[1910.00363] Surface code dislocations have code distance L+O(1)
source link: https://arxiv.org/abs/1910.00363
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Quantum Physics
[Submitted on 30 Sep 2019 (v1), last revised 25 Nov 2019 (this version, v2)]
Surface code dislocations have code distance L+O(1)
In [Hastings et al 2014] it is stated that the code distance of a logical qubit stored using dislocations is 2L + O(1), where L is the separation between the dislocation twists. This code distance assumed only physical X and Z errors are permitted. This short note shows that, when Y errors are allowed, the code distance reduces to L + O(1). See Figure 1.
Submission history
From: Craig Gidney [view email][v1] Mon, 30 Sep 2019 06:19:00 UTC (39 KB)
[v2] Mon, 25 Nov 2019 00:07:34 UTC (40 KB)
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