2011/11/03 by Ian Hincks, Hincks, Ian N., David G. Cory +3 · 1 citation
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum optics and atomic interactions #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.1111.0944
Given a fixed initial state, a desired Hamiltonian, and an amount of time, we provide a complete characterization of the set of Hamiltonians which perform the same action as the desired Hamiltonian on the state of interest. An example is provided where the desired Hamiltonian lies outside of the control Lie algebra, but implementable Hamiltonians exist within the characterization.