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FUNDAMENTALS / 01 / QUBITS

Why quantum computing?

Understand what quantum computing changes, without promises of universal speedups.

Intuition

Computation transforms information according to rules. Quantum computing uses rules for quantum states, while a measurement still produces ordinary classical information.

A quantum computer is not a faster replacement for every laptop task. Useful quantum algorithms exploit structure in particular problems. Superposition alone does not let us read every possible answer. Our first experiment is deliberately small: change one state and predict its measurement.

The mathematics

∣0⟩→X∣1⟩,P(1)=1|0\rangle\xrightarrow{X}|1\rangle,\quad P(1)=1
Look a little deeper

Do not confuse a large search space with a proven quantum advantage. An algorithm's resources and the classical comparison matter. Simulator results teach ideal mathematics; they are not evidence of a hardware speedup.

Use it

Prepare |1⟩ with one X gate. Compare the predicted outcome with the simulator's probabilities.

This exercise uses the same server-side state and circuit checks as its linked practice problem.

Build your circuit

Click a gate to append it, or drag it onto a wire. CX uses the selected control; SWAP uses it as the second operand. Basis order: |qₙ … q₀⟩.

q0

Returned logical circuit · before transpilation · q0 on top

0 / 32 gates · terminal measurement of all qubits

Connect to code

qc = QuantumCircuit(1)
qc.x(0)

These operations go inside a circuit-building program. Practice problems provide a complete solve() template.

Solve the linked Qiskit problem →

Check your understanding

Does quantum computing guarantee faster solutions for every task?

First complete the circuit exercise successfully.