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We propose a straightforward experimental protocol to test whetherqubit-environment entanglement is generated during pure dephasing of a qubit.The protocol is implemented using only measurements and operations on the qubit- it does not involve the measurement of the system-environment state ofinterest, but the preparation and measurement of the qubit in two simplevariations. A difference in the time dependencies of qubit coherence betweenthe two cases testifies to the presence of entanglement in the state ofinterest. Furthermore, it signifies that the environment-induced noiseexperienced by the qubit cannot be modeled as a classical stochastic processindependent of the qubit state. We demonstrate the operation of this protocolon a realistically modeled nitrogen vacancy center spin qubit in diamondinteracting with a nuclear spin environment, and show that the generation ofentanglement should be easily observable in this case.

How to detect qubit-environment entanglement generated during qubit dephasing