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Add the theory page of LRE user guide #2522
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Codecov ReportAll modified and coverable lines are covered by tests ✅
Additional details and impacted files@@ Coverage Diff @@
## main #2522 +/- ##
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Coverage 98.71% 98.72%
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Files 89 90 +1
Lines 4131 4156 +25
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+ Hits 4078 4103 +25
Misses 53 53 ☔ View full report in Codecov by Sentry. |
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Going to suggest @vprusso take the first pass at a review of the material. My comments are small and shouldn't overlap (I hope!).
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Great start Purva! I can tell you have a great understanding of this technique, but the this page still needs some work to get all the nuances from your head into the doc so others can understand as well.
The system of linear equations is used to find the numerous $\eta_i$. As we only need to find the noiseless expectation value, we do not need to calculate the full vector of linear combination coefficients if we use the [Lagrange interpolation formula](https://files.eric.ed.gov/fulltext/EJ1231189.pdf). | ||
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O_{\rm LRE} = \sum_{i=1}^M \langle O (\boldsymbol{\lambda}_i)\rangle \frac{\det \left(\mathbf{M}_i (\boldsymbol{0}) \right)}{\det \left(\mathbf{A}\right)}. |
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I think we should avoid using
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This is supposed to be one of the terms in the monomial basis evaluated at
Co-authored-by: nate stemen <[email protected]>
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Description
Fixes #2486
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