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arXiv:2308.16114 · Physical Review A

Advantages of quantum communication revealed by the reexamination of hyperbit theory limitations

Giovanni Scala, Seyed Arash Ghoreishi, Marcin Pawłowski

Published Feb 21, 2024• 5 citations
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Abstract

Paw\l{}owski and Winter's hyperbit theory, proposed in 2012, presented itself as an alternative to quantum theory, suggesting novel ways of redefining entanglement and classical communication paradigms. This research undertakes a meticulous reevaluation of hyperbit theory, uncovering significant operational constraints that question its equivalence with quantum mechanics. Crucially, the supposition that hyperbit theory and quantum theory are equivalent relies on the receiver having unattainable additional knowledge about the sender's laboratory, indicating that the work by Paw\l{}owski and Winter is incorrect. This study accentuates the constraints of hyperbits in information processing and sheds light on the superiority of quantum communication, thereby advancing the investigation at the intersection of classical and quantum communication.

DOI
10.1103/physreva.109.022230

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Paw\l{}owski and Winter's hyperbit theory, proposed in 2012, presented itself as an alternative to quantum theory, suggesting novel ways of redefining entanglement and classical communication paradigms. This research undertakes a meticulous reevaluation of hyperbit theory, uncovering significant operational constraints that question its equivalence with quantum mechanics. Crucially, the supposition that hyperbit theory and quantum theory are equivalent relies on the receiver having unattainable additional knowledge about the sender's laboratory, indicating that the work by Paw\l{}owski and Winter is incorrect. This study accentuates the constraints of hyperbits in information processing and sheds light on the superiority of quantum communication, thereby advancing the investigation at the intersection of classical and quantum communication.
Quantum communication represents a revolutionary advancement over classical information theory, which leverages unique quantum mechanics properties like entanglement to achieve unprecedented capabilities in secure and efficient information transmission. Unlike bits in classical communication, quantum communication utilizes qubits in superposition states, allowing for novel information storage and processing. Entanglement, a key quantum phenomenon, enables advanced protocols with enhanced security and processing power. This paper provides a comprehensive overview of quantum communication, emphasizing the role of entanglement in theoretical foundations, practical protocols, experimental progress, and security implications. It contrasts quantum communications potential applications with classical networks, identifying areas where entanglement offers significant advantages. The paper explores the fundamentals of quantum mechanics in communication, the physical realization of quantum information, and the formation of secure quantum networks through entanglement-based strategies like Quantum Key Distribution (QKD) and teleportation. It addresses the challenges of long-distance quantum communication, the role of quantum repeaters in scaling networks, and the conceptualization of interconnected quantum networks. Additionally, it discusses strides towards the Quantum Internet, Quantum Error-Correcting codes, and quantum cryptographys role in ensuring secure communication. By highlighting the role of entanglement, this paper aims to inspire further research and innovation in secure and efficient information exchange within quantum networks.
Information theory has its particles, bits and qubits, just as physics has electrons and photons. However, in physics we have a special category of objects with no clear counterparts in information theory: quasiparticles. They are introduced to simplify complex emergent phenomena making otherwise very difficult calculations possible and providing additional insight into the inner workings of the system. We show that we can adopt a similar approach in information theory. We introduce the hyperbits, information quasiparticles which we prove to be a resource equivalent to entanglement and classical communication, and we give examples of how they can be used to simplify calculations and get more insight into communication protocols.
We investigate the quantum advantage that can arise in typical two-party communication scenarios, where the sender and the receiver are allowed to share prior correlations. Focusing on communication tasks constrained by the distinguishability of the sender's inputs, we demonstrate that entanglement-assisted communication with both classical and quantum message can outperform classical communication supplemented with shared randomness. We begin by developing a general framework for communication tasks with pre-shared correlations. Within this framework, we establish an equivalence among entanglement-assisted classical communication, entanglement-assisted quantum communication, and quantum communication, showing that no hierarchy exists between these three paradigms. We then investigate the scenario where the receiver has no input and prove that no advantage can arise in this case. However, an advantage in the entanglement-assisted setting emerges once additional constraints are imposed on the dimension of the communicated message. This further highlights the superiority of entanglement-assisted classical communication over standard quantum communication. Then we demonstrate several tasks where the entanglement-assisted protocol using one-bit communication proves to be advantageous over classical communication. Finally, by constructing an explicit class of communication tasks, we show that a non-maximally entangled states outperform the maximally entangled state as a pre-shared resource between the communicating parties.
The quantum switch has been witnessing growing attention in the last years due to its advantage in several quantum technologies applications. In particular, it has been proven that the quantum switch can significantly improve the communication rates beyond the limits of conventional quantum Shannon theory. In this paper, we theoretically prove that the quantum switch can be interpreted as a particular instance of the Environment-assisted quantum communication paradigm. The developed analysis is crucial to better understand the limitations of the quantum switch. Furthermore, the analysis is key to shed the light on control strategies within the Environment-assisted communication paradigm.
This paper explores the potential of quantum entanglement for novel information encoding and transmission methods, moving beyond conventional quantum key distribution (QKD) and quantum channel approaches. The core claim is that leveraging the non-locality inherent in quantum entanglement allows for the theoretical possibility of superluminal information transfer and secure communication, circumventing the limitations imposed by classical physics. The proposed mechanism involves designing encoding schemes utilizing entangled photons or superconducting qubits, meticulously controlling the generation, transmission, and measurement of these entangled states to achieve quantum teleportation and, ultimately, information transfer. We present a fundamentally new approach by focusing directly on entanglement as the information carrier, rather than relying on intermediary protocols. This work lays the groundwork for a paradigm shift in information technology, potentially leading to transformative advancements in communication and computation. The primary focus is on the theoretical framework and potential encoding strategies, omitting experimental details.
Introduction.The field of quantum communication represents a fundamental shift in the way information is transmitted and secured.Classical communication systems, relying on classical bits, are vulnerable to eavesdropping due to their deterministic nature.Quantum communication, based on the principles of quantum mechanics, employs qubits and entanglement to provide a novel approach to secure information transfer.This paper explores the foundational concepts, recent developments, and future prospects of quantum communication. Quantum Key Distribution.A pivotal utility within the realm of quantum communication is Quantum Key Distribution (QKD), a concept initially formulated by Bennett and Brassard in 1984 [1].QKD capitalizes on the unique attributes of quantum states to establish a secure key shared between two communicating parties.This cryptographic key serves the dual purpose of encoding and decoding messages, rendering any surreptitious interception unmistakably conspicuous.Entanglement in Quantum Communication.Entanglement, a phenomenon that gained fame through the exposition by Einstein, Podolsky, and Rosen in their 1935 publication [2], assumes a pivotal role in the domain of quantum communication.Entangled qubits exhibit an intricate correlation, where any measurement performed on one qubit instantaneously influences its entangled counterpart, irrespective of the spatial separation between them.This distinctive property is skillfully employed to identify any covert surveillance in Quantum Key Distribution (QKD) systems, thus fortifying the security of the communication channel. Recent Advancements, Challenges and Future Directions.In recent times, quantum communication has experienced substantial progress.Remarkable breakthroughs encompass the deployment of satellite-based quantum communication systems to ensure global, secure information exchange [3], alongside the creation of pragmatic Quantum Key Distribution (QKD) devices tailored for real-world use [4].These strides serve to propel quantum communication further toward its practical and extensive realization.While quantum communication has made notable headway, it is not without its lingering hurdles.These encompass the necessity for innovating quantum repeater technologies, which are instrumental in augmenting the reach of quantum communication.Additionally, the mitigation of environmental interference in quantum channels remains a formidable challenge.Moreover, there exists a pressing demand for standardization and the enhancement of interoperability within quantum protocols.Continuous research endeavors persist in tackling these issues and propelling the field forward [5]. Conclusion.Quantum communication represents a paradigm shift in secure information transfer, with quantum entanglement at its core.Recent advancements