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arXiv:quant-ph/0012054

An Attack to Quantum Cryptography from Space

Igor Vasil'evich Volovich

Published Dec 13, 2000• 3 citations
arXivHTMLPDF

Abstract

The promise of secure cryptographic quantum key distribution schemes is based on the use of quantum effects in the spin space. We point out that in fact in many current quantum cryptography protocols the space part of the wave function is neglected. However exactly the space part of the wave function describes the behaviour of particles in ordinary real three-dimensional space. As a result such schemes can be secure against eavesdropping attacks in the abstract spin space but could be insecure in the real three-dimensional space. We discuss an approach to the security of quantum key distribution in space by using Bell's inequality and a special preparation of the space part of the wave function.

DOI
10.48550/arxiv.quant-ph/0012054

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The promise of secure cryptographic quantum key distribution schemes is based on the use of quantum effects in the spin space. We point out that in fact in many current quantum cryptography protocols the space part of the wave function is neglected. However exactly the space part of the wave function describes the behaviour of particles in ordinary real three-dimensional space. As a result such schemes can be secure against eavesdropping attacks in the abstract spin space but could be insecure in the real three-dimensional space. We discuss an approach to the security of quantum key distribution in space by using Bell's inequality and a special preparation of the space part of the wave function.
The last decade, the evolution in quantum computing has been enormous and real and reliable quantum computers are being developed quickly. One of the consequences of the upcoming quantum era is to make key distribution protocols insecure, as most of them are based on discrete algorithm problems. On the other hand, quantum computing provides a powerful and prominent tool for the safe transmission of information and cryptographic schemes and many of them have already been proposed. In this work, we discuss about quantum cryptography and we present certain quantum key distribution protocols. We also discuss about ‘potential attacks that can be performed against the quantum cryptographic schemes which are based on quantum system’s imperfections and loopholes.
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Quantum cryptography offers a promising unbreakable cryptographic solution as it ensures perfect secrecy in applications such as quantum key distribution and bit commitment. The focus of this paper is to trace the development of quantum key distribution protocols and discuss the state of the art and open issues in this field. Although the protocols have mathematically proven to be totally secure, it must be emphasized that any real world implementation suffers the limitations of physical devices which can serve as vulnerability for an eavesdropper to exploit. In this paper, we survey the quantum key distribution protocols which exist in literature and explore the attacks to which they are vulnerable. We highlight the main implementation bottlenecks related with each implementation and the solutions proposed thereof.
In the cryptographic context, an earlier unexplored application of the temporal version of the Bell-type inequality is shown here in the device-independent (DI) scenario. This is done by using the Leggett-Garg inequality (LGI) to demonstrate the security against eavesdropping in a quantum key distribution (QKD) scheme. This typically involves a higher dimensional attack against which the standard BB84 protocol is insecure. For this purpose, we invoke an appropriate form of LGI. While the key generation is done by the usual Bennett-Brassard 1984 (BB84) method, the security check against device attacks is provided by testing for the violation of the particular form of LGI used here.
Theoretical quantum key distribution (QKD) protocols commonly rely on the use of qubits (quantum bits). In reality, however, due to practical limitations, the legitimate users are forced to employ a larger quantum (Hilbert) space, say a quhexit (quantum six-dimensional) space, or even a much larger quantum Hilbert space. Various specific attacks exploit of these limitations. Although security can still be proved in some very special cases, a general framework that considers such realistic QKD protocols, as well as} attacks on such protocols, is still missing. We describe a general method of attacking realistic QKD protocols, which we call the `quantum-space attack'. The description is based on assessing the enlarged quantum space actually used by a protocol, the `quantum space of the protocol'. We demonstrate these new methods by classifying various (known) recent attacks against several QKD schemes, and by analyzing a novel attack on interferometry-based QKD.