Minimum Time in Quantum State Transitions: Dynamical Foundations and Applications

Alexandre Coutinho Lisboa, José Roberto Castilho Piqueira · InTech eBooks · 2016

This chapter is about the minimum time evolution between two quantum states considering the dynamics obeying either time-invariant Hamiltonians or time-varying ones. Merit figures are defined to help quantum control designers to define optimization parameters. The expressions are derived from the time-energy uncertainty relations and a practical case is studied as an example.

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