Applied Physics CSIE II: UNIT IV: Quantum Computing

Properties of Quantum Gates

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1. Reversible 2. Represented by Matrices 3. Act on Qubits 4. Enable Quantum Features

PROPERTIES OF QUANTUM GATES

1. Reversible

Unlike classical gates, every quantum gate must be reversible (no information is lost).

2. Represented by Matrices

Each gate corresponds to a unitary matrix (a special type of matrix that preserves probability).

3. Act on Qubits

• 1‒qubit gates → 2×2 matrices

• 2‒qubit gates → 4×4 matrices

• 3‒qubit gates → 8×8 matrices

...and so on.

4. Enable Quantum Features

Quantum gates allow:

• superposition (Hadamard gate)

• entanglement (CNOT gate)

• quantum phase shifts (Z, S, T gates)

• qubit rotations (R_x, R_y, R_z gates)

Applied Physics CSIE II: UNIT IV: Quantum Computing : Tag: Applied Physics : - Properties of Quantum Gates

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Applied Physics CSIE II: UNIT IV: Quantum Computing

Introduction of Quantum Computing

Quantum Cellular Automata - Definition, Concept, Advantages, Applications

Quantum System for Information Processing - Concept, Process

Quantum States

Classical Bit - Definition | Quantum Computing

Quantum bits (or) Qubits - Definition, Explanation

Bloch Sphere - Concept, Construction, Representation, Explanation, Inference | Quantum Computing

CNOT Gate - Principle, Symbolic Representation, Concept, Logical Operation, Truth Table, Matrix representation

Multiple Qubits - Concept, States, Explanation

Concent of Quantum Gate (single and multiple qubits)

Quantum Gates

Properties of Quantum Gates

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

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

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

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

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

Quantum Computing: Two Marks Important Questions and Answers - Applied Physics

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