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Quantum Computing, Communication, and Simulation

Quantum-measurement-enhanced error correction for quantum receivers

N. Fajar R. Annafianto, Ivan A. Burenkov, Jabir M. V., Abdella Battou, Sergey V. Polyakov

Published Mar 9, 2022• 0 citations
Publisher

Abstract

We investigate how accuracy information available in quantum measurement can be used to enhance error correction codes using experimentally obtained state identification data. We test conventional and novel error correction protocols and find a significant reduction of errors in user data transmission. The error reduction and the energy use of error correcting codes compare favorably to that of quantum receivers without error correction. Ordinarily, quantum receivers identify the maximally likely input state out of M possible states. We take advantage of the full vector of Bayesian probabilities available for each act of measurement that supplements the conventional state discrimination.

DOI
10.1117/12.2609796

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We investigate how accuracy information available in quantum measurement can be used to enhance error correction codes using experimentally obtained state identification data. We test conventional and novel error correction protocols and find a significant reduction of errors in user data transmission. The error reduction and the energy use of error correcting codes compare favorably to that of quantum receivers without error correction. Ordinarily, quantum receivers identify the maximally likely input state out of M possible states. We take advantage of the full vector of Bayesian probabilities available for each act of measurement that supplements the conventional state discrimination.
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This paper explores a novel approach to error correction codes inspired by the principles of quantum mechanics, specifically quantum entanglement and superposition. Traditional classical error correction codes often struggle to effectively combat noise and interference, particularly in complex systems. This research proposes a new coding scheme that utilizes correlated measurements of entangled qubits to achieve enhanced protection against errors. The core of the method lies in exploiting the inherent correlations present in entangled systems, allowing for a more robust detection and correction of errors compared to conventional techniques. The presented code demonstrates the potential to surpass the limitations of established classical codes by directly leveraging the unique properties of quantum phenomena. We detail the mathematical framework and the theoretical underpinnings of this approach, outlining its potential impact on data transmission and storage in quantum computing and related fields. The key advancements are focused on achieving higher error correction capabilities with a potentially reduced overhead compared to existing solutions. This work lays the foundation for future research and development in quantum-inspired error correction.
Quantum metrology has been making amazing progress in the past decades. It is always in researchers' interest to search for new optimal states that improve parameter estimation. In this paper, we point out a connection between the code's error correcting capacity and its ability to act as a sensor. We backed our claim by providing an example that relates the Absorption emission code to the sensor state for arbitrary state rotation. It is hoped that, in building such a unified theory, one can draw inspiration from error correction to develop promising quantum sensors.
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