Abstract

Quantum key distribution provides an efficient means to exchange information in an unconditionally secure way. Historically, quantum key distribution protocols have been based on binary signal formats, such as two polarization states, and the transmitted information efficiency of the quantum key is intrinsically limited to 1 bit/photon. Here we propose and experimentally demonstrate, for the first time, a high-dimensional quantum key distribution protocol based on space division multiplexing in multicore fiber using silicon photonic integrated lightwave circuits. We successfully realized three mutually unbiased bases in a four-dimensional Hilbert space, and achieved low and stable quantum bit error rate well below both the coherent attack and individual attack limits. Compared to previous demonstrations, the use of a multicore fiber in our protocol provides a much more efficient way to create high-dimensional quantum states, and enables breaking the information efficiency limit of traditional quantum key distribution protocols. In addition, the silicon photonic circuits used in our work integrate variable optical attenuators, highly efficient multicore fiber couplers, and Mach-Zehnder interferometers, enabling manipulating high-dimensional quantum states in a compact and stable manner. Our demonstration paves the way to utilize state-of-the-art multicore fibers for noise tolerance high-dimensional quantum key distribution, and boost silicon photonics for high information efficiency quantum communications.

Highlights

  • Quantum key distribution (QKD) is an attractive quantum technology that provides a means to securely share secret keys between two clients (Alice and Bob).[1,2,3,4] Traditional QKD is based on binary signal formats, such as the BB84 protocol where the quantum information is encoded in the polarization domain.[5]

  • In our analysis we consider the case of three mutually unbiased basis (MUBs) reported in Eq (2) for an Hilbert space of four dimension (N = 4)

  • The experimental scheme of the proposed Highdimensional QKD (HD-QKD) based on multicore fibers (MCFs) dB coupler and setting Mach–Zehnder interferometers (MZIs) 6 and MZI 7 to directly go through, using silicon Photonic integrated circuits (PICs) is shown in Fig. 1a

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Summary

INTRODUCTION

Quantum key distribution (QKD) is an attractive quantum technology that provides a means to securely share secret keys between two clients (Alice and Bob).[1,2,3,4] Traditional QKD is based on binary signal formats, such as the BB84 protocol where the quantum information is encoded in the polarization domain.[5]. Tremendous efforts have been put into developing novel protocols to increase the information efficiency.[6,7,8,9,10] Highdimensional QKD (HD-QKD) based on qudit encoding (unit of information in a N dimension space) is an efficient technique to achieve high information efficiency for QKD systems.[11,12,13,14,15,16,17,18] HD-QKD protocols exhibit higher resilience to noise, allowing for lower signal-to-noise ratio (SNR) of the received signal,[10] which in turn may be translated into longer transmission distances.[19] One interesting way to achieve HD-QKD is to use space division multiplexing technology, where the spatial dimension is used to carry the quantum states In this context, optical angular momentum (OAM) modes has been proposed for HD-QKD protocol, and demonstrated over a free-space link using discrete components. Stable and low quantum bit error rate (QBER), below threshold limits, is achieved for more than 10 min

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