Research
Direction 01
I study how noise and open-system dynamics shape quantum memories and mixed-state phases. Markov length and conditional mutual information reveal correlations beyond local observables and provide diagnostics for fault tolerance. My recent work also probes their limits: local dissipation can generate infinite Markov length arbitrarily quickly, without necessarily implying slow relaxation to a steady state.
Direction 02
I investigate how symmetry and fermion-parity constraints shape entanglement and communication. Recent work establishes nonadditivity of entanglement of purification for Werner states and of Rényi entanglement of purification. In fermionic quantum Shannon theory, collective preparation and encoding can outperform what single-copy quantities suggest. I study these effects through explicit, solvable models, alongside the role of symmetry in sustaining entanglement at high temperatures.
Direction 03
I study when physical information can be learned, decoded, or represented efficiently from accessible data. This includes phases that are hard to learn from local data and diagnostics for when quantum memories admit local versus global recovery.
Direction 04
I develop analytic and numerical tools for fermionic many-body systems. For Gaussian states, I study how covariance-matrix constraints lead to controlled product-state approximations, finite de Finetti theorems, and recovery guarantees. This includes bounds on energies and free energies of quadratic Hamiltonians and criteria for Gaussian extendibility. My numerical work uses quantum Monte Carlo to study fermionic criticality and reduce sign-problem barriers.