Boolean Functions, Projection Operators, and Quantum Error Correcting Codes |
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Authors: | Aggarwal V. Calderbank A.R. |
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Affiliation: | Princeton Univ., Princeton; |
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Abstract: | This paper describes a fundamental correspondence between Boolean functions and projection operators in Hilbert space. The correspondence is widely applicable, and it is used in this paper to provide a common mathematical framework for the design of both additive and nonadditive quantum error correcting codes. The new framework leads to the construction of a variety of codes including an infinite class of codes that extend the original ((5, 6, 2)) code found by Rains It also extends to operator quantum error correcting codes. |
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