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.