Matthew B. Weiss

Research Interests

Quantum information theory and quantum foundations, with emphasis on symmetric informationally complete measurements, mutually unbiased bases, t-designs, and operational reconstructions of quantum theory. Measures of magic and nonclassicality. Generalized probabilistic theories and postclassical modeling beyond physics.

Education

Academic Appointments

Publications

1. G. Cuffaro and M. B. Weiss. Clifford entropy. 2025
2. S. Cepollaro, G. Cuffaro, M. B. Weiss, S. Cusumano, A. Hamma, and S. Lloyd. Stabilizer Entropy of Subspaces. 2025
3. S. Gupta and M. B. Weiss. A simple realization of Weyl-Heisenberg covariant measurements. 2025
4. M. B. Weiss. Characterizing quantum state-space with a single quantum measurement. Phys. Rev. A. 2025
5. R. S. Piera, J. B. DeBrota, M. B. Weiss, G. B. Lemos, J. S. Araújo, G. H. Aguilar, and J. L. Pienaar. Synthesizing the Born rule with reinforcement learning. Physical Review Research. 2025
6. C. Kyeremah, M. Weiss, D. Kandel, D. Haehn, and C. Yelleswarapu. Single-beam digital holographic reconstruction: a phase-support enhanced complex wavefront on phase-only function for twin-image elimination. Journal of Biomedical Optics. 2024
7. M. B. Weiss. Depolarizing Reference Devices in Generalized Probabilistic Theories. 2024
8. C. A. Fuchs, M. B. Weiss, and M. Olshanii. Quantum mechanics? It's all fun and games until someone loses an i. Asian Journal of Physics. 2021

Invited and Contributed Talks

1. Post-classical modeling beyond physics. Quantum Social Science Bootcamp. 2025. Ohio State University
2. A 3-design is (still) all you need. Tufts Quantum Computing Seminar. 2025. Invited talk
3. A 3-design is all you need. APS March Meeting. 2025. Session MAR-G35: Applied Quantum Foundations.
4. Characterizing quantum state-space with a single quantum measurement. 6th Workshop On Algebraic Structures in Quantum Computation. 2025. Leibniz University. Invited talk
5. QBism for the human sciences: elegant tools for post-classical modeling. Quantum Information and Probability: from Foundations to Engineering (QIP24). 2024. Linnaeus University. Invited talk
6. How Quantum is QBism?. The Quantum Reconstruction Program and Beyond. 2023. University of Graz. Invited talk
7. Two Measures of Non-classicality. Seventh Annual CSM Showcase (Poster session). 2023. UMass Boston
8. The Group Inverse for Quantum Information Theory. APS March Meeting. 2023. Session F65: Quantum Field Theories and Foundations.

Grants

• NSF Grant OSI-2328774. ExpandQISE (Track 2: EQUIP-UMB). PI: Robin Cote. 2023—2028.
• NSF Grant PHY-2210495. Symmetric informationally complete measurements and quantum computation. PI: Christopher Fuchs, Blake Stacey. 2022—2026.
• Templeton Foundation Grant 62424. What is Metrology if Quantum Measurements Participate in Making Reality?. PI: Christopher Fuchs, Jacques Pienaar. 2022—2025.

Software

1. cirq_sic. GitHub repository: Python, Cirq. 2025-6. Circuits for implementing multiqubit SIC measurements.
2. magicgap. GitHub repository: Python, Scipy, Jax. 2025. Calculates the average stabilizer entropy of subspaces both exactly and in Monte Carlo approximation.
3. pySimplexEmbedding. GitHub repository: Python. 2023. Port of Mathematica program to witness the non(classicality) of states and effects.
4. qbism and qbuki: python tools for the budding quantum bettabilitarian. GitHub repositories. 2021-present. https://github.com/heyredhat/qbism and https://github.com/heyredhat/qbuki. Helpful functions for working with the probability-first representation of quantum mechanics.
5. spheres: toolbox for higher spin and symmetrization. GitHub repository: Python, Qutip, StrawberryFields, Qiskit. 2021. Developed as part of the Quantum Open Source Foundation's mentorship program. Exploits the Majorana representation of higher spin states to prepare them as symmetric multiqubit states on qubit-based quantum computers and as oscillator states on photonic systems.

Technical Skills

Programming: Python (NumPy, SciPy, JAX, TensorFlow), Cirq, Qiskit, Strawberry Fields; Mathematica; LaTeX; basic C/C++/Java. Mathematics: Frame theory, multilinear algebra, convex geometry, Euclidean Jordan algebras, generalized probabilistic theories. Quantum: Resource theories; SIC-POVMs, MUBs, t-designs; coherent-state and probability-first representations; numerical optimization over measurements. Continuous quantum measurement.

Teaching

• Thermodynamics and E & M at an accelerated pace to undergraduates at UMass Boston.

• Designed an introductory course on quantum foundations for the Osher Lifelong Learning Institute.

• Organized biweekly gatherings for laypeople interested in quantum physics, developing freely available education material: Essays on Quantum Physics.

Service

• Treasurer of the Physics Graduate Club (2022—2026), twice awarded best graduate club at UMass Boston. Organized seminars for graduate students and professors in the Boston area and beyond.
• Refereeing: Entropy, Quantum Journal.

Professional Memberships

• American Physical Society.

Bonus!

• QM acording to a 3-design - Researching publically.
• Essays on Quantum Physics - A pandemic-era archive of quantum tutorials, mixing equations, code, and a little philosophy. Pre-PhD so it may lack a little rigor at times.
• Brooklyn Quantum Channel - Also, check out the archive.