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New Families of Quantum Cyclic and Subsystem Codes for Asymmetric Quantum Channels |
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PP: 23-32 |
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Author(s) |
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Salah A. Aly Ahmed,
Alexei Ashikhmin,
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Abstract |
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| A quantum computer exploits the rules of quantum mechanics to speed up computations. However, one has to mitigate noise
and decoherence to avoid computational errors in order to successfully build quantum computers.
Recently the theory of quantum error control codes has been extended to the case of asymmetric quantum channels — qubit-flip and
phase-shift errors may have equal or different probabilities. In this paper, we further develop this theory and establish the connection
between asymmetric quantum codes and subsystem codes. We present families of subsystem and asymmetric quantum codes obtained
from classical BCH and RS codes. |
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