Quantum Measurement Calculator
Calculate quantum measurement probabilities, expectation values, variance, and wave function collapse.
Inputs
Results
Outcome 1 Probability
50%
Outcome 2 Probability
50%
Expectation Value
0
Variance1
Standard Deviation1
Measurement Fidelity0.5
How to Use This Calculator
- Enter State 1 Amplitude and State 2 Amplitude — they should satisfy |α₁|² + |α₂|² = 1 for a valid normalized state.
- Choose Measurement Basis: Computational Basis (|0⟩, |1⟩) for standard qubit readout, Hadamard Basis (+/−) for X-basis measurement.
- Read Outcome 1 Probability and Outcome 2 Probability — these are the Born rule probabilities for each measurement result.
- The Expectation Value is the average of many identical measurements; Variance shows how spread out results will be.
- Measurement Fidelity indicates how faithfully the measurement distinguishes the two outcomes.
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Formula
P(outcome) = |⟨outcome|ψ⟩|²Related Calculators
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