IBM A1000-113 Intermediate Practice Exam: Medium Difficulty 2025

A quantum developer needs to create a quantum circuit that prepares the Bell state |Φ+⟩ = (|00⟩ + |11⟩)/√2. After applying a Hadamard gate to qubit 0, what operation should be applied next to complete the Bell state preparation?

A researcher is using Qiskit to simulate a quantum circuit but notices that execution time increases dramatically as they add more qubits. They need to run a 15-qubit circuit with moderate depth. Which simulator backend would be most appropriate for balancing accuracy and computational efficiency?

During the execution of a quantum algorithm on real IBM quantum hardware, a developer observes that measured outcomes deviate significantly from theoretical predictions, particularly for qubits with longer gate sequences. Which combination of error sources is most likely responsible for this observation?

A quantum application developer wants to implement Grover's algorithm to search through 64 unsorted items. How many iterations of the Grover operator should be applied to maximize the probability of finding the target item?

When measuring a qubit in the state |ψ⟩ = (3|0⟩ + 4i|1⟩)/5 in the computational basis, what is the probability of measuring the outcome '1'?

A data scientist is developing a quantum circuit in Qiskit and needs to apply a rotation around an arbitrary axis defined by angles θ=π/4 and φ=π/2 on the Bloch sphere. After transpiling the circuit for IBM quantum hardware, which set of gates would most likely appear in the transpiled circuit?

A quantum circuit designed for a specific application shows a quantum volume of 32 when executed on an IBM quantum processor. What does this indicate about the circuit's complexity and the system's capability?

A financial services company wants to use the Quantum Approximate Optimization Algorithm (QAOA) to solve a portfolio optimization problem. The problem involves 8 assets with constraints. What is the primary role of the classical optimizer in this hybrid quantum-classical algorithm?

A quantum engineer notices that two-qubit gates between certain qubit pairs on an IBM quantum processor result in significantly higher error rates than others. When designing a circuit, what strategy should be employed during the transpilation process to mitigate this issue?

A research team implements the Quantum Phase Estimation (QPE) algorithm with a unitary operator U that has an eigenvalue e^(2πiφ) where φ=0.375. If they use 3 counting qubits in their QPE circuit, what binary string will most likely be measured in the counting register?