| J. Bell. On the Einstein-Podolsky-Rosen paradox. Physics, 1(3):195--200, 1964. |
....is the erasure of phase states. Just as a single qubit is a computational resource due to superposition of states, an ebit is also a computational resource because it encodes exactly one classical bit of information (one bit being erased) even if the qubits are separated by a large distance [11]. The ebit s property is that of an Einstein Podolsky Rosen (EPR) communications resource. A 0 B 0 (SA SB ) A B 0 A 0 B = a0 b0 0 a0 b1 0 a1 b0 a1 b1 = a0 b0 a1 b1 (13) The number of spinors s=2 contains only even factors, so s 3 = 1 0, so 0 occurs only when 1 1= 0 18 ....
J. Bell (1964), "On the Einstein-Podolsky-Rosen Paradox", Physics, Vol. 1, pp. 195-200.
....group at NIST, Boulder has entangled four ions, shown exceedingly long coherence times for a single qubit, demonstrated high efficiency readout, initialized four atoms into their ground state, and multiplexed atoms between two traps. They have also shown violations of the Bell s inequalities [Bell64] and had many other successes. Their remarkable success and leadership of this effort blazes new frontiers in the experimental approaches to quantum computation, and their progress shows no signs of slowing. Ions of beryllium are held single file. Laser pulses flip individual ions. To implement a ....
John Stewart Bell, "On the Einstein-Podolsky-Rosen Paradox", Physics, Vol. 1 (1964). pp. 195-200.
....adherents such as Gerard t Hooft [18] When one surveys the field though, one finds that despite great effort, a satisfactory derivation of quantum mechanics from a hidden variable perspective still eludes researchers. First in the list of problems which must be overcome is Bell s theorem [19 21] which states that a hidden variable model must have nonlocality or superluminal connections built into it. Bell s theorem is usually thought to be the most decisive objection to hidden variable models. Tachyons certainly provide for the possibility of nonlocality. But then the tachyon theory must ....
John Bell, "On the Einstein-Podolsky-Rosen Paradox", Physics Vol 1, pp. 195 (1964)
....1. It appears that information, i.e. the outcome of Alice s measurement, has somehow traveled to earth instantaneously. Since nothing can travel faster than the speed of light something must be wrong. The EPR paradox has been, and still is, a subject of dispute. Much progress was made when Bell [Bel64] came up with a test that would, in case quantum mechanics was correct, show correlations that could not be explained with just classical reasoning. This test has been done in the lab [ADR82] and these nonclassical correlations have been observed. In the following we will see that this EPR ....
J.S. Bell. On the Einstein-Podolsky-Rosen paradox. Physics, 1, 1964. 14
.... communication may exceed the speed of light Nonlocal e#ects were alluded to in a famous 1935 paper by Einstein, Podolsky, and Rosen [13] Einstein later referred to this as spukhafte Fernwirkungen (spooky actions at a distance) see [12, 25, 30] for more historical background) In 1964, Bell [3] formalized the notion of two particle nonlocality in terms of correlations among probabilities in a scenario where one of a number of a measurements are performed on each particle. He showed that the results of the measurements that occur quantum physically can be correlated in a way that cannot ....
J.S. Bell, On the Einstein-Podolsky-Rosen paradox, Physics, 1 (1964), pp. 195--200.
....of an independent quantum reality , in favor of nonlocality or action at a distance , Einstein challenged the quantum theory with a hypothetical experiment known as the EPR experiment [10] The experiment was reformulated by John Bell based on a modi cation by David Bohm. In 1964, Bell s theorem [2] pointed to the existence of quantum correlations larger than the corresponding bound imposed by local reality assumptions, and which could hopefully be discerned experimentally. Subsequent experimental results have largely supported the nonlocal assumptions, even though critics have attempted to ....
J. Bell, \On the Einstein Podolsky Rosen Paradox", Physica, 1964.
.... the fact that the predictions of quantum theory are correct in experiments of this kind actually show that information must be transferred 12 instantaneously, in some (Lorentz) frame of reference The usual arguments that connect these experiments to nonlocal action stem from the work of John Bell (1964). What Bell did was this. He noted that the argument of Einstein, Podolsky, and Rosen was based on a certain assumption, namely that Physical Reality , whatever it was, should have at least one key property: What is physically real in one region cannot depend upon which experiment an experimenter ....
Bell, J. 1964 On the Einstein Podolsky Rosen Paradox.
....entanglement and no communication, but which would require communication in the classical world. They also give upper and lower bounds on the amount of classical communication needed to simulate EPR pairs. Their results may be viewed as quantitative extensions of the famous Bell inequalities [6]. ffl Las Vegas protocols. In this paper we just considered two modes of computation: exact and bounded error. An intermediate type of protocols are zero error or Las Vegas protocols. These never output an incorrect answer, but may claim ignorance with probability at most 1 2. Some quantum14 ....
J. S. Bell. On the Einstein-Podolsky-Rosen paradox. Physics, 1:195--200, 1965.
....separated regions (1987c) 2. Bell s inequality is maximally violated in many eld theories in every normal state (for appropriate spacelike separated regions) 1987c) It is well known, however, that the problem of local hidden variables has been associated with Bell s inequalities since Bell s work (1964, 1966, 1971) The typical core of reasoning in Bell type papers is this: T is an Einstein local hidden variable theory of quantum mechanics 1 T is Bell local 2 Bell s inequalities hold; but Bell s inequalities 3 are violated by quantum mechanics (and, as far as we can tell on the basis of ....
Bell, J.S. (1964), \On the Einstein-Podolsky-Rosen Paradox", Physics 1: 195-200.
....mean values over many instances of quantities with the same stochastic behavior within a single system. Precise concepts and traditional results about complementarity, uncertainty and nonlocality follow with a minimum of technicalities. In particular, nonlocal correlations predicted by Bell [2] and rst detected by Aspect [1] are shown to be already consequences of the nature of quantum mechanical ensembles and do not depend on hidden variables or on counterfactual reasoning. The concept of probability itself is derived from that of an ensemble by means 3 of a formula motivated from ....
....The LORD, according to Isaiah, ca. 540 B.C. 37] Before they call I will answer; while they are still speaking I will hear. The LORD, according to Isaiah, ca. 540 B.C. 38] A famous feature of quantum physics is its intrinsic nonlocality, expressed by so called Bell inequalities (cf. Bell [2], Clauser Shimony [12] The formulation given here depends on the most orthodox part of quantum mechanics only; it does not, as is usually done, refer to hidden variables, and involves no counterfactual reasoning. 6.1 Theorem. Let f k (k = 1; 2; 3; 4) be Hermitian quantities satisfying f 2 ....
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J.S. Bell, On the Einstein Podolsky Rosen paradox, Physics 1 (1964), 195-200. (Reprinted in [76].)
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John S. Bell, On the Einstein Podolsky Rosen paradox, ' ' Physics 1, 195 200 ( 1964). Reprinted in Ref. 25, pp. 403 408.
.... the EinsteinPodolsky Rosen problem [1] A pair of spin 1 2 particles initially in j Psi in i = jk 1 k 2i Omega 1 p 2 (j 1 # 2 i;j# 1 2 i) # (1) where 1 and 2 are the particle labels and k stands for the particle spatial mode, is split apart [2] Delimited by Bell s inequality [3], a set of spin measurements along specic directions leads to a conAEict between the predictions of quantum mechanics and the concepts of reality and locality as originally de ned in [1] Yet, experimental imperfection tends to erase the contradiction, and auxiliary assumptions are required to ....
J. S. Bell. On the Einstein Podolsky Rosen Paradox.Physics,1(3), 195, (1964).
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Bell, J. S. On the Einstein-Podolsky-Rosen paradox. Physics 1, 195-200 (1965).
....can find in the mathematical physics literature a number of theorems that, given an empirically observed set of probabilities, allow to state whether they admit a classical or alternatively a nonclassical probabilistic model. The most popular of such criteria where derived in the sixties by Bell (1964) within the specific physical context of the so called Einstein Podolsky Rosen paradox: they are universally referred to as Bell inequalities . 1 I received substantial help from my father Enrico G. a theoretical physicist at the University of Genoa (Italy) Many thanks to Domenico Costantini ....
Bell, J. S. (1964): "On the Einstein-Podolsky-Rosen Paradox," Physics, 1, 195-200.
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J. Bell. On the Einstein-Podolsky-Rosen paradox. Physics, 1(3):195--200, 1964.
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J.S. Bell, "On the Einstein-Podolsky-Rosen paradox", Physics, Vol. 1, 1964, pp. 195--200.
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J. S. Bell, On the Einstein-Podolsky-Rosen paradox, Physics, Vol. 1, pp. 195--200, 1964.
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J.S. Bell, "On the Einstein-Podolsky-Rosen paradox," Physics. 1, (1964.
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J.S. Bell. On the Einstein-Podolsky-Rosen paradox. Physics, 1:195--200, 1964.
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J.S. Bell, On the Einstein Podolsky Rosen paradox, Physics 1 (1964), 195-200. (Reprinted in [82].)
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J.S. Bell, "On the Einstein-Podolsky-Rosen paradox", Physics, Volume 1, pp. 195--200, 1964.
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J. Bell. "On the Einstein-Podolsky-Rosen Paradox". Physics. Vol. 1, pp. 195-200, 1964.
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Bell J S On the Einstein-Podolsky-Rosen paradox, Physics 1 195--200, 1964
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Bell, J. S., "On the Einstein Podolsky Rosen Paradox," Physics 1, 195--200 (1964).
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S. Bell, J. S. On the Einstein Podolsky Rosen paradox, Physics, 1 #1964#, 195#200. Reprinted in #19# pp. 403#408, and in #2# pp. 14#21.
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