Block synchronization for 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.

7 pages, no figures, final accepted version for publication in Physical Review A

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Cited by in corpus (12)

• Algebraic techniques in designing quantum synchronizable codes
• Quantum synchronizable codes from finite geometries
• Parsing a sequence of qubits
• Quantum Block and Synchronizable Codes Derived from Certain Classes of Polynomials
• Quantum Synchronizable Codes From Quadratic Residue Codes and Their Supercodes
• Quantum Synchronizable Codes on Sextic Cyclotomy
• Algebraic Quantum Synchronizable Codes
• Quantum Synchronizable Codes From Cyclotomic Classes of Order Two over ${\mathbb{Z}}_{2q}$
• A class of quantum synchronizable codes of length $2^n$ over ${\mathrm{F}}_q$
• A new family of quantum synchronizable codes from negacyclic codes
• The Asymptotics of Difference Systems of Sets for Synchronization and Phase Detection
• Two New Families of Quantum Synchronizable Codes