Cliffor group generators - matrix form ?

[nulll]

Cliffor group generators - matrix form !?

Hello friends,


Someone know where I can found details (any book, paper, url, ...) about Clifford Group generators, in especial the general matrix form? In SU(2) we can manipulate the fact of the determinant is 1 and found the general matrix form, by exemple.. But, about Clifford Group I know that it preserve the Pauli Group under conjugation, but I cannot see how this can help me to found general matrix form of the generators..


best regards,
nulll

 

[nate808]

Hi nulll,

I am a scientist and I can help you with your question about Clifford Group generators. The Clifford Group is a group of unitary operators on a finite-dimensional Hilbert space that can be generated by a set of matrices. These matrices are called the Clifford Group generators.

To find the general matrix form of the Clifford Group generators, we can use the fact that the Clifford Group preserves the Pauli Group under conjugation. This means that if we apply any Clifford Group operator to a Pauli matrix, we will get another Pauli matrix. This property can help us determine the general matrix form of the Clifford Group generators.

There are several books and papers that discuss the Clifford Group and its generators. One book that I would recommend is "Quantum Computation and Quantum Information" by Michael A. Nielsen and Isaac L. Chuang. Chapter 4 of this book specifically talks about the Clifford Group and its generators. You can also find more information about the Clifford Group and its generators on various websites such as arXiv or the Stanford Encyclopedia of Philosophy.

I hope this helps you in your search for the general matrix form of the Clifford Group generators. Let me know if you have any other questions. Best of luck in your research!