Optimal Control for Quantum Optimization of Closed and Open Systems

Optimization is one of the key applications of quantum computing where a quantum speedup has been an eagerly anticipated outcome. A promising approach to optimization using quantum dynamics is to consider a linear combination s(t)B+[1\ensuremath{-}s(t)]Cof two noncommuting Hamiltonians Band C where Cencodes the solution to the optimization problem in its ground state, Bis a Hamiltonian whose ground state is easy to prepare, and...