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arXiv:2310.00304

Indispensability of orbital angular momentum states in secure quantum communication tasks

Rajni Bala, Sooryansh Asthana

Published Sep 30, 2023• 0 citations
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Abstract

Quantum key distribution protocols have been designed for layered networks employing multidimensional entangled and separable orbital angular momentum states [Phys. Rev. A 97, 032312 (2018), Int. J. Theor. Phys. 62, 104 (2023)]. This paper seeks an answer to the overarching question -- in the context of secure quantum communication tasks, do orbital angular momentum states act merely as an alternative or do they act as an indispensable resource? We start by showing that the task of quantum key distribution in layered networks can also be accomplished with several copies of lower-dimensional states such as polarization qubits. For this reason, orbital angular momentum states do not offer any intrinsic advantage in layered quantum key distribution. The potential of OAM states unveils itself in the enhancement of key generation rates and integrated quantum communication tasks, which we present in this paper. These tasks can be implemented exclusively with high-dimensional OAM entangled states. In fact, we show that the employment of orbital angular momentum states eliminates the need for entangled state measurements, whose implementation is resource-intensive. We believe that this study opens up a possibility for designing several quantum information processing tasks in which multidimensional OAM states act as an indispensable resource.

DOI
10.48550/arxiv.2310.00304

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Quantum key distribution protocols have been designed for layered networks employing multidimensional entangled and separable orbital angular momentum states [Phys. Rev. A 97, 032312 (2018), Int. J. Theor. Phys. 62, 104 (2023)]. This paper seeks an answer to the overarching question -- in the context of secure quantum communication tasks, do orbital angular momentum states act merely as an alternative or do they act as an indispensable resource? We start by showing that the task of quantum key distribution in layered networks can also be accomplished with several copies of lower-dimensional states such as polarization qubits. For this reason, orbital angular momentum states do not offer any intrinsic advantage in layered quantum key distribution. The potential of OAM states unveils itself in the enhancement of key generation rates and integrated quantum communication tasks, which we present in this paper. These tasks can be implemented exclusively with high-dimensional OAM entangled states. In fact, we show that the employment of orbital angular momentum states eliminates the need for entangled state measurements, whose implementation is resource-intensive. We believe that this study opens up a possibility for designing several quantum information processing tasks in which multidimensional OAM states act as an indispensable resource.
Secure communication in layered networks having differently preferred participants has attracted a lot of research attention. Protocols for key distribution in a layered network have been recently proposed in [M. Pivoluska et al., Phys. Rev. A 97, 032312] by employing asymmetrically entangled multiqudit states. Due to the employment of asymmetrically entangled multiqudit states, the yield of these protocols is very low. To address this issue, in this work, we have proposed semi-quantum secure communication protocols by employing separable states only which give a better yield and a higher key generation rate. As illustrations, we present two representative protocols. The first protocol allows sharing of two keys simultaneously in a network of two layers. The second protocol facilitates direct communication in one layer and key distribution in the other. The separable states, i.e., coherent pulses of orbital angular momentum required in the protocols are easily realizable with current technologies.
Orbital angular momentum (OAM) states of photons span a high-dimensional Hilbert space, and by using it, higher information capacity and enhanced security can be achieved for both classical communication and quantum key distribution. In this work, we propose a feasible basis-independent encoding scheme for OAM states and show its application in high-dimensional quantum secure direct communication, which enables direct transmission of meaningful messages, in addition to random secret key establishing. Imperfections of optical components may reduce the efficiency of the encoding scheme and, thus, the channel capacity. We discuss the optimal input distribution under realistic conditions to achieve maximal mutual information and an alternative solution using a different set of mutually unbiased bases in the case of a prime-dimensional quantum system.
Going beyond two-state qubits, $q\phantom{\rule{0}{0ex}}u\phantom{\rule{0}{0ex}}d\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}s$ based on quantum states of high dimension constitute a rich resource in quantum information, and their exploitation will play a prominent role in next-generation technologies. Generation and manipulation of qudits have improved strongly over the last decades; their reliable transmission between remote locations remains the central challenge. The authors use an air-core fiber supporting orbital angular momentum (OAM) modes to faithfully transmit qudits. Four OAM quantum states and their superpositions are created, propagated over a 1.2-km fiber, and detected. Moreover, three quantum-key-distribution protocols are implemented.
The orbital angular momentum (OAM) carried by optical beams is a useful quantity for encoding information. This form of encoding has been incorporated into various works ranging from telecommunications to quantum cryptography, most of which require methods that can rapidly process the OAM content of a beam. Among current state-of-the-art schemes that can readily acquire this information are so-called OAM sorters, which consist of devices that spatially separate the OAM components of a beam. Such devices have found numerous applications in optical communications, a field that is in constant demand for additional degrees of freedom, such as polarization and wavelength, into which information can also be encoded. Here, we report the implementation of a device capable of sorting a beam based on its OAM and polarization content, which could be of use in works employing both of these degrees of freedom as information channels. After characterizing our fabricated device, we demonstrate how it can be used for quantum communications via a quantum key distribution protocol.
Orbital angular momentum (OAM) entanglement states have great potential in enhancing the information capacity in quantum communications. To make full use of the OAM degree of freedom, the measurement and distinction of OAM Bell states become a key step that needs to be accomplished. However, there is still no solution to achieve complete distinction of OAM Bell states at the single-photon level. Here we demonstrate the complete OAM Bell-state measurement without auxiliary photons by using linear optics. Furthermore, we propose a quantum communication network via OAM Bell-state multiplexing, perform a proof-of-principle experiment in the first- and second-order OAM subspaces for two users, and achieve average success probabilities of obtaining information of 91.6% for User-I and 89.1% for User-II. In principle, our scheme allows more users to be added by using high-order OAM Bell states. Our research extends the manipulation method for high-dimensional quantum states and paves the way for the application of OAM multiplexing in quantum communications.
Entanglement is a vital resource for realizing many tasks such as teleportation, secure key distribution, metrology, and quantum computations. To effectively build entanglement between different quantum systems and share information between them, a frequency transducer to convert between quantum states of different wavelengths while retaining its quantum features is indispensable. Information encoded in the photon's orbital angular momentum (OAM) degrees of freedom is preferred in harnessing the information-carrying capacity of a single photon because of its unlimited dimensions. A quantum transducer, which operates at wavelengths from 1558.3 to 525 nm for OAM qubits, OAM-polarization hybrid-entangled states, and OAM-entangled states, is reported for the first time. Nonclassical properties and entanglements are demonstrated following the conversion process by performing quantum tomography, interference, and Bell inequality measurements. Our results demonstrate the capability to create an entanglement link between different quantum systems operating in a photon's OAM degrees of freedom, which will be of great importance in building a high-capacity OAM quantum network.