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Questions about or related to the Pauli group.
6
votes
1
answer
263
views
Minimum-weight presentation for stabilizer group $S$ and logical Pauli group $N(S)/S$
Given some stabilizer group $S$ with presentation $\langle s_1, \dots, s_r \rangle$, what is known about finding a minimal-weight presentation for it? By this, I mean a new presentation $\langle s_1', …
2
votes
2
answers
73
views
Efficiently finding an explicit presentation for $N(S)/S$, for any stabilizer group $S$
Let $P_n$ denote the $n$-qubit Pauli group. This has presentation $P_n = \langle iI, X_1, \ldots, X_n, Z_1, \ldots, Z_n \rangle$. Suppose we have a stabilizer group $S = \langle s_1, \ldots, s_k \rang …
5
votes
3
answers
515
views
Simulating stabilizer groups
Can any existing software be used (either directly or with a bit of persuading) to work with general stabilizer groups? From what I can see, tableau-based options like Stim and Qiskit can be used to w …