Quantum Gates MCQs with Answers

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Quantum Gates Online Quiz

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• Test Name: Quantum Gates MCQ Quiz Practice
• Type: Quiz Test
• Total Questions: 40
• Total Marks: 40
• Time: 40 minutes

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Quantum Gates

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1 / 40

Which gate is represented by the matrix [1 0; 0 e^(iπ/4)]?

T gate

S gate

Hadamard gate

2 / 40

Which gate is used in quantum teleportation protocols?

SWAP gate

CNOT gate

Fredkin gate

3 / 40

Which gate creates a Bell state when applied with a CNOT gate?

T gate

Hadamard gate

S gate

4 / 40

Which gate is used in Grover's algorithm to invert about the mean?

Diffusion

Oracle

Hadamard

5 / 40

Which gate changes the phase of a qubit by 180 degrees?

Pauli-X gate

Pauli-Z gate

Pauli-Y gate

6 / 40

What is the matrix representation of the Hadamard gate?

[1 0; 0 -1]

[0 1; 1 0]

1/√2 [1 1; 1 -1]

7 / 40

Which gate is also known as the controlled-Z gate?

CZ gate

CRZ gate

CNOT gate

8 / 40

Which gate is required for universal quantum computation along with the Hadamard gate?

CNOT gate

Pauli-Y gate

Pauli-Z gate

9 / 40

Which gate is used to create superposition?

T gate

Hadamard gate

Toffoli gate

10 / 40

What is the two-qubit gate commonly used in quantum circuits?

Pauli-X gate

CNOT gate

Hadamard gate

11 / 40

Which gate can be used to entangle two qubits?

SWAP gate

Pauli-X gate

CNOT gate

12 / 40

Which gate has a matrix representation of [1 0; 0 -1]?

Pauli-Z gate

Pauli-Y gate

Pauli-X gate

13 / 40

Which gate is also known as the π/8 gate?

T gate

S gate

Hadamard gate

14 / 40

Which gate is represented by the matrix [1 0; 0 i]?

Pauli-Y gate

S gate

T gate

15 / 40

Which gate is essential for creating quantum entanglement?

CNOT gate

Hadamard gate

Pauli-X gate

16 / 40

What is the action of the Pauli-Z gate on the

Flips the state to

1⟩ state?

Changes the phase by π

17 / 40

Which gate can be used to implement the quantum Fourier transform?

CNOT gate

Hadamard gate

Pauli-X gate

18 / 40

Which gate swaps the states of two qubits?

SWAP gate

Fredkin gate

Toffoli gate

19 / 40

What is the matrix representation of the T gate?

[1 0; 0 i]

[1 0; 0 e^(iπ/4)]

[1 0; 0 -1]

20 / 40

Which gate flips the state of a qubit from

Pauli-X gate

0⟩ to

1⟩?

21 / 40

Which gate has the effect of negating the amplitude of the

1⟩ state?

Pauli-X gate

Pauli-Z gate

22 / 40

What is the outcome of applying the Pauli-X gate twice to a qubit?

Original state

Orthogonal state

Superposition state

23 / 40

What is the effect of the Hadamard gate on the

1⟩ state?

0⟩ -

(

24 / 40

Which gate performs a controlled phase shift by π?

CRZ gate

CNOT gate

CZ gate

25 / 40

Which gate is used for error correction in quantum computing?

Fredkin gate

SWAP gate

Toffoli gate

26 / 40

Which gate is known as a universal gate in quantum computing?

Pauli-X gate

CNOT gate

Hadamard gate

27 / 40

Which gate is used to implement the Toffoli gate in combination with other gates?

CNOT gate

Hadamard gate

Pauli-X gate

28 / 40

What is the action of the Pauli-Y gate on a qubit?

Rotation by π around X

Rotation by π around Y

Rotation by π around Z

29 / 40

Which gate applies a π/2 phase shift to the

S gate

T gate

1⟩ state?

30 / 40

What is the quantum equivalent of a classical NOT gate?

Pauli-X gate

Pauli-Z gate

Pauli-Y gate

31 / 40

Which gate is used to implement the Deutsch algorithm?

Pauli-X gate

Toffoli gate

Hadamard gate

32 / 40

What is the result of applying a Hadamard gate to the

0⟩

+⟩ state?

33 / 40

What is the effect of a CNOT gate on the state

11⟩?

10⟩

34 / 40

Which gate is used for controlled phase rotation?

CNOT gate

CZ gate

CRZ gate

35 / 40

Which gate performs a conditional NOT operation?

CNOT gate

Toffoli gate

Fredkin gate

36 / 40

What is the unitary matrix for the Pauli-X gate?

[1 0; 0 -1]

[0 1; 1 0]

[0 -i; i 0]

37 / 40

What is the primary function of the Fredkin gate?

Controlled-NOT

Controlled-SWAP

Controlled-Z

38 / 40

What is the purpose of the Toffoli gate?

Controlled-Y gate

Controlled-Z gate

Controlled-controlled-NOT

39 / 40

Which gate is also known as the controlled-controlled-NOT gate?

Fredkin gate

Toffoli gate

SWAP gate

40 / 40

Which gate converts the basis state

0⟩ to the superposition (

0⟩ +

1⟩)/√2?

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