Research & publications

Research

Quantum information, statistical mechanics, and the numerical methods that connect them.

Latest research

Diffusive Relaxation of Participation Entropy

U(1)-Symmetric Dynamics • Hydrodynamics • Participation Entropy

Shows how U(1) conservation laws slow participation-entropy relaxation through diffusive charge correlations, producing hydrodynamic memory and finite-size crossover behavior.

Participation entropy relaxation plots for Haar-random U(1) brickwork circuit dynamics
Participation-entropy relaxation in the Haar-random U(1) brickwork circuit.

Random Clifford Circuits • Quantum Automata • Participation Entropy

Magic & Participation Entropy at Measurement-Induced Transitions

Random Clifford circuit and quantum automaton circuit diagrams
Random Clifford and quantum automaton circuit architectures used for the participation-entropy analysis.

Studies participation entropy in random Clifford and quantum automaton circuits, using these circuit architectures to diagnose measurement-induced critical behavior.

Hybrid Circuits • Glassy Dynamics • Classical Mapping

Quantum Circuits with Ultraslow Dynamics

Hybrid quantum circuit layer and corresponding classical spin-model phases
Hybrid circuit layer and its classical plaquette-model phase correspondence.

Develops a classical plaquette-model formulation for hybrid quantum circuits, making the local multi-spin interactions and finite-temperature phase structure explicit.

Quantum Error Correction • Stabilizer Codes • Coherent Errors

Coherent Error-Induced Phase Transition

Physical Review B 114, 214106 (2026) · Published

Toric-code checks, logical operators, and coherent error gates
Toric-code checks, logical operators, and the random coherent-error model.

Studies how syndrome measurements respond to coherent unitary errors and identifies a transition where logical information stops being efficiently recoverable.

Plaquette Models • Cellular Automata • Criticality

Plaquette Models & Measurement-Induced Criticality

RTPM and RXPM phase diagram with symmetry-operator snapshots
RTPM/RXPM phase diagram with symmetry-operator snapshots across the transition.

Relates randomized plaquette models to 1+1D cellular-automaton dynamics and connects their criticality to measurement-induced transitions in hybrid quantum circuits.

Cluster States • Transfer Matrices • Sampling Complexity

Entanglement Phase Transitions & Complexity via Ising Models

Roadmap from 2D quantum sampling to Ising partition functions and boundary entanglement
Roadmap from 2D quantum sampling to Ising partition functions and boundary entanglement.

Links boundary-state entanglement transitions in measured cluster states to Ising partition functions with complex parameters and the difficulty of classical sampling.

Publications

  1. [LZC26] , , . Diffusive Relaxation of Participation Entropy in U(1)-symmetric Dynamics. arXiv:2606.11561 (2026). arXiv
  2. [HLZC26] , , , . Critical behaviors of magic and participation entropy at measurement induced phase transitions. arXiv:2603.12626 (2026). arXiv
  3. [RLC25] , , . From Quantum Circuits with Ultraslow Dynamics to Classical Plaquette Models. arXiv:2510.07247 (2025). arXiv
  4. [LC25] , . Coherent error induced phase transition. Physical Review B, 114:214106, 2026. arXiv DOI
  5. [LRC25] , , . Quantum entanglement phase transitions and computational complexity: Insights from Ising models. Physical Review B, 111(2):024312, 2025. DOI
  6. [LC24] , . Plaquette models, cellular automata, and measurement-induced criticality. Journal of Physics A: Mathematical and Theoretical, 57(43):435003, 2024. DOI
  7. [LZC22] , , . Measurement-induced entanglement transition in a two-dimensional shallow circuit. Physical Review B, 106(14):144311, 2022. DOI