Sparse Quantum Codes from Quantum Circuits

IEEE Trans. Information Theory, Volume 63, Issue 4, 2017, Pages 2464-2479.

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Abstract:

We describe a general method for turning quantum circuits into sparse quantum subsystem codes. The idea is to turn each circuit element into a set of low-weight gauge generators that enforce the input–output relations of that circuit element. Using this prescription, we can map an arbitrary stabilizer code into a new subsystem code with t...More

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