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Advances in Natural Sciences Nanoscience and Nanotechnology

Quantum dialogue by nonselective measurements

Nguyen Ba An

Published Apr 20, 2018• 4 citations
Publisher

Abstract

Unlike classical measurements, quantum measurements may be useful even without reading the outcome. Such so called nonselective measurements are exploited in this paper to design a quantum dialogue protocol that allows exchanging secret data without prior key distributions. The relevant data to be exchanged are in terms of the high-dimensional mutually unbiased bases of quantum measurements. Appropriate modes of bidirectional controlling are devised to ensure the protocol security which is asymptotic.

DOI
10.1088/2043-6254/aab811

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Unlike classical measurements, quantum measurements may be useful even without reading the outcome. Such so called nonselective measurements are exploited in this paper to design a quantum dialogue protocol that allows exchanging secret data without prior key distributions. The relevant data to be exchanged are in terms of the high-dimensional mutually unbiased bases of quantum measurements. Appropriate modes of bidirectional controlling are devised to ensure the protocol security which is asymptotic.
Abstract A controlled semi-quantum dialogue protocol is proposed that uses semi-quantum cryptography and the concept of ‘control’. In this scheme, the supervisor Charlie prepares a large number of entangled photon pairs and separates them into an S A for verification and an S B for encoding. The quantum-capable party Alice and the classical communication party Bob proceed to encode on the S B sequence only after confirming the security of the channel. Finally, Alice performs measurements and announces the results to finalise the communication. This protocol ensures that secret information is exchanged between Alice and Bob only with Charlie’s permission, while Charlie has no access to the communicators’ secret information during the whole process. In terms of security, the protocol contains two strict security checks and accounts for noise, making it robust against both internal and external attacks, which greatly improves the security and reliability of the protocol. Finally, the efficiency analysis demonstrates that the protocol outperforms other existing protocols in terms of efficiency and its actual efficiency can approach the theoretical limit through optimization.
In classical mechanics, performing a measurement without reading the measurement outcome is equivalent to not exploiting the measurement at all. A nonselective measurement in the classical realm carries no information. Here we show that the situation is remarkably different when quantum mechanical systems are concerned. A nonselective measurement on one part of a maximally entangled pair can allow communication between two parties. In the proposed protocol, the signal is encoded in the choice of the measurement basis of one of the communicating parties, while the outcomes of the measurement are irrelevant for the communication and therefore may be discarded. Different choices for the (nonselective) measurement correspond to different signals. The implication of the study of measurements in quantum mechanics is considered. The scheme is studied in a Hilbert space of prime dimension.
An entanglement-based quantum dialogue protocol [Phys. Lett. A 328 (2004) 6] is proven to be insecure: that is, in the protocol an eavesdropper can steal the secret messages without being detected provided that he/she adopts the intercept-and-resend attack strategy. We modify the protocol, i.e. in the control mode, by introducing and randomly choosing two sets of measuring basis: the intercept-and-resend attack can be accordingly detected. Hence, within the present version two users can securely and simultaneously exchange their secret messages.
The problem of security of quantum key protocols is examined. In addition to the distribution of classical keys, the problem of encrypting quantum data and the structure of the operators which perform quantum encryption is studied. It is found that unitary bases are central to both encryption of quantum information, as well as the generation of states used in generalized quantum key distribution (which are called mutually unbiased bases). A one-to-one correspondence between certain unitary bases and mutually unbiased bases is found. Finally, a new protocol for making anonymous classical broadcasts is given along with a security proof. An experimental procedure to implement this protocol is also given. In order to prove these new results, some new bounds for accessible information of quantum sources are obtained.
An entanglement-based quantum dialogue protocol [Phys. Lett. A 328 (2004) 6] is proven to be insecure: that is, in the protocol an eavesdropper can steal the secret messages without being detected provided that he/she adopts the intercept-and-resend attack strategy. We modify the protocol, i.e. in the control mode, by introducing and randomly choosing two sets of measuring basis: the intercept-and-resend attack can be accordingly detected. Hence, within the present version two users can securely and simultaneously exchange their secret messages.