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Journal of the Optical Society of America B

Experimental high-dimensional quantum key distribution with orbital angular momentum

Zhongqi Sun, Yue Li, Haiqiang Ma

Published Dec 19, 2023• 11 citations
Publisher

Abstract

The development and practical applications of quantum key distribution are limited by the channel capacity and high error rate during long-distance transmission. High-dimensional quantum key distribution protocols solve these problems effectively. In this paper, a high-dimensional quantum key distribution protocol based on polarization-orbit angular momentum is achieved, using a decoy state method to ensure the security of the protocol. The experimental results show that the high-dimensional quantum key distribution protocol improves the encoding efficiency and the upper bound of the quantum bit error rate.

DOI
10.1364/josab.507195

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The development and practical applications of quantum key distribution are limited by the channel capacity and high error rate during long-distance transmission. High-dimensional quantum key distribution protocols solve these problems effectively. In this paper, a high-dimensional quantum key distribution protocol based on polarization-orbit angular momentum is achieved, using a decoy state method to ensure the security of the protocol. The experimental results show that the high-dimensional quantum key distribution protocol improves the encoding efficiency and the upper bound of the quantum bit error rate.
Quantum Key Distribution (QKD) guarantees the security of communication with quantum physics. Most of widely adopted QKD protocols currently encode the key information with binary signal format---qubit, such as the polarization states. Therefore the transmitted information efficiency of the quantum key is intrinsically upper bounded by 1 bit per photon. High dimensional quantum system is a potential candidate for increasing the capacity of single photon. However, due to the difficulty in manipulating and measuring high dimensional quantum systems, the experimental high dimensional QKD is still at its infancy. Here we propose a sort of practical high-speed high dimensional QKD using partial mutual unbiased basis (PMUB) of photon's orbital angular momentum (OAM). Different from the previous OAM encoding, the high dimensional Hilbert space we used is expanded by the OAM states with same mode order, which can be extended to considerably high dimensions and implemented under current state of the art. Because all the OAM states are in the same mode order, the coherence will be well kept after long-distance propagation, and the detection can be achieved by using passive linear optical elements with very high speed. We show that our protocol has high key generation rate and analyze the anti-noise ability under atmospheric turbulence. Furthermore, the security of our protocol based on PMUB is rigorously proved. Our protocol paves a brand new way for the application of photon's OAM in high dimensional QKD field, which can be a breakthrough for high efficiency quantum communications.
Higher channel capacity and noise elimination are the key requirements for the implementation of long-distance quantum communication. As the additional degrees of freedom (DoF) of photons can be employed to achieve higher channel capacity and security beyond the polarizations DoF of photons, the photonic qubits are always employed as the flying qubits in quantum communication and quantum information processing. Here, exploiting the multiple DoFs of photons, we present an efficient quantum secure direct communication protocol based on the coding and manipulation of qubits on both the polarization and the orbital angular momentum of photons. Also, the numerical simulation is studied to further clarify the improvement of the channel capacity and the security. It is found that the channel capacity and the error rate (caused by eavesdropping) of the QSDC protocol which encoded on the polarization DoF and the OAM DoF is significantly higher than that of coding on only polarization DoF. We believe this work could provide more evidence for the applications of higher-dimensional qubits in quantum information science.
In this paper, we propose a measurement-device-independent quantum-key-distribution (MDI-QKD) protocol using orbital angular momentum (OAM) in free space links, named the OAM-MDI-QKD protocol. In the proposed protocol, the OAM states of photons, instead of polarization states, are used as the information carriers to avoid the reference frame alignment, the decoy-state is adopted to overcome the security loophole caused by the weak coherent pulse source, and the high efficient OAM-sorter is adopted as the measurement tool for Charlie to obtain the output OAM state. Here, Charlie may be an untrusted third party. The results show that the authorized users, Alice and Bob, could distill a secret key with Charlie’s successful measurements, and the key generation performance is slightly better than that of the polarization-based MDI-QKD protocol in the two-dimensional OAM cases. Simultaneously, Alice and Bob can reduce the number of flipping the bits in the secure key distillation. It is indicated that a higher key generation rate performance could be obtained by a high dimensional OAM-MDI-QKD protocol because of the unlimited degree of freedom on OAM states. Moreover, the results show that the key generation rate and the transmission distance will decrease as the growth of the strength of atmospheric turbulence (AT) and the link attenuation. In addition, the decoy states used in the proposed protocol can get a considerable good performance without the need for an ideal source.
Combing the orbital angular momentum and pulse position modulation, we propose a novel passive decoy-state quantum key distribution scheme with the single-intensity two-mode source. Besides, we give the lower bound of single-photon counting rate and the upper bound of single-photon error rate. Moreover, the system performance is numerically studied. The simulations demonstrate that the performance of scheme with orbital angular momentum coding is improved in terms of error rate, key generation rate and secure transmission distance. Meanwhile, by using the pulse position modulation technology, the performance is further enhanced. And the longer the frame length, the better the system performance. Therefore, our scheme does not need to modulate the light intensity, and exploits the combination of orbital angular momentum and pulse position modulation to eliminate the basis-dependent flaw and improve the key generation rate. It has certain reference value to the realization of the system.
Quantum communication (QC) concerns the faithful transmission of quantum states between separated parties, and represents a key enabler for many quantum applications, ranging from quantum key distribution (QKD) to distributed quantum computing. However, low information rates and short propagation distances, due to high channel losses and perturbations of the quantum states, limit the development of this field and its practical applications. High-dimensional (Hi-D) quantum communication can address these challenges by adding more information per photon, directly enhancing the information rate and the system's error tolerance. We transmit Hi-D quantum states using photons prepared in four orbital angular momentum (OAM) modes in a 1.2 km long OAM-carrying fiber. This is the first experimental demonstration of Hi-D quantum states transmission using the OAM basis over an optical fiber. Furthermore, we successfully implement a real-time decoy-state Hi-D QKD protocol, and demonstrate the highest secret key rate and longest transmission distance of OAM-QKD presented to date.