Stack Exchange Network

Stack Exchange network consists of 174 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange

Questions tagged [clifford-group]

For questions related to the Clifford also known as the Pauli group, as relevant to quantum computing.

5
votes
0answers
63 views

Efficient implementation of the Clifford group for $n$ qubits

I'm looking for an efficient implementation of the Clifford group $\mathcal{C}_n$ of $n$ qubits. The Clifford group $\mathcal{C}_n$ has stucture $(2_+^{1+2n} \circ C_8).Sp(2,n)$, where $2_+^{1+2n}$ ...
8
votes
1answer
142 views

Isomorphism between the Clifford group and the quaternions

How do I find an explicit isomorphism between the elements of the Clifford group and some 24 quaternions? The easy part: The multiplication of matrices should correspond to multiplication of ...
9
votes
2answers
103 views

Is there a simple rule for the inverse of a Clifford circuit's stabilizer table?

In Improved Simulation of Stabilizer Circuits by Aaronson and Gottesman, it is explained how to compute a table describing which Pauli tensor products the X and Z observable of each qubit get mapped ...