Our research is focused on quantum information science, from an information physics perspective. Quantum information science collectively refers to the theoretical, experimental, and technological aspects of using quantum mechanics for communication and computation.
Our current research efforts are directed towards understanding, modelling, and controlling complex quantum mechanical systems and may be broadly summarized as follows (see publication page for relevant publications):
Quantum Control Theory and Reliable Quantum Information Processing
- » Modeling and control of open quantum systems: Geometric and robust quantum control techniques, open-loop and closed-loop control schemes. Engineered dissipation. Information-theoretic limits of control.
- » Methods for fault-tolerant quantum information processing: Active and passive quantum error correction strategies. Noiseless subsystems and decoherence-free subspaces. Deterministic and random dynamical decoupling, dynamically corrected gates.
- » Physical realizations of quantum information: Liquid and solid-state NMR quantum information processing; quantum dot spin qubits and trapped ions architectures. Implementation of error control benchmarks.
Quantum Correlations and Complexity
- » Quantum entanglement: Characterization and quantification of entanglement. Entanglement beyond subsystems: generalized entanglement. Entanglement, quantum chaos and thermalization.
- » Topological phases of matter: Topological
insulators and topological superconductors, Majorana fermions, quantum
phase transitions, non-equilibrium dynamics.
- » Nonlinear dynamics and complexity: Quantum chaos and quantum randomness. Pseudo-random operators and quantum t-designs. Information-theoretic aspects of quantum non-integrability and complexity.