Cyclic Quantum Error-Correcting Codes and Quantum Shift Registers

Abstract

We transfer the concept of linear feed-back shift registers to quantum circuits. It is shown how to use these quantum linear shift registers for encoding and decoding cyclic quantum error-correcting codes.

18 pages, 15 figures, submitted to Proc. R. Soc. A

References in corpus (3)

• Efficient fault-tolerant quantum computing
• Quantum Reed-Solomon Codes
• Quantum Convolutional Error Correcting Codes

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• Cycle Index Polynomials and Generalized Quantum Separability Tests
• Low-overhead quantum error correction codes with a cyclic topology