I work on the foundations of quantum information theory and its scientific applications.

Research interests

• Quantum Shannon theory, quantum error correction and fault-tolerant quantum computing
• Computational number theory, algebraic geometry and the arithmetic of quantum circuits
• Algorithms, optimization and computational complexity theory
• Quantum field theory and mathematical physics
• Machine learning theory and applications

Select publications

• Quantum Optimization: Potential, Challenges, and the Path Forward -
• Local additivity revisited -
• Generating ray class fields of real quadratic fields via complex equiangular lines -
• A framework for approximating qubit unitaries -
• A framework for exact synthesis -
• Bulk-edge correspondence in (2+1)D-dimensional Abelian topological phases -
• Quantum communication with Gaussian channels of zero quantum capacity -
• Faithful squashed entanglement -
• Quantum communication with zero-capacity channels -
• Optimal quantum source coding with quantum side information at the encoder and decoder -
• Exact cost of redistributing multipartite quantum states -
• Quantum broadcast channels -
• A decoupling approach to the quantum capacity -
• The Jones polynomial: quantum algorithms and applications to quantum complexity theory -
• Dynamics of a quantum reference frame -
• Capacity theorems for quantum multiple access channels -