From the course: Quantum Computing Fundamentals

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Pauli-X gate

Pauli-X gate

From the course: Quantum Computing Fundamentals

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Pauli-X gate

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- Three of the simplest yet most significant quantum logic operators are a set of related gates called the Pauli gates, which are named after the Nobel Prize-winning physicist, Wolfgang Pauli. The three Pauli gates each operate on a single qubit affecting its quantum state in different ways. Thinking in terms of the block sphere, each of the Pauli gates corresponds to a rotation of pi radians or 180 degrees around one of the three major axes. Mathematically, the Pauli gates are represented with the set of matrices shown here formally labeled as sigma X, sigma Y, and sigma Z. It's also common to see these gates simply labeled with the capital letters X, Y, and Z, which is how we'll be referring to them here. We'll explore these operations in the next few videos to understand their similarities and differences, starting with the X gate. When applied to a single qubit, the Pauli-X gate performs a bit flip, swapping the…

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