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Unconditionally secure quantum oblivious transfer

Guang-Ping He, Z. D. Wang

Published Dec 19, 2003• 0 citations
OpenAlex

Abstract

Based on quantum uncertainty and quantum entanglement, an quantum allor-nothing oblivious transfer protocol is proposed. It is illustrated in detail that the protocol is unconditionally secure. The distinct merit of the present protocol lies in that it is not based on quantum bit commitment. The full utilization of the entanglement makes the protocol different from previous insecure ones, thus its security is not restricted by the no-go theorem of twoparty secure computations. Typeset using REVTEX 1 The research on the oblivious transfer (OT) problem may be traced back to more than twenty years ago [1,2]. Kilian [3] pointed out later that OT is very important in two-party and multi-party protocols. This is because in most symmetrical protocols, the participants always know each others ’ data. If some participants are dishonest or try to get extra information, the protocols become insecure. OT can create some secret between the participants and break this symmetry. Thus it can be used to implement multi-party protocols such as

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Based on quantum uncertainty and quantum entanglement, an quantum allor-nothing oblivious transfer protocol is proposed. It is illustrated in detail that the protocol is unconditionally secure. The distinct merit of the present protocol lies in that it is not based on quantum bit commitment. The full utilization of the entanglement makes the protocol different from previous insecure ones, thus its security is not restricted by the no-go theorem of twoparty secure computations. Typeset using REVTEX 1 The research on the oblivious transfer (OT) problem may be traced back to more than twenty years ago [1,2]. Kilian [3] pointed out later that OT is very important in two-party and multi-party protocols. This is because in most symmetrical protocols, the participants always know each others ’ data. If some participants are dishonest or try to get extra information, the protocols become insecure. OT can create some secret between the participants and break this symmetry. Thus it can be used to implement multi-party protocols such as
Oblivious transfer (OT) is one of the keystones of secure multi-party computation. It is generally believed that unconditionally secure OT is impossible. In this article, we propose a practical and secure quantum all-or-nothing oblivious transfer protocol based on the quantum one-way function. The protocol is built upon a quantum public-key encryption construction, and its security relies on the no-cloning theorem and no-communication theorem. Practical security is reflected in limitations on non-demolition measurements.
Oblivious transfer (OT) and bit commitment (BC) are two-party cryptographic protocols which play crucial roles in the construction of various cryptographic protocols. We propose three practical quantum cryptographic protocols in this paper. We first construct a practical quantum random oblivious transfer (R-OT) protocol based on the fact that non-orthogonal states cannot be reliably distinguished. Then, we construct a fault-tolerant one-out-of-two oblivious transfer ( O T 1 2 ) protocol based on the quantum R-OT protocol. Afterwards, we propose a quantum bit commitment (QBC) protocol which executes the fault-tolerant O T 1 2 several times. Mayers, Lo and Chau (MLC) no-go theorem proves that QBC protocol cannot be unconditionally secure. However, we find that computing the unitary transformation of no-go theorem attack needs so many resources that it is not realistically implementable. We give a definition of physical security for QBC protocols and prove that the practical QBC we proposed is physically secure and can be implemented in the real world.
As a basic protocol of Secure Multi-party Computation,Oblivious Transfer(OT) is of significant research and application value.Most of previous oblivious transfer protocols in classical environment rely either on public-key cryptography or on additional computational assumptions which will be very vulnerable under quantum mechanics.Based on the characteristics of Bell States,a new quantum oblivious transfer protocol is proposed in this paper.The correctness and security of the protocol are analyzed and proved.The protocol is secure in the presence of noise on the channel and a potential eavesdropper.Comparing with oblivious transfer protocols in classical computational environment,the protocol in this paper is superior in security,soundness and wire-tapping detecting.
In cryptography, oblivious transfer (OT) is an important multi-party cryptographic primitive and protocol, that is suitable for many upper-layer applications, such as secure computation, remote coin-flipping, electrical contract signing and exchanging secrets simultaneously. However, some no-go theorems have been established, indicating that one-out-of-two quantum oblivious transfer (QOT) protocols with unconditional security are impossible. Fortunately, some one-out-of-two QOT protocols using the concept of Crépeau’s reduction have been demonstrated not to conform to Lo’s no-go theorem, but these protocols require more quantum resources to generate classical keys using all-or-nothing QOT to construct one-out-of-two QOT. This paper proposes a novel and efficient one-out-of-two QOT which uses quantum resources directly instead of wasting unnecessary resources to generate classical keys. The proposed protocol is not covered by Lo’s no-go theorem, and it is able to check the sender’s loyalty and avoid the attack from the receiver. Moreover, the entangled state of the proposed protocol is reusable, so it can provide more services for the participants when necessary. Compared with other QOT protocols, the proposed protocol is more secure, efficient, and flexible, which not only can prevent external and internal attacks, but also reduce the required resources and resource distribution time.
We present a device independently secure quantum scheme for p-threshold all-or-nothing oblivious transfer. Novelty of the scheme is that, its security does not depend -- unlike the usual case -- on any quantum bit commitment protocol, rather it depends on Hardy's argument for two-qubit system. This scheme is shown to be unconditionally secure against any strategy allowed by quantum mechanics. By providing a secure scheme for all-or-nothing quantum oblivious transfer, we have answered a long standing open problem, other than the quantum key distribution, whether there is any two-party quantum cryptographic protocol, which is unconditionally secure.