Physics – Quantum Physics
Scientific paper
2008-07-25
J. Phys. A: Math. Theor. 42, 055301 (2009)
Physics
Quantum Physics
30 pages, replaced with published version
Scientific paper
10.1088/1751-8113/42/5/055301
The interest in decoherence-free, or noiseless subsystems (DFS/NSs) of quantum systems is both of fundamental and practical interest. Understanding the invariance of a set of states under certain transformations is mutually associated with a better understanding of some fundamental aspects of quantum mechanics as well as the practical utility of invariant subsystems. For example, DFS/NSs are potentially useful for protecting quantum information in quantum cryptography and quantum computing as well as enabling universal computation. Here we discuss transformations which are compatible with a DFS/NS that is composed of d-state systems which protect against collective noise. They are compatible in the sense that they do not take the logical (encoded) states outside of the DFS/NS during the transformation. Furthermore, it is shown that the Hamiltonian evolutions derived here can be used to perform universal quantum computation on a three qudit DFS/NS. Many of the methods used in our derivations are directly applicable to a large variety of DFS/NSs. More generally, we may also state that these transformations are compatible with collective motions.
Bishop Allen C.
Byrd Mark S.
No associations
LandOfFree
Compatible Transformations for a Qudit Decoherence-free/Noiseless Encoding 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 Compatible Transformations for a Qudit Decoherence-free/Noiseless Encoding, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compatible Transformations for a Qudit Decoherence-free/Noiseless Encoding will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-314336