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Physics

Schrödinger's cat

A 3D thought experiment about superposition, decoherence and measurement. Compare coherent and mixed states and collect outcome statistics.

Schrödinger's cat — Actual application image
Actual application image

What happens

A 3D thought experiment about superposition, decoherence and measurement. Compare coherent and mixed states and collect outcome statistics.

Z counts: alive / dead. X counts: + / −. The analyser is an ideal operation on both complete branches, not a feasible experiment with a cat. Dephasing suppresses interference; it does not by itself select an outcome. Times are illustrative.

Try this

Two displays represent possible outcomes of one thought experiment. Compare a coherent state with a mixture, then add dephasing or reveal one outcome.

Equations used in the module
Equations
ρ = [[p, c√(p(1−p)) e^(−iφ)], [c√(p(1−p)) e^(iφ), 1−p]]
p(t) = exp(−∫ λ dt); λ = ln(2)/T½
c(t) = c(0) exp(−∫ γ dt)
V = 2|ρ₀₁|; P(+) = 1/2 + Re(ρ₀₁)
Tr(ρ²) = p² + (1−p)² + 2|ρ₀₁|²

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