Jiangwei Shang

I am a faculty member at Beijing Institute of Technology (BIT). I got…

Research Interests: My research is concerned with the efficient and reliable characterization, verification, and validation (QCVV) of quantum states, processes, and devices, and with using tools such as convex optimization, semidefinite programming, compressed sensing, and modern Monte Carlo to make these tasks practical.

Quantum state & process verification (QSV / QPV). Designing efficient, statistically rigorous protocols that certify a target state or gate using only local or experimentally friendly measurements, including Dicke states, GHZ states, W states, arbitrary entangled states, stabilizer states, and continuous-variable states.
Quantum state & process tomography (QST / QPT). Fast maximum-likelihood reconstruction, corrupted-sensing tomography that tolerates structured noise, neural-network–assisted error-mitigated tomography, and self-calibrating tomography with proper error bars.
Convex optimization for quantum information. SDPs, projected-gradient methods, Gilbert-type algorithms, and SLOCC-aware convex relaxations — used for entanglement detection, distance-based entanglement measures, fidelity estimation, and optimal verification.
Multipartite entanglement. Genuine multipartite entanglement measures, geometric-mean concurrence, entanglement distillation, and the certification of bound entangled states.

Some questions I am excited about

QCVV tools in large system. Designing efficient QCVV tools for large systems, and use them in the NISQ era.

Recent / selected work

Quantum State Tomography

Superfast maximum-likelihood reconstruction for quantum tomography — Physical Review A 95, 062336 (2017).
Corrupted sensing quantum state tomography — New Journal of Physics 27, 054501 (2025). [Joint reconstruction of a quantum state and its structured noise from simple Pauli measurements.]

Quantum State Verification

Prescriptive preparation and verification of nonstabilizer states — Physical Review Applied 26, 014074 (2026). [QSV is lifted from a diagnostic tool to a prescriptive framework that specifies optimal measurements and informs the preparation loop in real time, without full tomography.]
Efficient verification of arbitrary entangled states with homogeneous local measurements — Advanced Quantum Technologies 6, 2300083 (2023). [A systematic, choice-independent protocol design for verifying arbitrary entangled states with Pauli projections.]
Statistical methods for quantum state verification and fidelity estimation — Advanced Quantum Technologies 5, 2100126 (2022). [A review of the statistical hypothesis-testing framework that underpins modern QSV.]
Efficient experimental verification of quantum gates with local operations — Physical Review Letters 128, 020502 (2022), Editors’ Suggestion. [Experimental QGV on a CNOT and a Toffoli gate, using only local operations and reaching 99% / 97% confidence with thousands of measurements.]
Universally optimal verification of entangled states with nondemolition measurements — Physical Review Letters 126, 090504 (2021). [A sequential, non-demolition protocol that matches the optimal global strategy for Bell, two-qubit pure, and stabilizer states, while preserving the unmeasured copies.]
Optimal verification of general bipartite pure states — npj Quantum Information 5, 112 (2019).
Efficient verification of Dicke states — Physical Review Applied 12, 044020 (2019).

Parameter Estimation

Multipartite entanglement measures: a review — Fundamental Research 5, 2489 (2025). [A comprehensive review of the theory of multipartite entanglement measures, with emphasis on their operational meaning.]
Estimating many properties of a quantum state via quantum reservoir processing — Physical Review Research 6, 013211 (2024). [A single local measurement setting, combined with a quantum reservoir, classically approximates arbitrary states; estimating M properties scales only logarithmically.]
Geometric mean of bipartite concurrences as a genuine multipartite entanglement measure — Physical Review Research 4, 023059 (2022).
Convex optimization over classes of multiparticle entanglement — Physical Review Letters 120, 050506 (2018).

For a full list, organized by year or by category, see the publications page.

Workshops and community

I co-organize the International Workshop on Quantum Characterization, Verification, and Validation (IWQCVV) series, with Huangjun Zhu (Fudan), You Zhou (Fudan), and Yan-Xin Li (Fudan). IWQCVV brings together theorists and experimentalists working on scalable QCVV — verification, tomography, entanglement detection, randomized measurements, classical shadows, and the fundamental complexity of all of the above. The first time (IWQCVV 2023) and the second (IWQCVV 2025, held at Fudan University, Shanghai) are listed on the workshop site.

If you are working on QCVV and would like to be added to a future mailing list, feel free to drop me a line.

Students and postdocs

I am always happy to hear from motivated students and postdocs who want to work on QCVV, convex optimization for quantum information, or collective-measurement-based quantum information processing. Please email me with a brief description of your background and interests.