Making Convexifications Practical in Quantum Information Theory     

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Making Convexifications Practical in Quantum Information Theory - overview


Abstract:

Quantum key distribution and related work on quantum channels is one of the best developed applications of quantum technologies in practice, making secure communication possible over hundred-mile-long optical fibers, for example. The information-theoretic study of such quantum channels is well developed in theory, but less than well developed in practice. This project builds on recent work on semidefinite programming relaxations for polynomial optimisation to improve our understanding of the capacity of certain quantum channels, empirically. The work will involve both, analytical (information-theoretic) and practical (Python-based) aspects.

 

Required Skills:

  • An interest in (non-commutative) polynomial optimisation
  • Some knowledge of, and interest in, quantum information theory
  • Some knowledge of, and interest in, semidefinite programming
  • Programming skills in Python are essential