Block synchronization for quantum information
Yuichiro Fujiwara

TL;DR
This paper introduces a coding theoretic method for quantum block synchronization that enables boundary detection without external signals and also provides error correction, enhancing quantum communication and computation reliability.
Contribution
It presents a novel family of quantum codes that combine synchronization recovery with error correction, advancing quantum coding techniques.
Findings
Developed a quantum coding method for boundary detection without external cues.
Created a family of quantum codes that synchronize and correct errors simultaneously.
Demonstrated the effectiveness of the codes in protecting quantum information.
Abstract
Locating the boundaries of consecutive blocks of quantum information is a fundamental building block for advanced quantum computation and quantum communication systems. We develop a coding theoretic method for properly locating boundaries of quantum information without relying on external synchronization when block synchronization is lost. The method also protects qubits from decoherence in a manner similar to conventional quantum error-correcting codes, seamlessly achieving synchronization recovery and error correction. A family of quantum codes that are simultaneously synchronizable and error-correcting is given through this approach.
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