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International Journal of Communication Systems

Modified quantum superdense coding for distributed communications

Sándor Imre

Published Jul 25, 2014• 5 citations
Publisher

Abstract

SUMMARY The efficiency of medium access control strongly influences the performance of distributed wireless networks. Collisions in the channel and unused timeslots result in poor performance. On the other hand, quantum superdense coding proved that entanglement‐assisted quantum communications can improve the data transmission rates compared with classical systems. It allows sending two classical bits from one party to another in exchange of one quantum bit and a pre‐shared entangled Bell pair. This paper introduces a new protocol, which involves a modified version of superdense coding to medium access control of distributed communication systems. Using a pre‐shared entangled Bell pair and one classical bit, 2.5 classical bits can be transmitted in average between the parties in each timeslot. This means not only valuable increase in capacity, but the two‐way distributed operation opens new fields of investigation. Copyright © 2014 John Wiley & Sons, Ltd.

DOI
10.1002/dac.2841

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SUMMARY The efficiency of medium access control strongly influences the performance of distributed wireless networks. Collisions in the channel and unused timeslots result in poor performance. On the other hand, quantum superdense coding proved that entanglement‐assisted quantum communications can improve the data transmission rates compared with classical systems. It allows sending two classical bits from one party to another in exchange of one quantum bit and a pre‐shared entangled Bell pair. This paper introduces a new protocol, which involves a modified version of superdense coding to medium access control of distributed communication systems. Using a pre‐shared entangled Bell pair and one classical bit, 2.5 classical bits can be transmitted in average between the parties in each timeslot. This means not only valuable increase in capacity, but the two‐way distributed operation opens new fields of investigation. Copyright © 2014 John Wiley & Sons, Ltd.
Superdense coding proved that entanglement-assisted quantum communications can improve the data transmission rates compared to classical systems. It allows sending 2 classical bits between the parties in exchange of 1 quantum bit and a pre-shared entangled Bell pair. This paper introduces a new protocol which is intended for distributed communication. Using a pre-shared entangled Bell pair and 1 classical bit 2,5 classical bits can be transmitted in average. This means not only valuable increase in capacity but the two-way distributed operation opens new fields of investigation.
We introduce a generalization of one-way superdense coding to two-way communication protocols for transmitting classical bits by using entangled quantum pairs. The proposed protocol jointly addresses the provision of entangled pairs and superdense coding, introducing an integrated approach for managing entanglement within the communication protocol. To assess the performance of the proposed protocol, we consider its data rate and resource usage, and we analyse this both in an ideal setting with no decoherence, and in a more realistic setting where decoherence must be taken into account. In the ideal case, the proposal offers a 50% increase in both data rate and resource usage efficiency compared to conventional protocols. Even when decoherence is taken into consideration, the quantum protocol performs better as long as the decoherence time is not extremely short. Finally, we present the results of implementing the protocol in a computer simulation based on the Netsquid framework. We compare the simulation results with the theoretical values.
In quantum information theory, superdense coding allows two network entities to exchange two classical bits via a quantum channel using a single quantum bit (qubit) transmission, provided they have pre-shared an entangled qubit. An attacker intercepting the qubit during transmission cannot extract meaningful data without the other entangled qubit from the pair. However, an attacker can disrupt the communication by introducing its own qubit to the receiver. To enhance the security of superdense coding, we propose an authentication mechanism through a classical communication channel.
Quantum communication allows us to share information by using the quantum states of qubits. Superdense coding is a very popular protocol or scheme for quantum communication, which uses entangled qubits. Entangled qubits can also be used to share information using an ALOHA based protocol. Performance evaluation of these protocols is essential for their implementation in quantum communication. In this paper, we calculate the bit error rates (BERs) of these two entanglement-based quantum communication schemes. It has been noticed that the BER performance is improved in an ALOHA based scheme compared to the Superdense coding scheme. However, without using any error correction schemes, the BERs are still very high in both the cases compared to the classical communication methods. The BER performance can be further improved by using the appropriate error correction schemes, which are under investigation.
The aim of the research is the mathematical analysis of quantum superdense coding based on quantum entanglement to increase the efficiency and reliability of information transmission in quantum communication systems. The essence of quantum superdense coding is the ability to transmit two classical bits of information using one qubit, which is part of an entangled pair. The fundamental principles of the superdense quantum coding method are considered. The relevance of the research in the context of the development of secure quantum communications and optimization of information transmission in quantum networks is substantiated. A review of modern scientific publications devoted to the theoretical principles of superdense coding is conducted, which indicate the development potential and practical prospects of this direction of quantum informatics. The analysis of mathematical modeling of quantum superdense encoding and decoding is performed using two alternative approaches – projective measurement in the Bell basis and the inverse Bell transform. It is shown that both approaches allow for the complete recovery of classical information transmitted using entangled quantum states. The advantage of the inverse Bell transform is the simplicity of implementation on quantum devices, the flexibility and accuracy of information processing, and the possibility of scaling, which makes it a reasonable choice in many practical applications. The influence of noise and decoherence on the efficiency of superdense coding has been studied, which is a critical factor in the practical implementation of this method in real quantum systems. A mathematical model of data transmission through a quantum channel under the action of additive white noise has been constructed. An analytical dependence of the probability of correct information recovery on the noise level has been established, which allows us to estimate the limits of reliability of superdense coding in noisy environments. Based on the research, the prospects for the practical application of superdense coding in quantum communication networks, in particular the quantum Internet, as well as in quantum computing and information security systems, have been outlined. The results obtained contribute to the further development of quantum technologies and can be used to create new protocols for highly efficient quantum data transmission.
Abstract The superdense coding protocol is essential for quantum communication, allowing more efficient data transmission. This protocol facilitates the transfer of two bits of classical information using just one qubit by leveraging a pre-existing pair of Bell states. To achieve this capability, traditional implementations of superdense coding depend on entangled states, such as Bell states. This paper introduces a novel circuit that utilizes Bell diagonal states to implement the superdense coding protocol. We provide detailed instructions for the procedure using IBM’s Quantum Computing Lab, enabling practical applications in real-world contexts. Furthermore, the paper highlights the security features of this protocol, emphasizing its significance for secure communication in quantum networks. The combination of efficiency and security represents a notable advancement in quantum information science. We implemented and tested the proposed superdense coding circuit on the IBM Q quantum computing platform using Qiskit. Through extensive simulations on IBM’s Statevector and QASM simulators, we assessed the performance of the circuit based on Bell diagonal states (BDS)in terms of accuracy, noise resilience, and resource efficiency. Our findings indicate that, while Bell diagonal states pose challenges related to noise and decoherence, they also provide potential advantages in reducing qubit usage and enhancing error correction. This research contributes to the exploration of alternative techniques for superdense coding, which may have applications in quantum communication and future quantum networks. However, additional theoretical and experimental investigations are necessary to fully evaluate the scalability and practicality of this approach.