Fundamentals of Quantum Information

  1. Information theoretic inequalities: quantum entropic inequalities [2] and conjectures [47,48] with implications to capacities of quantum communications[13].
  2. Network science: Percolation theory for generating long-range-connected entangled states for photonic quantum computing [49] and entanglement spreading [26], photonic quantum Ising solvers [50] and the “quantum Tangram” puzzle [51].
  3. Bosonic state preparation: mathematics of non-Gaussian measures and state preparation [52,53], continuous- and discrete-variable entangled states [49,54].