Protected Subspaces in Quantum Information

Details Protected Subspaces in Quantum Information Protected Subspaces in Quantum Information

2009-02-24

arxiv.org/abs/0902.4126v2

Quantum Inf. Process. 9, 343-367 (2010)

Physics

Quantum Physics

final extended version, 19 pages and 9 figures

Scientific paper

In certain situations the state of a quantum system, after transmission through a quantum channel, can be perfectly restored. This can be done by 'coding' the state space of the system before transmission into a 'protected' part of a larger state space, and by applying a proper 'decoding' map afterwards. We investigate two kinds of protected subspaces: the error correction subspaces and the dark subspaces. In neither case information leaks out of the system, but in the second it is more difficult to restore the state. Recent results on higher rank numerical ranges of operators are used to construct examples. In particular, dark spaces are constructed for any map of rank 2, for a biased permutations channel and for certain separable maps acting on multipartite systems. Furthermore, error correction subspaces are provided for a class of three unitary noise models.

Affiliated with

Also associated with

No associations

Rating

Protected Subspaces in Quantum Information 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 Protected Subspaces in Quantum Information, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Protected Subspaces in Quantum Information will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-172302