9,519 research outputs found

### Mermin's Suggestion and the Nature of Bohr's Action-at-a-Distance Influence

Mermin suggests comparing my recent proof of quantum nonlocality to Bohr's
reply to Einstein, Podolsky, and Rosen. Doing so leads naturally to the insight
that the nonlocal influence deduced from the analysis of the Hardy experiment
is the same as the nonlocal influence deduced by Bohr, and used by him to block
the application of the criterion of physical reality proposed by Einstein,
Podolsky, and Rosen. However, the greater sophistication of the Hardy
experiment, as contrasted to the experiment considered by Bohr and the three
authors, exposes more clearly than before the nature of this influence, and
thereby strengthens Bohr's position.Comment: 7page

### Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm experiments:A discrete data driven approach

We take the point of view that building a one-way bridge from experimental data to mathematical models instead of the other way around avoids running into controversies resulting from attaching meaning to the symbols used in the latter. In particular, we show that adopting this view offers new perspectives for constructing mathematical models for and interpreting the results of Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm experiments. We first prove new Bell-type inequalities constraining the values of the four correlations obtained by performing Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm experiments under four different conditions. The proof is â€śmodel-freeâ€ť in the sense that it does not refer to any mathematical model that one imagines to have produced the data. The constraints only depend on the number of quadruples obtained by reshuffling the data in the four data sets without changing the values of the correlations. These new inequalities reduce to model-free versions of the well-known Bell-type inequalities if the maximum fraction of quadruples is equal to one. Being model-free, a violation of the latter by experimental data implies that not all the data in the four data sets can be reshuffled to form quadruples. Furthermore, being model-free inequalities, a violation of the latter by experimental data only implies that any mathematical model assumed to produce this data does not apply. Starting from the data obtained by performing Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm experiments, we construct instead of postulate mathematical models that describe the main features of these data. The mathematical framework of plausible reasoning is applied to reproducible and robust data, yielding without using any concept of quantum theory, the expression of the correlation for a system of two spin-1/2 objects in the singlet state. Next, we apply Bell's theorem to the Sternâ€“Gerlach experiment and demonstrate how the requirement of separability leads to the quantum-theoretical description of the averages and correlations obtained from an Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm experiment. We analyze the data of an Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm experiment and debunk the popular statement that Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm experiments have vindicated quantum theory. We argue that it is not quantum theory but the processing of data from EPRB experiments that should be questioned. We perform Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm experiments on a superconducting quantum information processor to show that the event-by-event generation of discrete data can yield results that are in good agreement with the quantum-theoretical description of the Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm thought experiment. We demonstrate that a stochastic and a subquantum model can also produce data that are in excellent agreement with the quantum-theoretical description of the Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm thought experiment.</p

### Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm experiments:A discrete data driven approach

We take the point of view that building a one-way bridge from experimental data to mathematical models instead of the other way around avoids running into controversies resulting from attaching meaning to the symbols used in the latter. In particular, we show that adopting this view offers new perspectives for constructing mathematical models for and interpreting the results of Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm experiments. We first prove new Bell-type inequalities constraining the values of the four correlations obtained by performing Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm experiments under four different conditions. The proof is â€śmodel-freeâ€ť in the sense that it does not refer to any mathematical model that one imagines to have produced the data. The constraints only depend on the number of quadruples obtained by reshuffling the data in the four data sets without changing the values of the correlations. These new inequalities reduce to model-free versions of the well-known Bell-type inequalities if the maximum fraction of quadruples is equal to one. Being model-free, a violation of the latter by experimental data implies that not all the data in the four data sets can be reshuffled to form quadruples. Furthermore, being model-free inequalities, a violation of the latter by experimental data only implies that any mathematical model assumed to produce this data does not apply. Starting from the data obtained by performing Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm experiments, we construct instead of postulate mathematical models that describe the main features of these data. The mathematical framework of plausible reasoning is applied to reproducible and robust data, yielding without using any concept of quantum theory, the expression of the correlation for a system of two spin-1/2 objects in the singlet state. Next, we apply Bell's theorem to the Sternâ€“Gerlach experiment and demonstrate how the requirement of separability leads to the quantum-theoretical description of the averages and correlations obtained from an Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm experiment. We analyze the data of an Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm experiment and debunk the popular statement that Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm experiments have vindicated quantum theory. We argue that it is not quantum theory but the processing of data from EPRB experiments that should be questioned. We perform Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm experiments on a superconducting quantum information processor to show that the event-by-event generation of discrete data can yield results that are in good agreement with the quantum-theoretical description of the Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm thought experiment. We demonstrate that a stochastic and a subquantum model can also produce data that are in excellent agreement with the quantum-theoretical description of the Einsteinâ€“Podolskyâ€“Rosenâ€“Bohm thought experiment.</p

### Einstein-Podolsky-Rosen correlations from colliding Bose-Einstein condensates

We propose an experiment which can demonstrate quantum correlations in a
physical scenario as discussed in the seminal work of Einstein, Podolsky and
Rosen. Momentum-entangled massive particles are produced via the four-wave
mixing process of two colliding Bose-Einstein condensates. The particles'
quantum correlations can be shown in a double double-slit experiment or via
ghost interference.Comment: 5 pages, 5 figures, published versio

### Communication cost of breaking the Bell barrier

Correlations in an Einstein-Podolsky-Rosen-Bohm experiment can be made
stronger than quantum correlations by allowing a single bit of classical
communication between the two sides of the experiment.Comment: One new reference referring to a maximal algebraic violation of the
Clauser-Horne-Shimony-Holt (CHSH) inequalit

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