qLDPCOrg / qLDPCOrg/qLDPC

Faster implementation of RingArray

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performance
Dominant language
Python
Stars
255
Forks
38
Avg merge
11h 19m
Merged PRs (30d)
9

Description

A qldpc.abstract.RingArray is a numpy array subclass whose entries are qldpc.abstract.RingMember-valued. In turn, a qldpc.abstract.RingMember represents an element of a group algebra. Unfortunately, multiplying RingArrays is quite slow, which is an issue for large lifted product codes.

One possibility to speed things up is to make something like a DenseRingMember that is represented by a galois.FieldArray, and collect these into a DenseRingArray.

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Research direction

Start with qldpc.abstract.RingArray and qldpc.abstract.RingMember, then examine how RingArray multiplication is implemented for lifted product codes. Compare the proposed DenseRingMember and DenseRingArray approach using galois.FieldArray, and define completion by demonstrating faster multiplication while preserving the existing RingArray behavior.

Written by the indexing model from the issue text.

Assessment

Tech stack
python
Domain
performance
Issue type
Refactor
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
25/100

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