Pauli X Matrix

The Pauli matrix, denoted , , or , is the first of the three Pauli matrices,

It is both a Hermitian matrix and a unitary matrix, with eigenvalues and . Its square is the identity matrix.

It is implemented in the Wolfram Language as PauliMatrix[1].

See also

Hermitian Matrix, Pauli Matrices, Pauli Y Matrix, Pauli Z Matrix, Unitary Matrix

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References

Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 211-212, 1985.IBM Quantum. "Pauli Operations and Observables." https://quantum.cloud.ibm.com/learning/en/courses/foundations-of-quantum-error-correction/stabilizer-formalism/pauli-operations-and-observables.

Cite this as:

Weisstein, Eric W. "Pauli X Matrix." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PauliXMatrix.html

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