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arXiv:quant-ph/0003104

Quantum authentication and key distribution using catalysis

Jens G. Jensen, Ruediger Schack

Published Mar 22, 2000• 17 citations
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Abstract

Starting from Barnum's recent proposal to use entanglement and catalysis for quantum secure identification [quant-ph/9910072], we describe a protocol for quantum authentication and authenticated quantum key distribution. We argue that our scheme is secure even in the presence of an eavesdropper who has complete control over both classical and quantum channels.

DOI
10.48550/arxiv.quant-ph/0003104

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Starting from Barnum's recent proposal to use entanglement and catalysis for quantum secure identification [quant-ph/9910072], we describe a protocol for quantum authentication and authenticated quantum key distribution. We argue that our scheme is secure even in the presence of an eavesdropper who has complete control over both classical and quantum channels.
We present a protocol for quantum cryptographic network consisting of a quantum network center and many users, in which any pair of parties with members chosen from the whole users on request can secure a quantum key distribution by help of the center. The protocol is based on the quantum authentication scheme given by Barnum et al. [Proc. 43rd IEEE Symp. FOCS'02, p. 449 (2002)]. We show that exploiting the quantum authentication scheme the center can safely make two parties share nearly perfect entangled states used in the quantum key distribution. This implies that the quantum cryptographic network protocol is secure against all kinds of eavesdropping.
Existing quantum key distribution protocols require classical channel and classical authentication procedure. We present an alternative quantum key distribution technique which not only can operate without the requirement of classical channel and classical authentication procedure but also rejects the use of the two. This key distribution technique can act as quantum authentication protocol. Quantum cryptography [1-6] and teleportation [7] are the two facets of quantum communication. Of these two, quantum cryptography has been developed out of practical necessity- classical cryptosytems are either secure but impractical or insecure but practical [8]. Around 1970, Wiesner [1] first realised that laws of quantum mechanics can ensure security. In 1984, this radical idea took shape when Bennett and Brassad [2] invented quantum key distribution (QKD) protocol. At present many QKD protocols exist; they can be classified as EPR and non EPR protocols. The common aspects of all these protocols are that pure
Quantum key distribution (QKD) is a method using some properties of quantum mechanics to create a secret shared cryptographic key even if an eavesdropper has access to unlimited computational power. All QKD protocols require that the parties have access to an authentic channel. Otherwise, QKD is vulnerable to man-in-themiddle attacks. This paper studies QKD from this point of view, emphasizing the necessity and sufficiency of using unconditionally secure authentication in QKD. In this work, a hybrid unconditionally secure authentication strategy is proposed for QKD protocols. It is based on a mixture of normal application of authentication codes and the so-called "counter-based" authentication method such that to achieve a better trade off between security and efficiency (in terms of the required size of initially shared secret data). Based on this strategy, a complete authenticated QKD protocol is described for a specific implementation of the well-known BB84 protocol. Some advantages of our protocol in comparison to other proposals are also highlighted.
I consider the use of entanglement between two parties to enable one to authenticate her identity to another over a quantum communication channel. Exploiting the phenomenon of entanglement-catalyzed transformations between pure states gives a potentially reusable entangled identification token. In analyzing this, I consider the independently interesting problem of the best possible approximation to a given pure entangled state realizable using local actions and classical communication by parties sharing a different entangled state.
Classical and quantum message authentication protocols were studied. A classical message authenticated encryption protocol based on quantum one-way functions was proposed. It was demonstrated that the proposed protocol was not only a secure encryption scheme, but also a secure authentication scheme. Using the authenticated encryption protocol as a sub-protocol, a quantum message authentication scheme was addressed. Compared with the scheme addressed by BARNUM et al, this protocol economizes the keys shared between two communication parties. The security of the quantum message authentication scheme is also shown.
The security of the previous quantum key distribution (QKD) protocols, which is guaranteed by the nature of physics law, is based on the legitimate users. However, impersonation of the legitimate communicators by eavesdroppers, in practice, will be inevitable. In fact, the previous QKD protocols is unsecure without authentication in practical communication. In this paper, we proposed an improved QKD protocol that can simultaneously distribute the quantum secret key and verify the communicators' identity. This presented authentication scheme is provably secure.