Criteria for reachability of quantum states

Details Criteria for reachability of quantum states Criteria for reachability of quantum states

2001-10-30

arxiv.org/abs/quant-ph/0110171v2

J. Phys. A 35, 8551-8562 (2002)

Physics

Quantum Physics

14 pages, IoP LaTeX, first author has moved to Cambridge university (sgs29@cam.ac.uk)

Scientific paper

10.1088/0305-4470/35/40/313

We address the question of which quantum states can be inter-converted under the action of a time-dependent Hamiltonian. In particular, we consider the problem applied to mixed states, and investigate the difference between pure and mixed-state controllability introduced in previous work. We provide a complete characterization of the eigenvalue spectrum for which the state is controllable under the action of the symplectic group. We also address the problem of which states can be prepared if the dynamical Lie group is not sufficiently large to allow the system to be controllable.

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