Criteria for reachability of quantum states

Abstract

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.

14 pages, IoP LaTeX, first author has moved to Cambridge university ([email protected])

References in corpus (3)

• Complete controllability of finite-level quantum systems
• Degrees of controllability for quantum systems and applications to atomic systems
• Identification of dynamical Lie algebras for finite-level quantum control systems

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