Applied Physics CSIE II: UNIT IV: Quantum Computing

Pauli X Gate (X Gate)

Definition, Action, Matrix form, Operation, Bloch Sphere action | Quantum gates

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The Pauli‒X gate is a single‒qubit quantum gate that flips the state of a qubit, acting like a quantum NOT gate. It transforms |0> to |1> and |1> to |0>.

PAULI ‒ X GATE (X GATE)

Definition

The Pauli‒X gate is a single‒qubit quantum gate that flips the state of a qubit, acting like a quantum NOT gate. It transforms |0> to |1> and |1> to |0>.

Action

(1) Acts like a NOT gate on a qubit

(ii) Flips |0> ↔|1>

Matrix form

The matrix for the X gate is the same as Pauli matrix σ_x and can be written as

Operation

X |0> = |1>

X |1> = |0>

X gate is also called bit‒flip because it inverts each input bit.

Bloch Sphere action

Rotation by π radians (180°) around the X‒axis

Applied Physics CSIE II: UNIT IV: Quantum Computing : Tag: Applied Physics : Definition, Action, Matrix form, Operation, Bloch Sphere action | Quantum gates - Pauli X Gate (X Gate)

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Applied Physics CSIE II: UNIT IV: Quantum Computing

Introduction of Quantum Computing

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Classical Bit - Definition | Quantum Computing

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Concent of Quantum Gate (single and multiple qubits)

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Pauli Gates - Definition

Pauli X Gate (X Gate) - Definition, Action, Matrix form, Operation, Bloch Sphere action | Quantum gates

Pauli Y Gate (Y GATE) - Definition, Action, Matrix form, Operation, Bloch Sphere action | Quantum gates

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Hadamard Gate (H GATE) - Definition, Action, Matrix form, Operation, Bloch Sphere action | Quantum gates

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T Gate - Definition, Action, Matrix form, Operation, Bloch Sphere action | Quantum gates

CNOT Gate (Controlled NOT Gate) - Definition, Action, Matrix form, Operation, Bloch Sphere action | Quantum gates

Comparision chart for quantum gates

Advantages of quantum computing over classical computing

Applications of Quantum computing

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