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arXiv:quant-ph/9808019

Are quantum teleportation and cryptography predicted by quantum mechanics?

M. V. Lokajíček

Published Aug 12, 1998• 0 citations
arXivHTMLPDF

Abstract

It has been shown that the predictions of some new phenomena (e.g., teleportation and cryptography) are based on some assumptions added to the quantum-mechanical model or modifying some of its basic axioms. The hitherto experiments presented as a support of the mentioned phenomena may be hardly regarded as sufficient, as they may be interpreted alternatively on the basis of simple interference processes.

DOI
10.48550/arxiv.quant-ph/9808019

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It has been shown that the predictions of some new phenomena (e.g., teleportation and cryptography) are based on some assumptions added to the quantum-mechanical model or modifying some of its basic axioms. The hitherto experiments presented as a support of the mentioned phenomena may be hardly regarded as sufficient, as they may be interpreted alternatively on the basis of simple interference processes.
Abstract: The mathematical formalism of quantum mechanics has achieved undeniable success over the past century, yet its interpretation remains persistently divided. The Copenhagen, Many-Worlds, and Quantum Bayesian interpretations—none can coherently address the recurring "observer participation" issue in quantum phenomena without introducing additional ad hoc assumptions. This paper argues that this division does not stem from deficiencies in mathematical formalism, but from a deeper paradigmatic presupposition: that quantum mechanics is tacitly regarded as a theory of "matter itself." This paper proposes a different perspective: quantum mechanics is not a theory describing the properties of matter itself, but a theory describing the rules by which information is translated from a global potential state to a local manifest state when material systems couple with cognitive systems—what this paper terms the "Mind-Matter Linkage." Based on the axiom of "Mind-Matter Unity," this paper defines three layers of function (Ontological Function, Differentiation Function, Manifestation Function), and repositions quantum mechanics as the mathematical formal system of translation rules between the Differentiation Function and the Manifestation Function. From this axiom, this paper successively derives five core phenomena that require ad hoc assumptions within the matter-only framework—the delayed-choice experiment, the quantum eraser experiment, quantum entanglement, the quantum Zeno effect, and the "Hard Problem" of consciousness—demonstrating how a single set of premises naturally yields these phenomena without the need for additional assumptions for each individual phenomenon. Comparative analysis shows that, in the specific dimension of "number of assumptions required to explain the fivefold dilemma," the framework proposed here exhibits structural advantages, though these advantages remain at the level of explanatory power and have not yet been extended to mathematical formalization or predictive power. This paper does not deny the reality of matter, does not modify the mathematical formalism of quantum mechanics, and does not replace existing interpretations, but rather offers a supplementary perspectival shift at the epistemological level.
With the advent of quantum technology, the exploration of quantum teleportation has become increasingly important, and it has provided a glimpse of the potential of quantum information science. The current research delves into the background of quantum teleportation, emphasizing its key role in advancing quantum communication and computation. Implications of this research are that it has the potential to revolutionize data transmission and processing, providing a secure and efficient means of exchanging quantum information. This paper is structured to provide a comprehensive study of quantum teleportation, starting with a literature review that lays the foundation for our work. Afterward, the details of our research are presented, including the theoretical framework and the proposed methodology for realizing the quantum teleportation protocol. We provide a careful overview of the technical details, demonstrating the complexity of quantum state preparation, entanglement distribution, and Bell state measurements. Our empirical section demonstrates the practical application of these protocols, providing empirical evidence of successful teleportation of quantum states. The theoretical predictions are confirmed by the experimental results, which validate the feasibility and reliability of our approach. Conclusions drawn from the experiments emphasize the robustness of quantum teleportation as a viable technology for future quantum networks.
Historically, the scientific exploration of new phenomena has often been guided by systematic studies of observations, i.e., experimentally verifiable facts, which can be used as the basis to construct the underlying physical laws. As the apex of the investigations, one tries to identify the minimal set of fundamental assumptions – referred to as the axioms – needed to describe correctly the experimental observations. Even though the axioms form the basis to predict the system's behavior completely, they themselves have no rigorous derivation or interpretation. Thus, the axioms must be viewed as the elementary postulates that allow us to formulate a systematic description of the studied system based on well-defined logical reasoning. Even though it might seem unsatisfactory that axioms cannot be “derived,” one has to acknowledge the paramount power of well-postulated axioms to predict even the most exotic effects. As is well known, the theory of classical mechanics can be constructed using only the three Newtonian axioms. On this basis, an infinite variety of phenomena can be explained, ranging from the cyclic planetary motion all the way to the classical chaos. In this book, we are mainly interested in understanding how the axioms of classical and quantum mechanics can be applied to obtain a systematic description for the phenomena of interest. Especially, we want to understand how many-particle systems can be modeled, how quantum features of light emerge, and how these two aspects can be combined and utilized to explore new intriguing phenomena in semiconductor quantum optics.
With the advent of quantum technology, the exploration of quantum teleportation has become increasingly important, and it has provided a glimpse of the potential of quantum information science. The current research delves into the background of quantum teleportation, emphasizing its key role in advancing quantum communication and computation. Implications of this research are that it has the potential to revolutionize data transmission and processing, providing a secure and efficient means of exchanging quantum information. This paper is structured to provide a comprehensive study of quantum teleportation, starting with a literature review that lays the foundation for our work. Afterward, the details of our research are presented, including the theoretical framework and the proposed methodology for realizing the quantum teleportation protocol. We provide a careful overview of the technical details, demonstrating the complexity of quantum state preparation, entanglement distribution, and Bell state measurements. Our empirical section demonstrates the practical application of these protocols, providing empirical evidence of successful teleportation of quantum states. The theoretical predictions are confirmed by the experimental results, which validate the feasibility and reliability of our approach. Conclusions drawn from the experiments emphasize the robustness of quantum teleportation as a viable technology for future quantum networks.
The standard Copenhagen interpretation of quantum mechanics relies on a set of historically established, ad hoc postulates to describe particle-wave duality, measurement, and non-locality. In this paper, we propose a single foundational axiom that fully reproduces the standard mathematical formalism of quantum mechanics while eliminating the need for supplementary assumptions. From this singular postulate, we rigorously derive the fundamental origin of the wave function and the mathematical generator of the Schrödinger equation. Furthermore, we demonstrate via isomorfism that all seemingly inexplicable quantum phenomena—including wave-function collapse and quantum entanglement—are mathematically and conceptually reducible to the underlying dynamics of the double-slit experiment. By establishing a direct fundamental correlation between the double-slit interference mechanism and the Monty Hall phenomenon, we prove that these effects are distinct manifestations of the exact same principle. We framed the double-slit experiment as an interference of the space of possibilities affected by information and simetrys. Ultimately, by anchoring the existing quantum mathematical framework to this unique axiom, this work provides a coherent, paradox-free ontological foundation that resolves the interpretational crisis of quantum mechanics without altering its empirical predictive power.