Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with clifford-group
Search options not deleted
user 12265
For questions related to the Clifford also known as the Pauli group, as relevant to quantum computing.
2
votes
Accepted
Generators for single qudit Clifford, $d=4$
The generators for qudit clifford group are give here https://arxiv.org/abs/1911.08162 This is more concise than the paper in the comment and takes care of subtleties better.
Here is a short GAP progr …
- 2,252
2
votes
1
answer
293
views
Proof that encoder for a stabilizer code is in the Clifford group
Given a stabilizer code on $n$ qubits defined by a set of stabilizers $S_1,\cdots S_m$; The encoder $E$ is a matrix in $U(2^n)$ (unitary group) such that $S_i E v = E v$. I'm pretty sure that $E$ is a …
- 2,252
4
votes
1
answer
101
views
do local clifford gates preserve code distance?
It can be shown that
clifford gates do not preserve distance.
My question is what if you restrict to local clifford gates, is distance preserved by these?
(by local I mean that they act on each qubit …
- 2,252
2
votes
1
answer
255
views
How are non-clifford gates simulated in Stim and other simulators?
I know that Clifford gates can be efficiently simulated on classical computers using tableaux. How are non-clifford gates handled? Can simulators handle 100 qubit non-clifford gates?
- 2,252
1
vote
Finite subgroup of $U(4)$ containing a non-Clifford gate and all local Cliffords
Here's an example for the real Pauli and Clifford groups :
$$P_1=<X_1,Z_1>; |P_1|=8;$$
$$P_2=<X_1,Z_1,X_2,Z_2>; |P_2|=32;$$
$$C_1=<X_1,Z_1,H_1>; |C_1|=16;$$
$$C_1^{\otimes 2}=<X_1,Z_1,H_1,X_2,Z_2,H_2> …
- 2,252