Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Use and implementation of autodifferentiation in tensor network methods
  with complex scalars   Following the recent preprints arXiv:1903.09650 and arXiv:1906.04654 we
comment on the feasibility of implementation of autodifferentiation in standard
tensor network toolkits by briefly walking through the steps to do so. The
total implementation effort comes down to fewer than 1000 lines of additional
code. We furthermore summarise the current status when the method is applied to
cases where the underlying scalars are complex, not real and the final result
is a real-valued scalar. It is straightforward to generalise most operations
(addition, tensor products and also the QR decomposition) to this case and
after the initial submission of these notes, also the adjoint of the complex
SVD has been found.

31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th