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Surface code implementation of block code state distillation
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DOI：10.1038/srep01939.png)
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Abstract
En 中文
State distillation is the process of taking a number of imperfect copies of a particular quantum state and producing fewer better copies. Until recently, the lowest overhead method of distilling states vertical bar A > = (vertical bar 0 > + e(i pi/4)vertical bar 1 >)/root 2 produced a single improved vertical bar A > state given 15 input copies. New block code state distillation methods can produce k improved vertical bar A > states given 3k + 8 input copies, potentially significantly reducing the overhead associated with state distillation. We construct an explicit surface code implementation of block code state distillation and quantitatively compare the overhead of this approach to the old. We find that, using the best available techniques, for parameters of practical interest, block code state distillation does not always lead to lower overhead, and, when it does, the overhead reduction is typically less than a factor of three.
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