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:<math>|D^4_2\rangle = \frac{|0011\rangle + |0101\rangle + |1001\rangle + |0110\rangle + |1010\rangle + |1100\rangle}{\sqrt{6}}</math>
The real parameter <math>u = \frac{m}{gn}</math> scales the density of the code. The length <math>m = gnu</math>, hence the name of the code. For odd <math>g = n</math> and <math>u \ge 1</math>, the ''gnu'' code is capable of correcting <math>\frac{g-1}{2}</math> [[erasure error]]s,<ref name="Ouyang p. ">{{cite journal | last=Ouyang | first=Yingkai | title=Permutation-invariant quantum codes | journal=Physical Review A | volume=90 | issue=6 | date=2014-12-10 | issn=1050-2947 | doi=10.1103/physreva.90.062317 | page=062317| arxiv=1302.3247 | bibcode=2014PhRvA..90f2317O | s2cid=119114455 }}</ref> or [[deletion error]]s.<ref name="Ouyang 2021">{{Cite arXiv| last=Ouyang | first=Yingkai | title=Permutation-invariant quantum coding for quantum deletion channels | date=2021-02-04 |
==References==
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