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arXiv:1309.0312

Secure communication with choice of measurement

Dong Xie, An Min Wang

Published Sep 2, 2013• 2 citations
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Abstract

It has been found that the signal can be 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. The proposed protocol was novel and interesting, but it wasn't secure for communication. The eavesdropper can obtain the information without being detected. We utilize the outcomes of the measurement to propose a secure communication protocol. And the error correction code is used to increase the fault tolerance in the noise.

DOI
10.48550/arxiv.1309.0312

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It has been found that the signal can be 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. The proposed protocol was novel and interesting, but it wasn't secure for communication. The eavesdropper can obtain the information without being detected. We utilize the outcomes of the measurement to propose a secure communication protocol. And the error correction code is used to increase the fault tolerance in the noise.
Recently, Kalev et al. [A. Kalev, A. Mann, and M. Revzen, Phys. Rev. Lett. 110, 260502 (2013).] proposed a quantum (public) communication protocol with an interesting encoding style, where the signal is encoded in the choice of the measurement basis of one of the communicating parties (Bob) and Bob's measurement results are irrelevant for the communication. As we know, one of the main advantages of quantum technique in communication over the classical one is the higher security. Therefore, as Kalev et al. have mentioned in their paper, an interesting open question is whether one could and how to utilize this new encoding style to design a secure communication protocol, i.e., translate the choice of measurement into the secret. Here we propose a quantum key distribution protocol, which is a secure communication protocol, with this encoding style, where Bob's measurement results are still irrelevant. Furthermore, the security of the proposed protocol in the zero-error case has been proved.
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.
This paper presents the design of a communication protocol leveraging quantum error-correcting codes to enhance the reliability of quantum communication. The core idea revolves around encoding quantum information using a specific quantum error-correcting code and subsequently transmitting this encoded information. During transmission, the protocol employs error detection and correction techniques based on the chosen code to mitigate the detrimental effects of noise and decoherence, which are inherent challenges in quantum communication. The proposed protocol aims to significantly improve the robustness of quantum communication channels, a critical step towards realizing practical quantum networks and secure quantum key distribution. The theoretical framework and mathematical formulation of the protocol are presented, detailing the encoding process, error detection, and correction mechanisms. This work contributes to the growing field of quantum communication by providing a concrete design methodology for building more reliable quantum communication systems.