What question did this study set out to answer?

To present a new one-parameter quantum channel model that bridges unitary evolution and measurement-induced decoherence.

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April 17, 2026Open Access

The Gate Channel as a Parametrized Lindblad Equation: An Operational Framework for Measurement-Induced Decoherence (Paper II/VII)

Key Points

To present a new one-parameter quantum channel model that bridges unitary evolution and measurement-induced decoherence.
Introduced the gate channel to interpolate between unitary and projective measurements.
Derived the Lindblad master equation for dephasing in the continuum limit.
Proposed three experimental protocols for testing the framework: double-slit interferometry, NMR spin-echo decay, and polarization-state degradation.
Demonstrated that the gate channel formulation aligns with established models for quantum decoherence.
Verified that the continuum limit of the gate channel recovers the GKSL/Lindblad equation exactly.
Outlined actionable experimental setups to validate the theoretical propositions.

Abstract

We introduce a one-parameter quantum channel — the gate channel — that continuously interpolates between unitary evolution (K=0) and projective measurement (K=1) via K(t) = 1 − exp(−Γt). Proof that the continuum limit recovers the GKSL/Lindblad master equation for dephasing exactly. Extensions to pipeline structure, general Kraus operators, and multi-environment coupling. Three falsifiable experimental protocols proposed: double-slit interferometry, NMR spin-echo decay, and polarization-state degradation. Paper II of VII in the Δ-Gate theoretical core. Part of the Δ-Gate Formalism (DOI: 10.5281/zenodo.19103765).

The Gate Channel as a Parametrized Lindblad Equation: An Operational Framework for Measurement-Induced Decoherence (Paper II/VII)

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Abstract

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