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Category solved model papers

Explain: i) Single qubit gate ii) Multiple qubit gate with suitable examples.

Explain the representation of a qubit using a Bloch Sphere.

Explain the terms: i) Orthogonality ii) Orthonormality. Give examples for both.

Discuss the working of a phase gate, mention its matrix representation and truth table.

Phase Gate (S Gate) Matrix Representation The Phase Gate SSS is represented by the matrix: Effect on Basis States Truth Table of the Phase Gate Since quantum gates don’t behave…

Describe the working of a controlled-Z gate with its matrix representation and truth table.

Elucidate differences between classical and quantum computing.

State the Pauli matrices and apply Pauli matrices on the states |0⟩ and |1⟩.

Basis States: We represent the standard quantum states as column vectors: Applying Pauli Matrices on ∣0⟩and ∣1⟩: Pauli-X It flips the bit — just like NOT gate. Pauli-Y It flips…

A Linear Operator ’𝑋’ operates such that 𝑋 |0⟩ = |1⟩and 𝑋 |1⟩ = |0⟩. Find the matrix representation of’𝑋’.

Discuss the CNOT gate and its operation on all four input states.

Define bit and qubit. Explain the properties of a qubit.

Bit and Qubit – Definitions Bit (Binary Digit) Qubit (Quantum Bit) Properties of Qubits

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