Random circuits and random linear-optical circuits

Our group is interesting studying the properties of random circuits acting on qubits and random linear-optical circuits acting on bosonic modes. We are particularly interested in the relationship between entanglement and hardness of classically simulating these circuits. Of interest are noise, mid-circuit measurements, circuit learning, and state learning.
Sample of Related Publications
Entanglement and Circuit Complexity in Finite-Depth Random Linear Optical Networks
, , arXiv:2604.14277, (2026)Shou et al_2026_Entanglement and circuit complexity in finite-depth random linear optical.pdfNoise-Induced Contraction of MPO Truncation Errors in Noisy Random Circuits and Lindbladian Dynamics
, , arXiv:2603.20400, (2026)Wei et al_2026_Noise-induced contraction of MPO truncation errors in noisy random circuits and.pdfButterfly Echo Protocol for Axis-Agnostic Heisenberg-Limited Metrology
, , arXiv, (2026)Bringewatt et al_2026_Butterfly Echo Protocol for Axis-Agnostic Heisenberg-Limited Metrology.pdfMeasurement-Induced Entanglement in Noisy 2D Random Clifford Circuits
, , arXiv:2510.12743, (2025)Wei et al_2025_Measurement-induced entanglement in noisy 2D random Clifford circuits.pdfHigher Moment Theory and Learnability of Bosonic States
, , arXiv:2510.01610, (2025)Iosue et al_2025_Higher moment theory and learnability of bosonic states.pdfEfficiently Learning Fermionic Unitaries with Few Non-Gaussian Gates
, , arXiv:2504.15356, (2025)Austin et al_2025_Efficiently learning fermionic unitaries with few non-Gaussian gates.pdfAverage Renyi Entanglement Entropy in Gaussian Boson Sampling
, , Phys. Rev. Research, 7, (2025)PhysRevResearch.7.023125.pdfThe Second Moment of Hafnians in Gaussian Boson Sampling
, , Phys. Rev. A, 111, (2025)PhysRevA.111.042412.pdfTransition of Anticoncentration in Gaussian Boson Sampling
, , Phys. Rev. Lett., 134, (2025)PhysRevLett.134.140601.pdfProjective Toric Designs, Difference Sets, and Quantum State Designs
, , Quantum, 8, (2024)q-2024-12-03-1546.pdfA Sharp Phase Transition in Linear Cross-Entropy Benchmarking
, , arXiv:2305.04954 [cond-mat, physics:quant-ph], (2023)Ware et al_2023_A sharp phase transition in linear cross-entropy benchmarking.pdfComplexity Phase Transitions Generated by Entanglement
, , Phys. Rev. Lett., 131, (2023)Ghosh et al_2022_Sharp complexity phase transitions generated by entanglement.pdfPage curves and typical entanglement in linear optics
, , Quantum, 7, (2023)Iosue et al. - 2023 - Page curves and typical entanglement in linear opt.pdfTight bounds on the convergence of noisy random circuits to the uniform distribution
, , PRX Quantum, 3, (2022)PRXQuantum.3.040329.pdfMeasurement-induced quantum phases realized in a trapped-ion quantum computer
, , Nature Physics, 18, 760-764, (2022)Minimal Model for Fast Scrambling
, , Physical Review Letters, 125, (2020)balyansky20supp.pdfbalyansky20.pdfClassical Models of Entanglement in Monitored Random Circuits
, , arXiv:2004.06736, (2020)2004.06736.pdf