Editing Tsirelson's bound (section)

==Derivation from physical principles ==

Significant research has been dedicated to finding a physical principle that explains why quantum correlations go only up to the Tsirelson bound and nothing more. Three such principles have been found: no-advantage for non-local computation,<ref>{{cite journal | last1=Linden | first1=Noah | last2=Popescu | first2=Sandu | last3=Short | first3=Anthony J. | last4=Winter | first4=Andreas |author-link4=Andreas Winter| title=Quantum Nonlocality and Beyond: Limits from Nonlocal Computation | journal=Physical Review Letters| volume=99 | issue=18 | date=2007-10-30 | issn=0031-9007 | doi=10.1103/physrevlett.99.180502 | pmid=17995388 | page=180502| bibcode=2007PhRvL..99r0502L | arxiv=quant-ph/0610097 }}</ref> [[information causality]]<ref>{{cite journal | last1=Pawłowski | first1=Marcin | last2=Paterek | first2=Tomasz | last3=Kaszlikowski | first3=Dagomir | last4=Scarani | first4=Valerio | last5=Winter | first5=Andreas |author-link5=Andreas Winter| last6=Żukowski | first6=Marek | title=Information causality as a physical principle | journal=Nature | volume=461 | issue=7267 | year=2009 | issn=0028-0836 | doi=10.1038/nature08400 | pmid=19847260 | pages=1101–1104| bibcode=2009Natur.461.1101P | arxiv=0905.2292 | s2cid=4428663 }}</ref> and macroscopic locality.<ref>{{cite journal | last1=Navascués | first1=Miguel | last2=Wunderlich | first2=Harald | title=A glance beyond the quantum model | journal=Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences | volume=466 | issue=2115 | date=2009-11-11 | issn=1364-5021 | doi=10.1098/rspa.2009.0453 | pages=881–890| doi-access=free | arxiv=0907.0372 }}</ref> That is to say, if one could achieve a CHSH correlation exceeding Tsirelson's bound, all such principles would be violated.
Tsirelson's bound also follows if the Bell experiment admits a strongly positive quantal measure.<ref>{{cite journal | last1=Craig | first1=David | last2=Dowker | first2=Fay |author-link2=Fay Dowker| last3=Henson | first3=Joe | last4=Major | first4=Seth | last5=Rideout | first5=David | last6=Sorkin | first6=Rafael D. |author-link6=Rafael Sorkin | title=A Bell inequality analog in quantum measure theory | journal=Journal of Physics A: Mathematical and Theoretical | volume=40 | issue=3 | year=2007 | issn=1751-8113 | doi=10.1088/1751-8113/40/3/010 | pages=501–523 | arxiv=quant-ph/0605008 | bibcode=2007JPhA...40..501C | s2cid=8706909 }}</ref>