Universal families and quantum control in infinite dimensions

Details Universal families and quantum control in infinite dimensions Universal families and quantum control in infinite dimensions

2009-02-03

arxiv.org/abs/0902.0561v1

Physics Letters A 373 (2009) 2529-2532

Physics

Quantum Physics

9 pages Latex

Scientific paper

In a topological space, a family of continuous mappings is called universal if its action, in at least one element of the space, is dense. If the mappings are unitary or trace-preserving completely positive, the notion of universality is closely related to the notion of controllability in either closed or open quantum systems. Quantum controllability in infinite dimensions is discussed in this setting and minimal generators are found for full control universal families. Some of the requirements of the operators needed for control in infinite dimensions follow from the properties of the infinite unitary group. Hence, a brief discussed of this group and their appropriate mathematical spaces is also included.

Affiliated with

Also associated with

No associations

Rating

Universal families and quantum control in infinite dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Universal families and quantum control in infinite dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal families and quantum control in infinite dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-298059