now published on Journal of Physics A: Mathematical and Theoretical, collaborative work with Dagomir Kaszlikowski and Sheng Tan, [arXiv:2201.12361].
  • 2024/05/16 | The paper titled "Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation" is now is now available on arXiv [arXiv:2405.09277].
  • 2024/03/13 | The paper titled "Unification of spatiotemporal quantum formalisms: mapping between process and pseudo-density matrices via multiple-time states" is now published on New journal of physics,a collaborative work with Xiangjing Liu, Yixian Qiu, Fei Li, and Oscar Dahlsten.
  • 2024/03/08 | The paper titled "Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model" is now available on arxiv, collaborative work with Sheng Tan, Dagomir Kaszlikowski.
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