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tests: Compute the exact minimum distance of a QLDPC with Mixed Integer Programming (MIP) #435
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…ar Programming (MILP) method
Codecov ReportAll modified and coverable lines are covered by tests ✅
Additional details and impacted files@@ Coverage Diff @@
## master #435 +/- ##
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+ Coverage 83.00% 83.06% +0.06%
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Files 71 71
Lines 4565 4565
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+ Hits 3789 3792 +3
+ Misses 776 773 -3 ☔ View full report in Codecov by Sentry. |
Fe-r-oz
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Compute the exact minimum distance of a QLDPC with Mixed Integer Linear Programming (MILP)
Compute the exact minimum distance of a QLDPC with Mixed Integer Programming (MIP)
Nov 29, 2024
Fe-r-oz
changed the title
Compute the exact minimum distance of a QLDPC with Mixed Integer Programming (MIP)
tests: Compute the exact minimum distance of a QLDPC with Mixed Integer Programming (MIP)
Nov 30, 2024
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Computing minimum distance of quantum LDPC code is a NP-Hard problem, but we can find the exact minimum distance of a QLDPC with Mixed Integer Linear Programming (MILP) for small instance sizes. This PR implements this MILP method used in High-threshold and low-overhead fault-tolerant quantum memory. The distances in Table 3 for the bivariate bicycle codes were calculated using this method.
ILP/MILP methods: https://quantumcomputing.stackexchange.com/questions/37289/compute-the-exact-minimum-distance-of-a-qecc-with-integer-linear-programming-met
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