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Quantum coherence is the essence of quantum entanglement

Xianming Meng

Published May 24, 2026• 0 citations
Publisher

Abstract

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.

DOI
10.1007/s44418-026-00007-x

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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.
Abstract Claims that entanglement, or non-local interaction ("spooky action-at-a-distance), has been experimentally proven are false. The claims are based entirely on the fact that the results of experiments performed to test that issue (EPR-Bohm experiments) violate various theoretical inequalities (Bell Inequalities).The various Bell Inequalities used to interpret the results of EPR-Bohm experiments are shown to be inappropriate for such experiments. The inequalities do not correctly provide for the correlation between the particles in each pair, which is the essence of such experiments; and therefore the inequalities are irrelevant. Claims that the results of such experiments, because they violate the inequalities, require the conclusion that the measurement of one particle in an "entangled" pair can instantly affect the state of its partner, even at great distances, are untrue and need to be modified.
Quantum entanglement—the instantaneous correlation of measurements on spatially separated particles—has been described as 'spooky action at a distance.' This paper proposes that entanglement requires no action and involves no distance: entangled particles are nodes on the same standing wave. We prove four theorems establishing the mathematical equivalence: (1) standing wave nodes are correlated by identity, not communication; (2) phase coherence requires identical frequency; (3) quantum phase equals wave phase; (4) entangled particles are phase-locked by conservation laws. This interpretation explains why entanglement is instantaneous (no signal travels—the wave is already correlated everywhere), why no information can be transmitted (measurement outcomes are random), and why entanglement is fragile (any frequency perturbation breaks coherence). The standing wave interpretation is compatible with Bell's theorem because standing waves are nonlocal by definition—Bell forbids only local hidden variables. We propose testable predictions including correlation between entanglement fidelity and frequency precision, and the possibility of 'harmonic entanglement' between particles at resonant frequency ratios.
In the 80 years since the seminal Einstein, Podolsky, and Rosen (EPR) paper, physicists and philosophers have mused about the `spooky action at a distance' aspect of quantum mechanics that so bothered Einstein. In his formal analysis of EPR-type entangled quantum states, Bell (1964) concluded that any hidden variable theory designed to reproduce the predictions of quantum mechanics must necessarily be nonlocal and allow superluminal interactions. This doesn't immediately imply that nonlocality is a characteristic feature of quantum mechanics let alone a fundamental property of nature; however, many physicists and philosophers of science do harbor this belief. Experts in the field often use the term `nonlocality' to designate particular non-classical aspects of quantum entanglement and do not confuse the term with superluminal interactions. However, many physicists seem to take the term more literally. I endeavor to disabuse the latter of this notion by emphasizing that the correlations of Bell-type entanglement are a result of ordinary quantum superposition with no need to introduce nonlocality. The conclusion of the EPR paper wasn't that quantum mechanics is nonlocal but rather that it is an incomplete description of reality. For different reasons, many physicists, including me, agree with Einstein that quantum mechanics is necessarily an incomplete description of reality.
Quantum entanglement, a quintessential feature of quantum mechanics, has profound implications on our understanding of the fundamental nature of reality. This phenomenon, in which quantum particles exhibit correlations that defy classical intuition, has captivated physicists and philosophers alike. The existence of nonlocal correlations, a hallmark of entanglement, challenges the principles of local realism and calls into question our notions of causality and locality. This paper explores the theoretical foundations, experimental evidence, and interpretations surrounding quantum entanglement and nonlocal correlations. It delves into the historical context, highlighting the pioneering work of physicists such as Einstein, Podolsky, Rosen, and Bell, whose contributions paved the way for our current understanding of this enigmatic concept. The paper also examines the potential applications of entanglement in fields such as quantum computing, cryptography, and communication, underscoring its technological significance. Furthermore, it discusses the philosophical implications of nonlocal correlations, shedding light on the ongoing debates surrounding the interpretation of quantum mechanics and the nature of reality itself. Keywords: Quantum entanglement, Nonlocal correlations, Local realism, Causality, Locality, Quantum mechanics, Experimental evidence, Theoretical foundations, Einstein-Podolsky-Rosen (EPR) paradox, Bell's theorem, Quantum computing.
The study of nature at the smallest scales, known as quantum physics, has uncovered occurrences that defy conventional wisdom. Among them, one of the most enigmatic and exciting discoveries is quantum entanglement. When two or more particles become correlated to the point that, regardless of the distance between them, the state of one particle is instantly connected to the state of the other, this is known as entanglement. Once referred to by Einstein as "spooky action at a distance," this phenomenon has developed from a theoretical curiosity to a fundamental component of contemporary quantum technologies. Next-generation communication technologies are among its most revolutionary uses. The power of computational devices using silicon-based integrated circuits has advanced dramatically during the last few decades. Since the gadgets' size will soon approach atomic scales, this remarkable technological advancement based on the principles of classical physics cannot continue eternally. Quantum mechanics would control how these devices operate at these extreme natural regimes. In order to demonstrate drastically new kinds of computing and communication with quantum mechanical states of physical systems, physicists and computer scientists have developed concepts that take advantage of the quantum mechanical behavior of these devices. A basic and fascinating phenomenon in quantum mechanics, quantum entanglement occurs when two or more particles become correlated to the point where the state of one instantly affects the state of the other, regardless of the distance between them. This study explores the theoretical underpinnings of quantum entanglement, including its mathematical formulation, important experimental validations, and implications for new technologies. We will talk about this in this paper. Quantum communication via quantum entanglement.
An exploration of quantum entanglement and the ways in which it contradicts our everyday assumptions about the ultimate nature of reality. Quantum physics is notable for its brazen defiance of common sense. (Think of Schrödinger's Cat, famously both dead and alive.) An especially rigorous form of quantum contradiction occurs in experiments with entangled particles. Our common assumption is that objects have properties whether or not anyone is observing them, and the measurement of one can't affect the other. Quantum entanglement—called by Einstein “spooky action at a distance”—rejects this assumption, offering impeccable reasoning and irrefutable evidence of the opposite. Is quantum entanglement mystical, or just mystifying? In this volume in the MIT Press Essential Knowledge series, Jed Brody equips readers to decide for themselves. He explains how our commonsense assumptions impose constraints—from which entangled particles break free. Brody explores such concepts as local realism, Bell's inequality, polarization, time dilation, and special relativity. He introduces readers to imaginary physicists Alice and Bob and their photon analyses; points out that it's easier to reject falsehood than establish the truth; and reports that some physicists explain entanglement by arguing that we live in a cross-section of a higher-dimensional reality. He examines a variety of viewpoints held by physicists, including quantum decoherence, Niels Bohr's Copenhagen interpretation, genuine fortuitousness, and QBism. This relatively recent interpretation, an abbreviation of “quantum Bayesianism,” holds that there's no such thing as an absolutely accurate, objective probability “out there,” that quantum mechanical probabilities are subjective judgments, and there's no “action at a distance,” spooky or otherwise.