query: How do I decompose the given $4\times 4$ matrix in terms of Pauli matrices?
positive_passages.docid: 145667
positive_passages.text: What is an example of how a Hamiltonian can be decomposed in terms of Pauli matrices?
negative_passages.docid: 65661
negative_passages.text: Decomposition of a homogeneous polynomial
negative_passages.docid: 80623
negative_passages.text: Must $S$ be a unitary matrix?
negative_passages.docid: 90247
negative_passages.text: How to construct matrix of regular and "flipped" 2-qubit CNOT?
negative_passages.docid: 4517
negative_passages.text: Showing a $2\times2$ matrix is invertible
negative_passages.docid: 93550
negative_passages.text: How to find the matrix representation of an operator from its action on a basis?
negative_passages.docid: 43987
negative_passages.text: Decomposition of the tensor product $\mathbb{Q}_p \otimes_{\mathbb{Q}} \mathbb{Q}[i]$ into a product of fields
negative_passages.docid: 87289
negative_passages.text: Find the multiplicative inverses of all the elements in $\Bbb Z_{16}^\times$
negative_passages.docid: 55062
negative_passages.text: $2\times 2$ matrix $C=AB-BA$
negative_passages.docid: 81770
negative_passages.text: Determinant of an $n\times n$ complex matrix as an $2n\times 2n$ real determinant
negative_passages.docid: 121253
negative_passages.text: Prove that any complex matrix can be expressed in term of Hermitian and anti-Hermitian matrices
negative_passages.docid: 108589
negative_passages.text: The inverse of the matrix $\{1/(i+j-1)\}$
negative_passages.docid: 83853
negative_passages.text: Prove that the polar decomposition of normal matrices, $A=SU$, is such that $SU=US$
negative_passages.docid: 138610
negative_passages.text: How do I divide the columns of a matrix by the sum of its elements?
negative_passages.docid: 90982
negative_passages.text: How to find the determinant of this $3 \times 3$ Hankel matrix?
negative_passages.docid: 36691
negative_passages.text: Parameters on $SU(4)$ and $SU(2)$
negative_passages.docid: 123808
negative_passages.text: How would I solve the following problem involving elementary matrices?