atlas_definitions.tex

Paper VIII: Packet Operator Algorithms, Exact Compilation, and GPU Realization

atlas_definitions.tex

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1 \providecommand{\OO}{\mathcal O}
2 \providecommand{\FF}{\mathbb F}\providecommand{\QQ}{\mathbb Q}\providecommand{\ZZ}{\mathbb Z}\providecommand{\RR}{\mathbb R}
3 \providecommand{\Spec}{\operatorname{Spec}}\providecommand{\Supp}{\operatorname{Supp}}\providecommand{\Fitt}{\operatorname{Fitt}}
4 \providecommand{\Ann}{\operatorname{Ann}}\providecommand{\coker}{\operatorname{coker}}\providecommand{\im}{\operatorname{im}}
5 \providecommand{\rank}{\operatorname{rank}}\providecommand{\Tr}{\operatorname{Tr}}\providecommand{\id}{\operatorname{id}}
6 \providecommand{\whot}{\mathbin{\widehat\otimes}}\providecommand{\m}{\mathfrak m}\providecommand{\p}{\mathfrak p}
7 \providecommand{\head}[1]{\par\vspace{2pt}{\sffamily\bfseries\normalsize #1}\par\vspace{1pt}}
8 \providecommand{\captiontext}[1]{\par\noindent{\footnotesize\color{black!70}#1\par}}
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10 \providecommand{\takeaway}[1]{\begin{insight}\textbf{Read this as:}\ #1\end{insight}}
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12 \newcolumntype{Y}{>{\raggedright\arraybackslash}X}
13 \newif\ifstarted\startedfalse
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19 \providecommand{\pagerefV}[1]{\hyperlink{atlasvpage#1}{V#1}}
20 
21 \providecommand{\CC}{\mathbb C}
22 \providecommand{\kk}{\mathbb k}
23 \renewcommand{\AA}{\mathcal A}
24 \providecommand{\BB}{\mathcal B}
25 \providecommand{\Hull}{\operatorname{Hull}}
26 \providecommand{\srank}{\operatorname{srank}}
27 \providecommand{\Span}{\operatorname{span}}
28 \providecommand{\End}{\operatorname{End}}
29 \providecommand{\diag}{\operatorname{diag}}
30 \renewcommand{\Ker}{\operatorname{ker}}
31 \providecommand{\norm}[1]{\left\lVert#1\right\rVert}
32 \providecommand{\mat}[1]{\begin{pmatrix}#1\end{pmatrix}}
33 \providecommand{\Ob}{\operatorname{Ob}}
34 \providecommand{\supp}{\operatorname{supp}}
35 \providecommand{\src}{\operatorname{src}}\providecommand{\tgt}{\operatorname{tgt}}
36 \providecommand{\Res}{\operatorname{Res}}
37 \providecommand{\sech}{\operatorname{sech}}
38 \providecommand{\Dfun}{\mathsf D}
39 \providecommand{\Efun}{\mathsf E}
40 \providecommand{\Tfun}{\mathsf T}
41 \providecommand{\Sfun}{\mathsf S}
42 \providecommand{\Cfun}{\mathsf C}
43 \providecommand{\Thetafun}{\symup{\Theta}}
44 \providecommand{\ones}{\mathbf{1}}
45 \providecommand{\EE}{\mathbb{E}}
46 \providecommand{\Var}{\operatorname{Var}}
47 \providecommand{\diagmat}[1]{\operatorname{diag}(#1)}
48 \providecommand{\ket}[1]{\lvert #1\rangle}
49 \providecommand{\bra}[1]{\langle #1\rvert}
50 \providecommand{\HH}{\mathcal H}
51 \providecommand{\dd}{\mathrm d}
52 \providecommand{\ii}{\mathrm i}
53 \providecommand{\cost}{\operatorname{cost}}
54 \providecommand{\err}{\operatorname{err}}
55 

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