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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', …
Alex Townsend-Teague's user avatar
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 …
Alex Townsend-Teague's user avatar
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 …
Alex Townsend-Teague's user avatar