Research Overview

My field of interest is Quantum Information & Quantum Computation and its intersection with Condensed Matter Physics and Quantum Optics (light-matter interaction). I am primarily interested in foundations of quantum theory, correlations (entanglement), open systems & decoherence, near term quantum algorithms and protocols, architecture of quantum computing (via graph theory and distributed approach) and realization of quantum information processing (QIP) via cavity/circuit-QED, ion traps, and topological matter. Condensed Matter aspects such as correlated quantum matter, magnetism in quantum theory and many-body systems also concern my interest. Quantum optics aspects of my interests include light-matter interaction which is very well exploited for QIP via cavity-QED theory, and measurements in quantum optics. More details topic-wise is given below.

Quantum Information and
Quantum Computing

• Architecture of quantum computers, especially the approach of distributed quantum computing. Alternative approaches in monolithic architectures using graph theory (perfect transfer schemes and architectures)
• Quantum Error Correction (QEC) protocols (general correction codes, topological codes, surface codes, etc.) for near term NISQ (Noisy Intermediate Scale Quantum) quantum computers
• Theory of entanglement and general correlations for many-qubit system and mixed states, and entanglement purification
• Quantum Communication over noisy channels
• Development of quantum algorithms for problems in linear algebra (hybrid quantum-classical and variational algorithms) for near term devices and long term scalable quantum technology
• Quantum programming, testing, and benchmarking in variety of platforms and hardware implementations (IBM Qiskit, Rigetti systems, Xanadu Pennylane, Microsoft Q#, IonQ, and adiabatic annealer(s) – DWave)
• [Learning] Quantum Machine learning and advanced numerics for large scale simulations

Quantum Optics

• Light matter interaction over different coupling regimes (Jaynes-Tavis-Cummings, approximations, strong and ultrastrong coupling)
• Cavity quantumelectrodynamics (Cavity-QED) and Circuit-QED (superconducting qubit architecture)
• Open Quantum Systems (Master Equations, Lindbladian, Quantum Langevin Equations (QLEs)) in Markovian and non-Born-Markovian systems
• Design of superconducting quantum circuits (SQCs) and scalable architecture with waveguide-QED systems (including chiral quantum networks)
• Input/Output theory in circuit-QED
• Theory of quantum decoherence in complex quantum systems
• Ion-trap theory and quantum optics of the QIP implementation with NV-centre

Condensed Matter

• Topology in condensed matter systems (Quantum fractional Hall effect and further)
• Quantum Annealing (QA) with Ising and Heisenberg models with various coupling and connectivity configurations
• Quantum many-body physics
• Magnetism in complex systems
• Many-body Hamiltonians in 1+ dimensions (Hubbard, Anderson, Haldane, etc.)
• Berry phases, geometric phases, and topological phases in condensed matter systems
• [non-expertise] Topological Quantum Computing with anyons