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arXiv:2404.18777 · Entropy

Quantum Key Distribution with Displaced Thermal States

Adam Walton, Anne Ghesquière, Benjamin T. H. Varcoe

Published May 31, 2024• 0 citations
arXivHTMLPDF

Abstract

Secret key exchange relies on the creation of correlated signals, serving as the raw resource for secure communication. Thermal states exhibit Hanbury Brown and Twiss correlations, which offer a promising avenue for generating such signals. In this paper, we present an experimental implementation of a central broadcast thermal-state quantum key distribution (QKD) protocol in the microwave region. Our objective is to showcase a straightforward method of QKD utilizing readily available broadcasting equipment. Unlike conventional approaches to thermal-state QKD, we leverage displaced thermal states. These states enable us to share the output of a thermal source among Alice, Bob, and Eve via both waveguide channels and free space. Through measurement and conversion into bit strings, our protocol produces key-ready bit strings without the need for specialized equipment. By harnessing the inherent noise in thermal broadcasts, our setup facilitates the recovery of distinct bit strings by all parties involved.

DOI
10.3390/e26060488

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•Oct 13, 2021•2 citations
Secret key exchange relies on the creation of correlated signals, serving as the raw resource for secure communication. Thermal states exhibit Hanbury Brown and Twiss correlations, which offer a promising avenue for generating such signals. In this paper, we present an experimental implementation of a central broadcast thermal-state quantum key distribution (QKD) protocol in the microwave region. Our objective is to showcase a straightforward method of QKD utilizing readily available broadcasting equipment. Unlike conventional approaches to thermal-state QKD, we leverage displaced thermal states. These states enable us to share the output of a thermal source among Alice, Bob, and Eve via both waveguide channels and free space. Through measurement and conversion into bit strings, our protocol produces key-ready bit strings without the need for specialized equipment. By harnessing the inherent noise in thermal broadcasts, our setup facilitates the recovery of distinct bit strings by all parties involved.
A beam emitted by a displaced thermal source, incident on a beam splitter, is used as the source in a central broadcast quantum key distribution protocol. These displaced thermal states have parallels to signals produced through phase-shift keying, already commonly used in a variety of microwave-based communications equipment. Here, we analyse a thermal state quantum key distribution protocol for which there is no dependency on displacement. Our analysis suggests the ability to carry out QKD using widely available broadcasting equipment. We also consider the effects of the introduction of loss at several points in the protocol, and find that, while increasing loss in Alice's channel eventually results in advantage distillation being required, security is still maintained.
Abstract We analyse a central broadcast continuous variable quantum key distribution protocol in which a beam produced by a thermal source is used to create a secret key between two parties, Alice and Bob. A beam splitter divides the initial beam into a pair of output beams, which are sent to Alice and Bob, with Eve intercepting Bob’s beam. We investigate the protocol in detail, calculating mutual informations through a pair of analytic methods and comparing the results to the outputs of a Monte Carlo simulation of the protocol. In a lossless system, we find that a lower bound on the key rate remains positive in the protocol under a beam splitter attack, provided Bob receives a nonzero proportion of the beam initially sent to him. This suggests that the thermal state protocol could be used experimentally to produce secure keys.
In this paper we consider a scheme for cryptographic key distribution based on a variation of continuous variable quantum key distribution called central broadcast. In the continuous variable central broadcast scheme, security arises from discord present in the Hanbury Brown and Twiss effect from a thermal source. The benefit of this scheme is that it expands the range of frequencies into the microwave regime. Longer wavelengths—where the thermal photon number is higher and correlations remain robust over long distances—may even be preferable to optical wavelengths. Assuming that Alice controls the source but not the distribution of the light (e.g. satellite broadcasts), then we demonstrate that the central broadcast scheme is robust to an entangling cloner attack. We establish the security of the protocol both experimentally and theoretically.
Abstract We propose to perform quantum key distribution using quantum correlations occurring within thermal states produced by low power sources such as LEDs. These correlations are exploited through the Hanbury Brown and Twiss effect. We build an optical central broadcast protocol using a superluminescent diode which allows switching between laser and thermal regimes, enabling us to provide comparable experimental key rates in both regimes. We provide a theoretical analysis and show that quantum secrecy is possible, even in high noise situations.
Abstract In this paper we expanded the security of a central broadcast protocol using thermal states to the case in which the eavesdropper controls the source. Quantum secrecy in a continuous variable central broadcast scheme is guaranteed by the quantum correlations present in thermal states arising from the Hanbury Brown and Twiss effect. This work allows for a method of key exchange in which two parties can agree a key as long as both can detect the same source and they are within the spatial coherence length of the source. This is important because it allows quantum secure key exchange with only minimal changes to existing infrastructure.
This thesis covers two separate fields of research, first focusing on quantum key distribution before covering research on atomic clock synchronisation. Initially, a method of performing thermal state key distribution was analysed. A protocol for radio key distribution inspired by quantum methods which could be performed using easily accessible equipment was known, with some evidence that it could realistically be carried out, but this had yet to be confirmed in testing. In this writing, we first simulate the protocol in Python, and verify that the results of simulation suggests that a practical setup would be reasonable. After confirming that off-the-shelf broadcasting equipment may be used for the protocol, we performed both wired and wireless tests of the protocol and was able to distribute bit strings suitable for key distillation. This provides a method for performing quantum key distribution using only common radio equipment and open-source software -- a procedure which typically requires specialist equipment, is not compatible with current communication setups, and does not currently exist in a widely accessible form for public use. For clock synchronisation, current accessible methods of wireless synchronisation have poor precision, relying on GPS for timing information. Optical protocols for synchronisation offer far more precise results, but require either line of sight or a fibre connection, which is not always reasonable to implement. This can lead to issues in which accessible methods of synchronisation are not sufficient for parties which require higher precision, such as in market trading. Here, we devise and test a radio-based method of clock synchronisation with commonly-used broadcast protocols based on experimental results observed in the first section of the thesis. From this testing, we find that the protocol is able to reach precision approximately 10^3 times smaller than the minimum advertised by the clocks used, which itself was already more precise than can be reached using GPS synchronisation. Overall, this represents new methods of solving known problems; producing the security conferred by Quantum Key Distribution (QKD) and clock synchronisation, without requiring specialised equipment which may prevent other potential solutions from being viable in real-world applications. The ability to perform the experiments set up here with off-the-shelf radio equipment and open-source software provides a straightforward way to apply the protocols for any party interested in either of these fields. This will be shown to be especially true in the case of clock synchronisation, in which we find evidence that our protocol outperforms currently used methods by a significant margin while using similar equipment.