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Elementary About Experiments with " Delayed Choice"

V.A. Kasimov

Published Oct 1, 2019• 0 citations
OpenAlex

Abstract

Entanglement can always exist between identical objects by any proper quantum numbers as a manifestation of the fundamental principle of quantum mechanics - the principle of superposition. Consider the phenomenon of quantum entanglement and what are the prospects for its application to the theory of relativity can be a good example of path-entangled photon.

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Entanglement can always exist between identical objects by any proper quantum numbers as a manifestation of the fundamental principle of quantum mechanics - the principle of superposition. Consider the phenomenon of quantum entanglement and what are the prospects for its application to the theory of relativity can be a good example of path-entangled photon.
A quantum entangled state is a quantum superposition state. The principle of quantum superposition, and therefore the existence of quantum entanglement, is contingent upon the validity of quantum theory. Thus, the generation of quantum entanglement requires that interactions occur between small-mass particles localized in a confined spatial region, resulting in each particle’s quantum state being a bound state. In other words, the prerequisite for the validity of quantum theory must be satisfied. At the same time, conserved quantities must exist between quantum superposition states, as only quantum states with conserved quantities can undergo superposition, allowing the particle system to generate quantum entangled states. Quantum entangled states can occur between electrons within an atom, between atoms, between molecules, or between atoms and molecules. Within the atomic nucleus, quantum entanglement can exist among protons, neutrons, and the quarks. In superconductivity, superfluidity, and Bose-Einstein condensation, they manifest as macroscopic quantum entanglement, which respectively come from the statistical results of a large amount of microscopic quantum entanglement between electrons, atoms or molecules. For massive macroscopic objects, they exhibit classical properties that cannot be described by quantum theory, and the principle of quantum superposition does not hold. Therefore, no entangled state is generated. It should be particularly emphasized that even for microscopic particle systems, if they exist in a large spatial region, they cannot be described by quantum theory. In such cases, the quantum superposition principle does not hold, and quantum entanglement phenomena do not exist. Therefore, within a large spatial region, multi-electron, multi-photon, and other microscopic systems do not have quantum entangled states; under certain conditions, quantum correlated states can be generated. Consequently, in a large spatial region, the mainstream viewpoints about non-locality—such as the so-called instantaneous collapse of entangled particles during measurement, infinite propagation speed, and the “spooky action at a distance”—are all incorrect. In experiments related to quantum communication and the verification of Bell’s inequality, the quantum states used are quantum correlated states rather than quantum entangled states. Regardless of whether the systems are microscopic or macroscopic, phenomena occurring in a large spatial region must adhere to the principles of causality, realism, and locality. In other words, Einstein’s viewpoint is correct.
Abstract Entanglement is a fundamental property of quantum mechanics. Certain physical properties of elementary particles like electrons can exist in entangled states. It is also possible for the polarization of photons to become entangled. In some cases, even macroscopic objects like mechanical resonators can exhibit entanglement. Entangled particles show certain correlations in specific measured properties. Entanglement has caused consternation since quantum theory was developed nearly a hundred years ago. The EPR “paradox” is a long standing argument that either quantum mechanics invokes “spooky actions at a distance” or there are parameters that are hidden so that the current theory is incomplete. We will discuss how this apparent paradox can be understood in the context of quantum entanglement. In this paper we provide some examples of useful applications of quantum entanglement that can be simulated in an upper level modern physics course. We describe an interesting search algorithm along with a quantum teleportation scheme that can easily be simulated using MATLAB. Quantum teleportation has been demonstrated over distances of hundreds of kilometers and is useful for secure data transmission.
Abstract Wheeler proposed the "Delayed-Choice" Double-Slit Experiment. Perhaps the quantum delayed eraser experiments revealed Wheeler's unmeasurable phenomenon. However, all quantum delayed eraser experiments involve non-locality between entangled photon pairs, causing the timing relationship between events on the idler path and events on the signal path to not necessarily represent the timing relationship between the correspond events on the signal path. In the quantum delayed eraser experiments, the time distinguishing the path passing through the double-slit on the signal path is when they pass through the slits. Therefore, the quantum delayed eraser experiments do not adhere to the condition in Wheeler's "Delayed-Choice" Double-Slit Experiment, which need the distinction of the photons passing through the double-slit is done after the formation of the fringe pattern. The results of the quantum delayed eraser experiments do not exhibit the unmeasured phenomenon of Wheeler's "Delayed-Choice" Double-Slit Experiment. This paper proposes a method that eliminates the non-locality effects of entangled photons without using entangled photon pairs. By dividing the route of photons passing through the double-slit into two routes and verifying the fringe pattern based on the number of photons on the two routes, Wheeler's notion of an unmeasured phenomenon becomes measurable, thus providing a revelation method of the unmeasured phenomenon in Wheeler's "Delayed-Choice" Double-Slit Experiment.
Abstract Wheeler proposed the "Delayed-Choice" Double-Slit Experiment. Some scholars believe that the quantum delayed eraser experiments reveals Wheeler's unmeasurable phenomenon. However, all quantum delayed eraser experiments involve non-locality between entangled photon pairs, causing the timing relationship between events on the idler path and events on the signal path to not necessarily represent the timing relationship between the correspond events on the signal path. In the quantum delayed eraser experiments, the time distinguishing the path passing through the double-slit on the signal path is when they pass through the slits. Therefore, the quantum delayed eraser experimentsdoes not adhere to the condition in Wheeler's "Delayed-Choice" Double-Slit Experiment, which need the distinction of the photons passing through the double-slit is done after the formation of the fringe pattern. The results of the quantum delayed eraser experimentsdo not exhibit the unmeasured phenomenon of Wheeler's "Delayed-Choice" Double-Slit Experiment.This paper proposes a method that eliminates the non-locality effects of entangled photons without using entangled photon pairs. By dividing the route of photons passing through the double-slit into two routes and verifying the fringe pattern based on the number of photons on the two routes, Wheeler's notion of an unmeasured phenomenon becomes measurable, thus providing a revelation method of the unmeasured phenomenon in Wheeler's "Delayed-Choice" Double-Slit Experiment.
Demonstrations of quantum entanglement which confirm the violation of Bell's inequality indicate that under certain conditions action at a distance is possible. This consequence seems to contradict the relativistic principle of causality, which asserts that an effect never precedes its cause, in any reference frame. By analyzing a numerical example of Bell's experiment with entangled pairs of photons, we show how observers in two inertial reference frames can disagree about the causality relation between two events. One observer claims that event 1 is the cause of event 2, while the other claims that event 1 is the result of event 2. The solution we suggest to the paradox is that in entangled systems, one can find pairs of "entangled events" which have symmetrical causality relations. Each of the events can serve as a cause or as an effect, depending on the frame of reference in which they are observed.