Email: zijian [dot] song [at] stonybrook [dot] edu
Office: Math Tower 5-104
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News
News
09.29.2025 We posted a paper to arXiv.
09.08.2025 - 09.11.2025 I attended the KITP conference: Quantum Many-body Physics through the Lens of Quantum Error Correction.
08.18.2025 - 08.22. 2025 I co-organized a quantum education event for high school students at the New York Hall of Science.
07.14.2025 -07.18.2025 I attended the study group for non-Abelian anyons in the Perimeter Institute.
06.28.2025 - 07.03.2025 I co-organize two events for high school teachers and students on learning quantum information and computing.
07.01.2025 I start my new job as a Postdoc at YITP, Stony Brook University.
06.18.2025 - 06.27.2025 I drive across the continent from California to New York.
06.12.2025 Finally I get my Ph. D.
05.23.2025 We post a paper on arXiv.
04.07.2025 - 04.10.2025 I attend the generalized symmetry conference at KITP, UC Santa Barbara.
03.16.2025 - 03.22.2025 I attend the March Meeting 2025 and give a talk there.
02.23.2025 - 02.28.2025 I attend the QIP 2025 conference and present a poster there.
02.04.2025 I get an offer for postdoc from YITP, Stony Brook University.
11.18.2024 We post a paper on arXiv.
09.26.2024 I give a talk at the Department of Mathematics at Ohio State University, invited by Prof. Kaifeng Bu.
08.14.2024 Visit Prof. Author Jaffe's Group at Harvard University
08.12.2024 - 08.16.2024 Attend the Quantum Simulation 2024 conference and present a poster.
07.26.2024 I give a talk at C.N.Yang Institute for Theoretical Physics at Stony Brook University, invited by Prof. Tzu-Chieh Wei.
07.22.2024-07.26.2024 I attend the Princeton Summer School on Condensed Matter Physics.
I'm a postdoctoral associate at the C. N. Yang Institute for Theoretical Physics. I earned my Ph. D. at UC Davis. My research interests primarily lie in the fields of quantum information and theoretical condensed matter physics. My research interests lie at the intersection between topological phases of matter and quantum error correction. Specifically, I focus on:
(1) applying adaptive quantum circuits for preparing ground states of topological phases and performing universal quantum computations,
(2) investigating general properties of topological phases, including generalized symmetries, gauging dualities, and topological defects,
(3) exploring topological invariants and classifications of mixed-state SPTs and topological orders,
(4) exploring the mathematical aspect of topological phases, including topological field theory and (higher)-category theory, and investigating their applications in topological quantum memory and topological quantum computation.
Preprints and Publications
Preprints and Publications
Zijian Song, Jian-Hao Zhang
Strong-to-weak spontaneous symmetry breaking of higher-form non-invertible symmetries in Kitaev's quantum double model
arXiv: 2509.24179Rohith Sajith, Zijian Song, Brenden Roberts, Varun Menon, and Yabo Li
Non-Clifford gates between stabilizer codes via non-Abelian topological order
arXiv:2505.18265Yabo Li, Zijian Song, Aleksander Kubica, and Isaac H. Kim
Domain walls from SPT-sewing
arXiv:2411.11967Zijian Song, Guanyu Zhu
Magic Boundaries of 3D Color Codes
Quantum, arXiv: 2404.05033Zijian Song, Isaac H. Kim,
Qubit recycling and the path counting problem
Phys. Rev. A 108, 042416 , arXiv: 2301.03725Zijian Song, Arpit Dua, Wilbur Shirley and Dominic J. Williamson,
Topological defect networks representations of fracton stabilizer codes
PRX Quantum 4 (1), 010304 , arXiv: 2112.14717
Incoming Preprints
Incoming Preprints
Collaborate with Isaac H. Kim and Timothy Hsieh
A Mixed-State topological invariant
Ongoing Projects
Ongoing Projects
Understanding the generalized Nishimori condition for general decoherence channels and topological orders (with Carolyn Zhang, Rohith Sajith, and Yuanjie Ren)
Education
Education
09. 2014 - 06. 2018 B.S. (Physics), Nankai University
supervised by Prof. Xue-Qian Li08. 2018 - 05. 2020. M.A. (Physics), Stony Brook University
supervised by Prof. Tzu-Chieh Wei09. 2020 - 06. 2025. Ph. D. (Physics), University of California, Davis
supervised by Prof. Isaac H. Kim
Intern
Intern
07. 2016 - 10. 2016 Visiting student, Lund University,
supervised by Prof. Roman Pasechnik07. 2017 - 12. 2017 Visiting student, University of Pennsylvania
supervised by Prof. Ron Donagi
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