- Conference date: 19–24 August 2008
- Location: Calgary (Canada)
Not only preparation of a state but also control of a state via unitary evolution or measurement are important in quantum informatics. Such a control is usually performed by unitary evolution (measurement) of a state as a whole or by evolution of the subsystems. We define a generalized evolution of quantum states based on selection of subspaces of states of a quantum system which evolve, for some reason, as an aggregate. Such a procedure can be considered as control of ‘subsystems’ both in composite and non‐composite quantum systems. The concepts of partial reduction, partial unitary evolution and partial diagonalization emerge naturally in this approach. We introduce partial eigenvalue problem for an operator. At the end we consider an example of a 5‐dimensional system in which control of 2.5‐dimensional ‘subsystem’ is being maintained.
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