Manuscript Oai069-A@1 · Oai069-A.tex · section · a4913aab

Tomographic setting and measurement contract

Complete coverage and simultaneous finite-confidence certification › Tomographic setting and measurement contract · lines 1089–1109

Because $d, g$ are powers of two, the Choi system has

D = n o = 4 d g

dimensions and $h + s + 2$ qubits. Let $P$ be its Hermitian Pauli-string basis:

Tr (P P^{'}) = D δ_{P, P^{'}}, P^{2} = I .

For a Choi state,

J = \frac{1}{D} P \in P \sum t_{P} P, t_{P} = Tr (P J), t_{I} = 1.

Fix finitely many task labels $ν$ , all sectors, and every nonidentity Pauli setting. Let $M$ be the total number of these settings.

Displayed formulas in this passage

unlabeled · line 1092
$D = n o = 4 d g$
unlabeled · line 1097
$Tr (P P^{'}) = D δ_{P, P^{'}}, P^{2} = I .$
unlabeled · line 1101
$J = \frac{1}{D} P \in P \sum t_{P} P, t_{P} = Tr (P J), t_{I} = 1.$