Quantum Lab.
From amplitudes to entanglement.
A sequence of small, reproducible experiments that make the mathematics of quantum computing tangible. Each lesson connects a simple question to an analytic prediction, an ideal Qiskit circuit, and a bounded interpretation.
One concept. One experiment. One verified result.
Read in order, or choose the concept you want to revisit.
A Qubit Is a State, Not a Probability
Statevectors, normalization and the Born rule
When a Phase Becomes Observable
Hadamard gates, relative phase and interference
Two Qubits, Four Amplitudes
Tensor products and basis-state ordering
Correlation Is Not Entanglement
Bell states, coherence and a classical control
What the experiments establish—and what they do not.
For each experiment, analytic NumPy calculations were compared with independently constructed Qiskit ideal-statevector circuits in the local Python environment. The reported agreement concerns amplitudes or probabilities for the specified circuits.
The experiments did not run on quantum hardware, model device noise, demonstrate a speed advantage, or evaluate a financial prediction strategy. Any finite-shot counts identified as NumPy are classical draws from theoretical probabilities.
Foundations first. Applications only when justified.
The longer research path is quantum representation → quantum learning algorithms → financially meaningful tasks → matched classical benchmarks. Moving to the next stage requires a testable research question and reproducible evidence, not simply a working quantum circuit.
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