In the quantum metrology problem, one wishes to use a quantum resource to measure a signal with known structure but unknown strength. Consumption of quantum resources allows measurements to be made more precise beyond what is classically possible. Quantum metrology promises to usher in sensors with unprecedented precision. I like to design robust near-term schemes for quantum metrology with noisy probe states, drawing from my experience of designing bespoke quantum codes., and marry the fields of quantum error correction and quantum metrology. To achieve this, I will leverage on my expertise in functional analysis, optimization theory, coding theory, computer programming and properties of quantum hardware such as superconducting qubits and quantum optics.
Quantum error correction protects fragile quantum data. Schemes of quantum error correction can be optimized for different quantum technologies. By optimizations with respect to existing quantum architecture, I investigate bespoke quantum codes for realistic systems that are inherently robust.
Quantum mechanics enhances the precision of measurements. Quantum metrology is a use-case of quantum technologies that promises to allow us to have sensors with unprecedented accuracy. Given my expertise in quantum codes, I investigate quantum metrology through the lenses of quantum coding theory.
A quantum memory is an essential technological primitive for quantum computation and communication. I investigate the potential of boosting the performance of quantum memories using bespoke quantum codes.
I am also interested in quantum cryptography, quantum simulation and quantum computation. For quantum cryptography, I focus on protocols with information-theoretic security, and especially on bosonic cryptographic protocols. For quantum simulation, I am interested in bounds on stochastic Trotterization which has potential applications in quantum chemistry.