Are right angles special? The optimal primitive reference frame

Details Are right angles special? The optimal primitive reference frame Are right angles special? The optimal primitive reference frame

2010-11-18

arxiv.org/abs/1011.4252v2

Phys. Rev. A 84, 012306 (2011)

Physics

Quantum Physics

9 pages, 3 figures, v2 has minor corrections and elaborations, including an extra appendix. Published version

Scientific paper

10.1103/PhysRevA.84.012306

We consider the smallest possible directional reference frames allowed and determine the best one can ever do in preserving quantum information in various scenarios. We find that for the preservation of a single spin state, two orthogonal spins are optimal primitive reference frames, and in a product state do approximately 22% as well as an infinite-sized classical frame. By adding a small amount of entanglement to the reference frame this can be raised to 2(2/3)^5 = 26%. Under the different criterion of entanglement-preservation a very similar optimal reference frame is found, however this time for spins aligned at an optimal angle of 87 degrees. In this case 24% of the negativity is preserved. The classical limit is considered numerically, and indicates under the criterion of entanglement preservation, that 90 degrees is selected out non-monotonically, with a peak optimal angle of 96.5 degrees for L = 3 spins.

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