Virtual Labs

Variational Quantum Eigen solver

What type of computational problem does job scheduling primarily represent?

a: Linear algebra problem Explanation

Explanation

b: Combinatorial optimization problem Explanation

Explanation

c: Sorting problem Explanation

Explanation

d: Data compression problem Explanation

Explanation

How can quantum computing represent multiple scheduling configurations simultaneously?

a: By storing schedules in classical memory Explanation

Explanation

b: By using qubits that can exist in superposition Explanation

Explanation

c: By duplicating processors Explanation

Explanation

d: By reducing the number of tasks Explanation

Explanation

If a quantum system contains N qubits, how many possible states can it represent?

a: N states Explanation

Explanation

b: 2N states Explanation

Explanation

c: N squared states Explanation

Explanation

d: 2^N states Explanation

Explanation

How are constraints typically incorporated into quantum optimization problems?

a: By removing invalid solutions from the system Explanation

Explanation

b: By encoding them as penalty terms in an energy function Explanation

Explanation

c: By increasing the number of qubits Explanation

Explanation

d: By storing them in classical memory Explanation

Explanation

What does the Hamiltonian represent in many quantum optimization problems?

a: The energy function describing the system Explanation

Explanation

b: The physical hardware of the quantum computer Explanation

Explanation

c: The dataset used for training Explanation

Explanation

d: The number of qubits Explanation

Explanation

What effect do constraint violations typically have on the Hamiltonian energy?

a: They decrease the energy Explanation

Explanation

b: They have no effect on energy Explanation

Explanation

c: They increase the energy through penalty terms Explanation

Explanation

d: They remove the quantum state Explanation

Explanation

What is the purpose of a parameterized quantum circuit (ansatz)?

a: To generate adjustable quantum states for optimization Explanation

Explanation

b: To store classical data Explanation

Explanation

c: To reduce the number of qubits Explanation

Explanation

d: To measure the quantum hardware Explanation

Explanation

What is the role of rotation gates such as Rx(θ) in parameterized quantum circuits?

a: They destroy quantum states Explanation

Explanation

b: They adjust the probability amplitudes of quantum states Explanation

Explanation

c: They remove qubits from the circuit Explanation

Explanation

d: They convert qubits to classical bits Explanation

Explanation

What is the primary objective of the Variational Quantum Eigensolver (VQE)?

a: To maximize the Hamiltonian energy Explanation

Explanation

b: To find the lowest energy state of a Hamiltonian Explanation

Explanation

c: To generate new qubits Explanation

Explanation

d: To remove quantum noise Explanation

Explanation

In hybrid quantum algorithms like VQE, what is the role of classical optimization?

a: To replace the quantum circuit Explanation

Explanation

b: To update circuit parameters in order to minimize energy Explanation

Explanation

c: To generate quantum states directly Explanation

Explanation

d: To remove constraints from the problem Explanation

Explanation