Concept 32 of 42 · Control, Noise and Scalable Devices

Relaxation and dephasing

Quantum information decays through energy loss and phase randomization.

01 / Mathematical framework
$$\frac1{T_2}=\frac1{2T_1}+\frac1{T_\varphi}$$

Physical intuition

Quantum information decays through energy loss and phase randomization.

Deep dive: physical mechanism

T1 measures population relaxation; pure dephasing contributes additional coherence loss.

What is measured experimentally?

Inversion recovery, Ramsey and Hahn echo extract time constants.

Assumptions, noise and limitations

The equality assumes standard Markovian exponential-decay definitions.

Research and simulation exercise

Fit synthetic relaxation and Ramsey traces.

Connect the ideas

Explore the chapter overview, learning path, and references.

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