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Physica Scripta

Quantum–classical hybrid quantum superdense coding

Wei Yang, Liusheng Huang, An Liu, Miaomiao Tian, Haibo Miao

Published Jun 25, 2013• 0 citations
Publisher

Abstract

Quantum superdense coding (QSC) is an interesting application of quantum communications. It exploits the special property of quantum entanglement to perform classical communications and results in a spectacular result. In this paper, the density of QSC problem is investigated and a time synchronization mechanism is shown to be helpful for improving the coding efficiency. A new quantum–classical hybrid QSC scheme based on a time synchronization mechanism is proposed. The scheme is extended to the case in which any number of qubits (and further qudits) are involved. A desirable coding efficiency, which is shown to converge to log2(d + 1) (where d denotes the dimension of the quantum system employed) in the generalized case, is deduced for this time-assisted superdense coding.

DOI
10.1088/0031-8949/88/01/015009

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Quantum superdense coding (QSC) is an interesting application of quantum communications. It exploits the special property of quantum entanglement to perform classical communications and results in a spectacular result. In this paper, the density of QSC problem is investigated and a time synchronization mechanism is shown to be helpful for improving the coding efficiency. A new quantum–classical hybrid QSC scheme based on a time synchronization mechanism is proposed. The scheme is extended to the case in which any number of qubits (and further qudits) are involved. A desirable coding efficiency, which is shown to converge to log2(d + 1) (where d denotes the dimension of the quantum system employed) in the generalized case, is deduced for this time-assisted superdense coding.
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.
A method of generating superdense coding based on quantum hyper-entanglement and facilitated by quantum networks is discussed. Superdense coding refers to the coding of more than one classical bit into each qubit. Quantum hyperentanglement refers to quantum entanglement in more than one degree of freedom, e.g. polarization, energy-time, and orbital angular momentum (OAM). The new superdense coding scheme permits 2L bits to be encoded into each qubit where L is the number of degrees of freedom used for quantum hyper-entanglement. The superdense coding procedure is based on a generalization of the Bell state for L degrees of freedom. Theory describing the structure, generation/transmission, and detection of the generalized Bell state is developed. Circuit models are provided describing the generation/transmission process and detection process. Detection processes are represented mathematically as projection operators. A mathematical proof that that the detection scheme permits the generalized Bell states to be distinguished with 100% probability is provided. Measures of effectiveness (MOEs) are derived for the superdense coding scheme based on open systems theory represented in terms of density operators. Noise and loss related to generation/transmission, detection and propagation are included. The MOEs include various probabilities, quantum Chernoff bound, a measure of the number of message photons that must be transmitted to successfully send and receive a message, SNR and the quantum Cramer Rao’ lower bound. Quantum networks with quantum memory are used to increase the efficiency of the superdense coding scheme.
We introduce a robust quantum communication protocol that integrates classical error-control coding, entanglement distribution, and superdense coding. Classical error-correcting codes are used to mitigate dark counts and photon losses by determining the positions of qubit transmissions and protecting the data embedded through superdense coding. We derive conditions on the employed codes that guarantee successful error correction under a bounded error-frequency model. Moreover, upper bounds are derived on the performance of conventional superdense coding protected by classical error correction. It is shown that, under the same constraints on error frequency, suitable code configurations of the proposed protocol can exceed those upper bounds both in terms of data rate and energy efficiency. Finally, we develop a physical error model based on fiber attenuation, detector efficiency, dark counts, and time-slot duration, and use it to evaluate the effective performance of different configurations of error-correcting codes. The proposed approach is primarily suited for short-distance quantum links, as in Quantum Local Area Network (QLAN) where it can provide high communication throughput while integrating entanglement distribution directly into the communication process.
Superdense coding is a quantum communication protocol that enables the transmission of more than one classical bit of information per qubit, using entangled states. While superdense coding with 2-qubits is well understood and directly maps to the Bell states, the same cannot be said for higher numbers of qubits. This project aims to develop an algorithm for superdense coding using a larger number of qubits, while analyzing how the capacity for information transmission scales with qubit count. Additionally, we will determine the error thresholds for accurately reconstructing the encoded information and investigate how error scales as the number of qubits increases. Gaining a deeper understanding of superdense coding has significant applications in quantum cryptography, as superdense coding schemes can be used to set up quantum secure direct communication (QSDC) protocols.