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  1. How comes the definition of Pauli transfer matrix?

    Feb 5, 2023 · How comes the definition of Pauli transfer matrix? Ask Question Asked 2 years, 11 months ago Modified 2 years, 2 months ago

  2. Can arbitrary matrices be decomposed using the Pauli basis?

    Nov 10, 2019 · Explore related questions linear-algebra pauli-gates matrix-representation See similar questions with these tags.

  3. Function of Pauli matrices - Mathematics Stack Exchange

    Sep 14, 2015 · Function of Pauli matrices Ask Question Asked 11 years ago Modified 4 years, 1 month ago

  4. Exponential of Pauli Matrices - Mathematics Stack Exchange

    May 23, 2019 · 10 The title hints at a crucial bit of missing information: the definition of the Pauli matrices, $\vec\sigma$. The most common representation is

  5. matrix representation - What are the Pauli-Y eigenvectors?

    What are the Pauli-Y eigenvectors? Ask Question Asked 3 years, 4 months ago Modified 3 years, 4 months ago

  6. textbook and exercises - How are the Pauli $X$ and $Z$ matrices ...

    Oct 9, 2020 · Same way but in other direction - express the matrix as a sum of matrices with just one non-zero elements, and each of these matrices will be a ket-bra product of two basis vectors

  7. How are arbitrary $2\times 2$ matrices decomposed in the Pauli …

    Jul 28, 2019 · This is about general decomposition of $2\times 2$ matrices in the Pauli basis; the other question is less clear, but seems to be about decompositions in the multipartite case.

  8. Why are rotations represented by exponentials of Pauli matrices?

    Jul 15, 2023 · Each Pauli matrix corresponds to rotations around a different axis in the Bloch sphere. Since Paulis are rotation generators (they generate SU (2)) the operation of …

  9. linear algebra - Equivalent of Pauli matrices in 4 dimensions ...

    May 15, 2019 · There is a 3x3 matrix analog of the Pauli matrix rotation formula, but, as I said, for rotation generators you need traceless matrices. It is the famous Rodrigues rotation formula, …

  10. clifford group - Spectral theorem for Pauli matrices - Quantum ...

    Feb 8, 2023 · 4 Let $ P $ be a Pauli matrix, hence normal. So by the spectral theorem $ P $ can be written as $$ P=VDV^ {-1} $$ for $ V $ unitary and $ D $ diagonal (in other words $ P $ is …