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WorksheetsProject Engineer Fresher Quantum
Total questions: 40
Worksheet time: 20mins
Q1. What is the biggest limitation of today’s quantum machine learning models?
Lack of efficient quantum compilers
Quantum circuits are difficult to optimize
Noise and decoherence in quantum hardware
High power consumption
2.What is the quantum equivalent of a classical NAND gate in a reversible form?
Hadamard Gate
Toffoli Gate
Fredkin Gate
Pauli-Z Gate
3.Which quantum algorithm exponentially speeds up prime factorization?
Grover’s Algorithm
Shor’s Algorithm
QAOA
VQE
4.Which gate introduces entanglement between two qubits?
Hadamard Gate
X Gate
CNOT Gate
Toffoli Gate
5.What is the quantum equivalent of the classical NOT gate?
Z Gate
X Gate
Y Gate
Swap Gate
6.Which quantum gate is used to create superposition?
X Gate
Hadamard Gate
CNOT Gate
Z Gate
7.What happens to a qubit upon measurement?
It remains in superposition
It collapses to one of its basis states
It entangles with another qubit
It increases coherence
8.What is a qubit in quantum mechanics?
The quantum analog of a classical bit
A particle in quantum field theory
A quantum mechanical measurement
A statistical ensemble of classical bits
9.Which of the following quantum gates represents a bit-flip?
H (Hadamard)
X (Pauli-X)
Z (Pauli-Z)
S (Phase gate)
10.The Bloch sphere is used to represent which of the following?
Mixed states
Pure qubit states
Superpositions of classical bits
Quantum measurements
11.The uncertainty principle applies to which of the following pairs of observables?
Position and momentum
Energy and time
Angular momentum and spin
Both A and B
12.In quantum mechanics, a pure state can be represented by a:
Density matrix with trace less than 1
State vector in a Hilbert space
Complex scalar
Classical probability distribution
13.The Pauli matrices are examples of:
Hermitian operators
Unitary operators
Anti-Hermitian operators
None of the above
14.In quantum measurement, the probability of an outcome is given by:
The real part of the wavefunction
The modulus squared of the wavefunction
The phase of the wavefunction
The expectation value of the wavefunction
15.What represents a change of basis in a quantum system?
A projection operator
A unitary transformation
A Hermitian transformation
A probabilistic map
16.The Deutsch-Jozsa algorithm is used to:
Solve NP-complete problems
Distinguish constant and balanced functions
Factor large integers
Find the period of a function
17.What is the basic unit of a quantum gate?
A reversible function
A unitary matrix
A Boolean function
A classical XOR operation
18.Grover's search algorithm provides a speedup for:
Database searching
Factoring integers
Quantum simulation
Error correction
19.The quantum Fourier transform is a key step in which quantum algorithm?
Grover's algorithm
Deutsch-Jozsa algorithm
Shor's algorithm
Bernstein-Vazirani algorithm
20.Which of the following codes is used for quantum error correction?
Bit-flip code
Phase-flip code
Shor code
All of the above
21.In quantum computing, measurements can:
Change the quantum state
Leave the quantum state unchanged
Always collapse the quantum state
Only provide partial information about the quantum state
22.Quantum entanglement refers to:
Superposition of states
Correlations between quantum systems that cannot be explained classically
Independent behavior of qubits
Collapse of the wavefunction
23.Which of the following measures is used to quantify quantum entanglement?
Shannon entropy
Von Neumann entropy
Mutual information
Bell inequality
24.What is quantum discord used to measure?
Classical correlations between qubits
The difference between classical and quantum correlations
The energy of a quantum state
The purity of a quantum state
25.What is the principle of superposition in quantum mechanics?
A state can be in multiple classical states simultaneously
A system always remains in a single state
Only particles with mass exhibit superposition
The probability of a state is always 1
26.A qubit can be represented mathematically as:
A complex number
A real number
A two-dimensional vector
A four-dimensional vector
27.Which of the following describes a quantum gate?
A probabilistic operator
A classical logic gate
A unitary matrix
A random process
28.The outcome of a quantum measurement is:
Always deterministic
Always probabilistic
Always equal to the expectation value
Always random
29.Which of the following is a basic law of quantum mechanics?
Newton's third law
The Schrödinger equation
Maxwell's equations
The law of entropy
30.Which of the following quantum gates is known as the square root of NOT?
Hadamard gate
T gate
S gate
√X gate
31.The Pauli-X gate acts on a qubit similarly to which classical gate?
XOR gate
AND gate
NOT gate
OR gate
32.Which of the following represents a mixed state in quantum mechanics?
A superposition state
A probabilistic mixture of pure states
A state with definite position
A state with definite energy
33.The collapse of a wavefunction refers to:
The loss of energy
A quantum measurement process
A quantum error correction process
The creation of a qubit
34.Which of the following is true about qubits compared to classical bits?
Qubits cannot be in superposition
Qubits can exist in a superposition of 0 and 1
Qubits are restricted to two states at a time
Qubits represent binary values exactly like classical bits
35.Which of the following is a universal quantum gate?
Toffoli gate
CNOT gate
Hadamard gate
All of the above
36.Quantum computers are faster than classical computers for certain tasks because
of:
Quantum entanglement
Quantum parallelism
Quantum measurements
Quantum dephasing
37.Which of the following problems can be efficiently solved using Shor’s algorithm?
Searching a large unsorted database
Factoring large integers
Solving linear equations
Solving optimization problems
38.Quantum gates are:
Linear and unitary
Linear and non-unitary
Non-linear and unitary
Non-linear and non-unitary
39.The quantum Fourier transform (QFT) is:
A classical Fourier transform
A quantum version of the classical Fourier transform
A measurement process
A method for generating random numbers
40.In quantum computing, the Hadamard gate creates:
A superposition of 0 and 1
An entangled state
A measurement
A phase flip
