Nevenzeel, K.J. (2010) Spooky Action at Spacy Distances. Bachelor's Thesis, Mathematics.

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Abstract
Three important quantum communication techniques have no classical counterpart: teleportation, single particle distillation and collective distillation. Of several protocols of these quantum communication techniques, the maximum obtainable efficiency is investigated. Two essential factors in the obtainable efficiency are the entanglement fraction x and the number of channels N that two distant communication partners Alice and Bob share, with x between zero and one and N smaller than infinity. If N is smaller than five, single particle distillation allows the highest efficiency while for N equal or larger than five it depends on x and N whether single particle distillation or collective distillation achieves the highest efficiency. The ultimate application of quantum communication protocols is the establishment of a global quantum communication network. Both ESA and NASA finance extensive studies to establish such a network. ESA’s program, the SpaceQUEST program, currently brings the first experimental hardware up to TRL3, launch of this hardware is envisioned for 2015. The fundamental property of quantum mechanics that allows quantum communication is nonlocality. Nonlocal quantum states are entangled, meaning that they show stronger correlations than is possible with classical physics. A superposition of entangled states allows for quantum communication techniques. Paradoxally, superpositions of states are often observed at microscopic scales but never at macroscopic scales, although one can construct situations at which macroscopic superpositions occurs. This mismatch between theory and observations is called the macroobjectivation problem. Today, a discussion about this problem is mainly philosophical, but the loss of entanglement at the inflationary epoch may shed experimental light upon this fundamental problem. PACS: 03.65.Ta, 03.65.Ud, 03.67.Bg, 03.67.Mn, 03.67.a, 03.67.Hk, 04.62.+v, 42.50.Ex, 84.40.Ua and 98.80.Cq.
Item Type:  Thesis (Bachelor's Thesis) 

Degree programme:  Mathematics 
Thesis type:  Bachelor's Thesis 
Language:  English 
Date Deposited:  15 Feb 2018 07:47 
Last Modified:  15 Feb 2018 07:47 
URI:  http://fse.studenttheses.ub.rug.nl/id/eprint/9993 
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