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arXiv:quant-ph/0512195

Locality of quantum entanglement

Guowen Wang

Published Dec 22, 2005• 0 citations
arXivHTMLPDF

Abstract

This article presents a local realistic interpretation of quantum entanglement. The entanglement is explained as innate interference between the non-empty state associated with the peaked piece of one particle and the empty states associated with the non-peaked pieces of the others of entangled particles, which inseparably join together. The correlation of the results of measurements on the ensemble of composite entangled systems is related to this kind of interference. Consequently, there is no nonlocal influence between entangled particles in measurements. Particularly, this explanation thus rules out the possibility of quantum teleportation which is nowadays considered as one of cornerstones of quantum information processing. Besides, likewise, communication and computation schemes based on alleged spooky action at a distance are unlikely to be promising.

DOI
10.48550/arxiv.quant-ph/0512195

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•Mar 17, 2018•0 citations
This article presents a local realistic interpretation of quantum entanglement. The entanglement is explained as innate interference between the non-empty state associated with the peaked piece of one particle and the empty states associated with the non-peaked pieces of the others of entangled particles, which inseparably join together. The correlation of the results of measurements on the ensemble of composite entangled systems is related to this kind of interference. Consequently, there is no nonlocal influence between entangled particles in measurements. Particularly, this explanation thus rules out the possibility of quantum teleportation which is nowadays considered as one of cornerstones of quantum information processing. Besides, likewise, communication and computation schemes based on alleged spooky action at a distance are unlikely to be promising.
Quantum entanglement is an intriguing concept that is vital to quantum computing, quantum communication and teleportation. The numerous experiments called Bell tests act as evidence of quantum entanglement. However, the exact meaning of quantum entanglement is somewhat vague. One interpretation is the instant inner connection between totally separated entangled particles, or the ‘spooky action at a distance’ termed by Einstein. The paper has examined the Bell tests from different perspectives and discovered that although the Bell tests have disproved the local hidden variable hypothesis and proved nonlocal correlation, they do not automatically endorse any inner connection between totally separated entangled particles, such as superluminal communication and superposition over a large distance. The measurement on one entangled particle does not change the quantum state of its counterpart, so any inner connection is not necessary. The nonlocal correlation shown by Bell tests can be explained by coherence states of entangled particles and the common interaction between particles and measuring instruments. The paper concludes that the essence of quantum entanglement is the coherence of quantum states.
In recent decades it was established that the quantum measurements of physical quantities in space-time points divided by space-like intervals may be correlated. Though such correlation follows from the formulas of quantum mechanics its physics so far remains unclear and there is a number of different and rather contradictory interpretations. They concern particularly the so-called Einstein-Podolsky-Rosen paradox where the momentary action at a distance together with non-local entangled states is used for the interpretation. We assume that the quantum theory can be formulated as local and look for the consequences of this assumption. Accordingly we try to explain the correlation phenomena in a local way looking for the origin of correlation. To exclude a presupposed correlation of participating quantum particles we consider two independent particle sources and two detectors that are independent as well. We show that the origin of the correlation is the feature that the occupation number of a particle (and other its measurable quantities) is formed by a pair of complex conjugated wave functions with in general arbitrary phases. We consider this point as crucial as it provides interpretation of the observed correlation phenomena that may otherwise look puzzling. We briefly discuss a special type of noise that is typical for the quantum correlation phenomena.
One of the key mysteries of quantum mechanics is the apparent faster-than-light communication between entangled particles. This was one of the qualms highlighted by Einstein, Podolsky, and Rosen in their famous EPR paper. Here, the locality of quantum systems and quantum mechanics is analyzed with reference to the phenomena of quantum teleportation. It is found that while information appears as though it is propagating nonlocally, in reality it can be explained using a local theory. The ideas of a nonlocal correlation and nonlocal information must be separated. Particularly, the concept of locally hidden or inaccessible information within subsystems of a wider quantum system is explained. Furthermore, it is shown that while some hidden-variable theories are proposed, they are not experimentally conclusive and do not provide a complete or better explanation of quantum mechanics.
Abstract One of the most surprising consequences of quantum mechanics is the entanglement of two or more distance particles. The “ghost” interference and the “ghost” image experiments demonstrated the astonishing nonlocal behavior of an entangled photon pair. Even though we still have questions in regard to fundamental issues of the entangled quantum systems, quantum entanglement has started to play important roles in quantum information and quantum computation. Quantum teleportation is one of the hot topics. We have demonstrated a quantum teleportation experiment recently. The experimental results proved the working principle of irreversibly teleporting an unknown arbitrary quantum state from one system to another distant system by disassembling into and then later reconstructing from purely classical information and nonclassical EPR correlations. The distinct feature of this experiment is that the complete set of Bell states can be distinguished in the Bell state measurement. Teleportation of a quantum state can thus occur with certainty in principle.
Quantum entanglement is the quintessential characteristic of quantum mechanics and the basis for quantum information processing. When one of two maximally entangled particles is measured, without measurement the state of another one is determined simultaneously no matter how far the two particles is from each other. How can these phenomena take place since no object can move faster than light speed in a vacuum? The key problem is due to the ignorance of the interaction between a particle and a quantum vacuum. Just like the case where a gun suffers recoil from its firing of a bullet, when a particle is created from the quantum vacuum, the vacuum will be somewhat "broken" correspondingly, which can be described by a shadow state in the vacuum. Through their shadows in the vacuum two quantum entangled particles can have a distance-independent instantaneous interaction with each other. Quantum teleportation, quantum swap, and wave function collapse are explained in a similar way. Quantum object can be interpreted as a composite made up of a particle and the shadowed quantum vacuum which is responsible for the wave characteristic of the particle wave duality. The quantum vacuum is not only the origin of all possible kinds of particles, but also the origin and the core of Eastern mystics.
Since his famous discussions with Niels Bohr, Albert Einstein considered quantum entanglement (QE) as a spooky action at a distance, due to the violation of locality necessary so that two entangled particles can share this effect in an instantaneous way despite of being at a great distance from each other, i.e., not being local. In other words, a notification about the change of state in one of them could only cover the space that separates them at a speed superior to that of light, which we know is impossible according to the Theory of Relativity (TR). Besides, QE faces directly the two main pillars of Physics: TR and Quantum Theory (QT); becoming the bone of contention between both theories. Quite the contrary, in this work we will see that QE is the meeting point of both theories, so much so, that QE could be considered as the cornerstone of the Theory of Everything (TOE). Consistent with this, the entangled particles retain certain autonomy unknown to date, and in addition, they will have relativistically entangled alter-egos, which will hold the effect even when the original entangled particles are extremely separated from each other. These alter-egos can be considered as black holes (with their corresponding temperature and entropy) giving rise to a wormhole. This is possible since the locality dilates according to the Lorentz factor, which is accompanied by a contraction in the effective channel and in the temporal delay to cross that channel. All this takes place while space-time is curved (hyperspace) to generate the wormhole between both black holes. In other words, QE is a local effect of infinite range so it does not outpace the speed of light, and therefore QT is a complete theory that does not clash with TR. Finally, everything we have said has direct consequences on the link between entangled particles from the point of view of quantum communications in terms of the channel and its bandwidth, latency, capacity, robustness and security.