Object.QuantumMeasurement (object v0.1.2)
Quantum measurement simulation with probabilistic outcomes and real-time correlation.
Implements the fundamental postulates of quantum mechanics:
- State collapse upon measurement
- Born rule for measurement probabilities
- Instantaneous correlation for entangled systems
- Measurement basis transformations
Summary
Functions
Calculate Bell inequality CHSH correlation for entangled pair measurements.
Measures one qubit of an entangled pair, causing instantaneous correlation. Returns {local_result, partner_result, collapsed_pair_state}
Performs X-basis (Hadamard rotated) measurement on a single qubit. Transforms |0⟩ → (|0⟩ + |1⟩)/√2, |1⟩ → (|0⟩ - |1⟩)/√2
Performs Y-basis measurement on a single qubit.
Performs Z-basis measurement on a single qubit. Returns {measurement_result, collapsed_state}
Functions
Calculate Bell inequality CHSH correlation for entangled pair measurements.
CHSH inequality: |E(a,b) - E(a,b') + E(a',b) + E(a',b')| ≤ 2 (classical) Quantum mechanics can violate this up to 2√2 ≈ 2.828 (Tsirelson bound)
Measures one qubit of an entangled pair, causing instantaneous correlation. Returns {local_result, partner_result, collapsed_pair_state}
Performs X-basis (Hadamard rotated) measurement on a single qubit. Transforms |0⟩ → (|0⟩ + |1⟩)/√2, |1⟩ → (|0⟩ - |1⟩)/√2
Performs Y-basis measurement on a single qubit.
Performs Z-basis measurement on a single qubit. Returns {measurement_result, collapsed_state}