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Topic: CHSH Bell test

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Bell test experiments

EPR paradox

	Information Index - CHSH Bell test . (Site not responding. Last check: 2007-10-14)
		Iռ phуsics, the CHSH Bell test is aռ applicatioռ of Bell's theoɾem, iռteռded to distiռguish betweeռ quaռtum mechaռics (QM) aռd local hiddeռ vaɾiable theoɾу.
		Theу deɾived the CHSH iռequalitу, which, as with Johռ Stewaɾt Bell oɾigiռal oռe (Bell, 1964), applies to a statistical pɾopeɾtу of couռts of "coiռcideռces" iռ a Bell test expeɾimeռts that follows fɾom the assumptioռ that theɾe exist uռdeɾlуiռg local hiddeռ vaɾiables.
		Maռу Bell test expeɾimeռts coռducted subsequeռt to Aspect's secoռd expeɾimeռt iռ 1982 have used the CHSH iռequalitу, estimatiռg the teɾms usiռg (3) aռd assumiռg faiɾ sampliռg.
	chsh.bell.test.en.good-voip.info (1410 words)

	Bell's theorem (Site not responding. Last check: 2007-10-14)
		The CHSH inequality, developed in 1969 by Clauser, Horne, Shimony, and Holt, generalizes Bell's inequality to arbitrary observables.
		Bell's thought experiment is statistical: Alice and Bob must carry out several measurements to obtain P(a+,b+), and the other probabilities.
		Experiments generally test the CHSH generalization of Bell's inequality, and use observables other than spin (which is in practice not easy to measure.) Most use the polarization of photon pairs produced during radioactive decay.
	bopedia.com /en/wikipedia/b/be/bell_s_theorem.html (1326 words)

	[ more-information.be \| Bell's theorem Resources ] (Site not responding. Last check: 2007-10-14)
		Bell's theorem is the legacy of the defunct John Bell.
		Bell compliance experiments to span overwhelmingly bunch that the inequalities of Bell's theorem are violated.
		Bell's inequalities are corroborationed by "coincidence counts" from a Bell compliance enterprise such as the optical sole shown in the diagram.
	www.more-information.be /Bell's_theorem (4097 words)

	EPR paradox
		Of the several objections to quantum mechanics spearheaded by Einstein (who disliked the theory for being probabilistic), the EPR paradox was the subtlest and most successful.
		In 1964, Bell derived the Bell inequalities, showing that quantum mechanics could be experimentally distinguished from a very broad class of local hidden variable theories.
		Beginning in the early 1970s, several experiments have been carried out to test the above results, and Bell's inequality was found to be violated, in one case by tens of standard deviations.
	www.ebroadcast.com.au /lookup/encyclopedia/ep/EPR_paradox.html (1697 words)

	CHSH inequality - Wikipedia, the free encyclopedia
		In physics, the CHSH Bell test is an application of Bell's theorem, intended to distinguish between quantum mechanics (QM) and local hidden variable theories.
		They derived the CHSH inequality, which, as with John Bell's original one (Bell, 1964), applies to a statistical property of counts of "coincidences" in a Bell test experiment that follows from the assumption that there exist underlying local hidden variables.
		Bell, 1971: J. Bell, in Foundations of Quantum Mechanics, Proceedings of the International School of Physics “Enrico Fermi”, Course XLIX, B. d’Espagnat (Ed.) (Academic, New York, 1971), p.
	en.wikipedia.org /wiki/CHSH_Bell_test (1372 words)

	CHSH inequality
		The Clauser-Horne-Shimony-Holt inequality (CHSH), arises in quantum mechanics, in discussion and experimental determination of whether local hidden variables are required for, or even compatible with, the representation of experimental results; with particular relevance to the EPR thought experiment.
		Based on suggestions by John Stewart Bell, CHSH now characterize particular sets of trials through ajustable apparatus parameters, or settings; for instance the set J referring to trials which are characterized by A's setting a
		For certain settings, the corresponding experimentally determined correlation numbers which are necessarily obtained from counts in four disjoint sets of trials, can be found to fail the CHSH inequality with considerable significance; as demonstrated for instance by Aspect et al.
	www.ebroadcast.com.au /lookup/encyclopedia/ch/CHSH_inequality.html (821 words)

	Bell's Theorem (Stanford Encyclopedia of Philosophy)
		Bell suggests that C should consist only of propositions concerning particle 1, for otherwise the outcome of the measurement upon 1 will depend upon what operations are performed upon a remote particle 2, and that would be non-locality.
		In the experiment proposed by CHSH the measurements are polarization analyses with the transmission axis of analyzer I oriented at angles a and a′, and the transmission axis of analyzer II oriented at angles b and b′.
		In the early tests of Bell's Inequalities it was plausible that these Conditions were satisfied just because the 1 and the 2 arms of experiment were spatially well separated in the laboratory frame of reference.
	plato.stanford.edu /entries/bell-theorem (12693 words)

	Bell's_theorem info here at en.1935-chevrolet.info (Site not responding. Last check: 2007-10-14)
		Bell's theorem is the huge point imposing legacy of the unpunctual John Bell.
		John Bell's testimony examined both John von Neumann's 1932 scoop of the incompatibility of concealed variables with QM 'n Albert Einstein 'n her colleagues' seminal 1935 papery on the subject.
		The rarity of quantum entanglement implied by violation of Bell's inequality is virtuous sole root of quantum physics which cannot be represented by a bit classical panorama of physics; backup non-classical principles are complementarity 'n wavefunction collapse.
	en.1935-chevrolet.info /Bell's_theorem (4218 words)

	Bell test experiments (Site not responding. Last check: 2007-10-14)
		Bell's Theorem states that a Bell inequality must be obeyed under any local hidden variable theory but can in certain circumstance be violated under quantum mechanics(QM).
		The term "Bell inequality" can mean any one of a number of inequalities — in practice, in real experiments, the CHSH or CH74 inequality, not the original one derived by John Bell.
		As with the CHSH test, there are four subexperiments in which each polariser takes one of two possible settings, but in addition there are other subexperiments in which one or other polariser or both are absent.
	www.info-pedia.net /about/bell_test_experiments (1245 words)

	Bell test experiments - Wikipedia, the free encyclopedia
		The only theoretical assumption (other than Bell's basic ones of the existence of local hidden variables) that has been made in deriving (3) is that when a polariser is inserted the probability of detection of any given photon is never increased: there is "no enhancement".
		One of the main achievements of this new branch of physics is showing that violation of Bell's inequalities leads to the possibility of a secure information transfer, which utilizes the so-called quantum cryptography (involving entangled states of pairs of particles).
		The second was the first application of the CHSH inequality, the third the famous one (originally suggested by John Bell) in which the choice between the two settings on each side was made during the flight of the photons.
	en.wikipedia.org /wiki/Bell_test_experiments (1586 words)

	Cycles Research Institute - David Elm's EPR Explanation
		To really understand the test and the mistake made in each one you should start with some of the earlier tests which were simpler in their setup since what I am refering to is a fundamental misconception in the formulation of the test and not just a loophole.
		Bell's theorem is based in the idea that the total measurement for two analyzers cannot be more than the sum of the changes in each, if the local view of Einstein holds since changes at A should have no effect on the results measured at B and vice versa.
		Bell's inequality is graphed as a straight line which represents the upper limit in the summation of the 'errors' from both ends of the experiment but Bell mistakenly believes he can plot the maximum measurement of the EPR tests to this same point.
	www.cyclesresearchinstitute.org /physics/elm.html (7299 words)

	Local hidden variable theory (Site not responding. Last check: 2007-10-14)
		When John Bell originally derived his inequality, it was in relation to pairs of indivisible "spin-1/2" particles, every one of those emitted being detected.
		In these circumstances it is found that Local realist assumptions lead to a straight line prediction for the relationship between quantum correlation and the angle between the settings of the two detectors.
		In optical tests, incidentally, it is not certain that the quantum correlation is well-defined.
	local-hidden-variable-theory.iqnaut.net (1247 words)

	Physics, Astronomy, Math, & Philosophy Forums - Nonlocality, EPR, "Spooky" Action at a Distance Explained by ...
		Bell saw that this was not always the case when considering spin polarization components with entangled particles at specific angles.
		Subsequent experimental tests of Bell's Inequalities are consistent with the predictions of QM.
		Bell considered a hypothetical setup in which two observers, now commonly referred to as Alice and Bob, perform independent measurements on a system S prepared in some fixed state.
	physicsmathforums.com /showthread.php?t=44 (2799 words)

	Experimental tests of Bell's inequality
		For timing in a test of Bell's inequality to be conclusive requires that we time the occurrence of a macroscopic event.
		In contrast to previous measurements with massive particles, this violation of Bell's inequality was obtained by use of a complete set of measurements.
		Bell's inequality tests necessitate major improvements of technology in order to finally, after more than 15 years, go significantly beyond the 1982 experiment of Aspect et al.
	www.mtnmath.com /whatrh/node81.html (2118 words)

	Bell state - Wikipedia, the free encyclopedia
		A Bell state is defined as a maximally entangled quantum state of two qubits.
		If the qubits were not in a Bell state before, they get projected into a Bell state (according to the projection rule of quantum measurements), and as Bell states are entangled, a Bell measurement is an entangling operation.
		In Bell measurements of ion qubits in ion trap experiments, the distinction of all four states is possible.
	en.wikipedia.org /wiki/Bell_state (556 words)

	Experimental violation of a Bell's inequality with efficient detection : Nature (Site not responding. Last check: 2007-10-14)
		Early experiments to test Bell's inequalities were subject to two primary, although seemingly implausible, loopholes.
		Clauser, J. and Shimony, A. Bell's theorem: experimental tests and implications.
		Lamehi-Rachti, M. and Mittig, W. Quantum mechanics and hidden variables: a test of Bell's inequality by the measurement of the spin correlation in low-energy proton-proton scattering.
	www.nature.com /nature/journal/v409/n6822/full/409791a0.html (2992 words)

	Crct Practice Test
		Bell test experiments - In quantum mechanics, Bell's Theorem states that a Bell inequality must be obeyed under any local hidden variable theory but can in certain circumstance be violated under quantum mechanics (QM).
		Often a user of a new system is disappointed to find that all is not well with their new set up, crct practice test and one of the most common reasons is that there has been insufficient testing to prove that a particular system will do precisely what was intended.
		Managers are becoming aware of the need to test new products, though often the task of software testing is assigned to a programmer who, although he may have extensive programming experience, has not been trained to test software, crct practice test and is suddenly expected to do so with a strict project deadline approaching.
	www.worlddentalweb.com /crctpracticetest.html (938 words)

	Bell's Theorem with Easy Math
		Bell's Theorem is the most famous legacy of the late great J.S. Bell.
		Published in 1965, Bell's Theorem is famous for drawing an important line in the sand between Quantum Mechanics and the world as we know it intuitively.
		We can test A, B or C one at a time, but there is no way to test for all 3 simultaneously.
	www.drchinese.com /David/Bell_Theorem_Easy_Math.htm (2968 words)

	Bell test simulation
		Aspect) describing the Bell type experiments with singlet "paired photons" showing the violation of Bell’s inequalities and I only have indirect information about their results.
		If I understood correctly, when the Bell testers plot their experimentally obtained coincidences and/or correlations they obtain "cosine type" curves that seem to be a signature of violation of Bell’s inequalities.
		Note: Other simulations and corresponding CHSH correlation tests have been made supposing other detector efficiencies (together with linear response of the detectors with light intensity).
	personales.ya.com /carlosla/model/BELL/bell_simulation.htm (2591 words)

	Art Service Einstein-Podolsky-Rosen-Bohm paradox (Site not responding. Last check: 2007-10-14)
		In 1964, John Stewart Bell showed that the predictions of quantum mechanics in the EPR thouցht experiment are actually sliցhtly different from the predictions of a very broad class of hidden variable theories.
		These differences, expressed usinց inequality known as "Bell's inequalities", are in principle experimentally detectable.
		Some workers in the field have also attempted to formulate hidden variable theories that exploit Bell test loopholes in actual experiments, such as the assumptions made in interpretinց experimental data.
	de_meiental.de.ebbb.info (3109 words)

	[No title]
		I've never done full duplex tests (something on my agenda if I EVER have time) so I don't know how ever one channel manages when both transmitting as fast as it can and being hammered by another transmitter, also going as fast as it can.
		Also included is a 'torture' test that verifies results by testing the value returned by sqrt for several million values throughout the entire range of double precision values.
		You would not have the latest and greatest system, but it might be a great test bed for ideas - testing ideas on large numbers of CPUs (they do not always need to be fast) - lets say 500-1000 would be attractive.
	www.beowulf.org /pipermail/test/1998-October.txt (16764 words)

	page2 (Site not responding. Last check: 2007-10-14)
		The problem of testing for the violation of locality amounts to the linear programming problem of testing for the feasibility of a given set of constraints.
		The problem of finding all the Bell inequalities for any given two-system experiment involves transforming from one representation of the conditional probability space to another.
		For example, in the case of CHSH [5] they proposed an experiment were each apparatus can have two possible settings each; system A has settings a and a', and system B has settings b and b'.
	www.strings.ph.qmw.ac.uk /QI/belltest.htm (691 words)

	ONLamp.com -- Adding a User to FreeBSD -- Part Two
		The origin of the term "gecos" is interesting; when Unix was first being developed at Bell Labs, the main computer ran the General Electric Computer Operating System (gecos), and the information regarding the location of the users using this computer was placed in the "gecos" field of the password file.
		Note that I wasn't prompted for a password, as "test" currently has a blank password.
		This is a pretty effective utility; not only did it remove the user from the password files, it also removed the user's home directory, mail file, and any files belonging to the user in the temporary directories.
	www.onlamp.com /pub/a/bsd/2001/01/10/FreeBSD_Basics.html (2094 words)

	807.htm (Site not responding. Last check: 2007-10-14)
		The filters as test functions and the concept of rigid planet
		A sketch of the derivation of the parametrization
		Unsharp observables, CHSH inequalities and joint measurement of incompatible observables
	www.srlst.com /807.htm (292 words)

	Is Faster-than-light Communication Possible? (Site not responding. Last check: 2007-10-14)
		I have recently been\nstruggling to persuade wikipedia to present what I am sure is "the truth",\nrather than "accepted opinion" in relation to the CHSH Bell test.
		I had,\nwith considerable expenditure of time and energy, created a set of pages\nrelating to the Bell tests and giving at least a hint as to the true\nsituation as regards "loopholes".
		I have recently been\nandgt; struggling to persuade wikipedia to present what I am sure is "the truth",\nandgt; rather than "accepted opinion" in relation to the CHSH Bell test.
	www.physicsforums.com /showthread.php?t=61181 (7647 words)

	Mediasite.com
		From Bell's inequalities to CHSH : from a Gedanken Experiment to the possibility of real...
		The Laser Astrometric Test of Relativity (LATOR) is a Michelson-Morley-type experiment designed to improve current tests of the Einsteinâs theory of...
		Rotational analysis of a vibrational transition in the 199Hg2 molecule: a first step in an...
	www.mediasite.com /?q=laser (201 words)

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