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Quantum Computing for Real-World Applications
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Module 1
Qubits, States, and First Executable Circuits
1
Normalizing a Two-Component Complex Vector for a Single-Qubit State
Normalize a complex two-component vector as a valid single-qubit state.
Normalize a complex two-component vector as a valid single-qubit state.
2
Global vs. Relative Phase in Qubit States
Distinguish global phase from relative phase in a qubit state.
Distinguish global phase from relative phase in a qubit state.
3
Computational-Basis Measurement Probabilities via the Born Rule
Calculate computational-basis measurement probabilities using the Born rule.
Calculate computational-basis measurement probabilities using the Born rule.
4
Applying Single-Qubit Gates to State Vectors
Apply standard single-qubit gates to a state vector and predict the resulting state.
Apply standard single-qubit gates to a state vector and predict the resulting state.
5
Representing Pure Qubit States on the Bloch Sphere
Represent a pure qubit state on the Bloch sphere.
Represent a pure qubit state on the Bloch sphere.
6
Composing Quantum Gates in Matrix Order
Compose a sequence of quantum gates in the correct matrix order.
Compose a sequence of quantum gates in the correct matrix order.
7
Simulating Repeated Single-Qubit Measurements with NumPy
Simulate repeated single-qubit measurements with NumPy.
Simulate repeated single-qubit measurements with NumPy.
8
Reproducing NumPy State-Vector Calculations in Qiskit
Reproduce a NumPy state-vector calculation in a Qiskit circuit.
Reproduce a NumPy state-vector calculation in a Qiskit circuit.
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