Description of Quantum Convolutional Codes | IEEE Conference Publication | IEEE Xplore

Description of Quantum Convolutional Codes


Abstract:

Quantum communication system is influenced by environment noise in the whole process. Quantum error-correcting codes can solve this problem efficiently. The polynomial re...Show More

Abstract:

Quantum communication system is influenced by environment noise in the whole process. Quantum error-correcting codes can solve this problem efficiently. The polynomial representation of a quantum state is defined. Based on the structure of the classical convolutional codes, the basis state of the quantum convolutional codes is transformed into the multiplication of an information polynomial by the generator polynomial. A new method is proposed to encode and decode these quantum codes and the networks can be realized with the polynomial multiplication circuits. Finally, we provide a maximum likelihood error estimation algorithm with complexity growing linearly.
Date of Conference: 12-14 October 2008
Date Added to IEEE Xplore: 18 November 2008
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Conference Location: Dalian, China

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