Quantum reference frame: Difference between revisions

Revision as of 00:37, 19 April 2013

Revision as of 03:55, 26 February 2014

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:::<math>n_{max} \simeq \epsilon j^2</math>

So the longevity and the size of the reference frame are of quadratic relation in this particular case.<ref>{{cite journal|last=Bartlett|first=Stephen D.|coauthors=Rudolph, Terry and Spekkens, Robert W.|title=Reference frames, superselection rules, and quantum information|journal=Review of Modern Physics|volume=79|issue=2|monthdate=April–June 2007|pages=555–606|year=2007|doi=10.1103/RevModPhys.79.555|bibcode=2007RvMP...79..555B|arxiv = quant-ph/0610030 }}</ref>

In this spin-<math>j</math> system, the degradation is due to the loss of purity of the reference frame state. On the other hand, degradation can also caused by misalignment of background reference. It has been shown, in such case, the longevity has a linear relation with the size of the reference frame.<ref>{{cite journal| doi = 10.1088/1367-2630/9/5/156| last = Poulin| first = D. |coauthors=J. Yard| title = Dynamics of a quantum reference frame|year=2007|journal=New J. Phys|volume = 9| issue = 5|pages=156|arxiv = quant-ph/0612126 |bibcode = 2007NJPh....9..156P }}</ref>