Concept 25 of 42 · Noise, Decoherence and Control

Measurement back-action

Measuring a quantum system can disturb a conjugate observable.

01 / Mathematical framework
$$\Delta X\,\Delta P\geq\hbar/2$$

Physical intuition

Measuring a quantum system can disturb a conjugate observable.

Deep dive: physical mechanism

Probe–system coupling transfers information to the meter while introducing disturbance. Continuous measurements exhibit imprecision and back-action tradeoffs.

What is measured experimentally?

Observe readout noise and conditional state evolution.

Assumptions, noise and limitations

The uncertainty relation alone does not quantify every detector's practical back-action.

Research and simulation exercise

Simulate a weak continuous qubit measurement trajectory.

Connect the ideas

Explore the chapter overview, learning path, and references.

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