A quantum measurement that minimally perturbs the system, extracting limited information without collapsing its state.Weak measurement is a quantum technique that extracts a small amount of information from a system while disturbing it only slightly, in contrast to standard 'strong' measurements that collapse the wavefunction. It was introduced in 1988 by Yakir Aharonov, David Albert, and Lev Vaidman, and has since become a powerful tool for probing quantum phenomena without destroying them. The method is especially useful for studying the evolution of quantum states, detecting faint signals, and exploring the boundary between quantum and classical behavior.
The concept was formalized by Aharonov, Albert, and Vaidman in 1988, building on earlier ideas about quantum measurements and the time-symmetric formulation of quantum mechanics.
A weak measurement couples the system to a measuring device so gently that the system's state barely changes. The device records a small, averaged shift — the 'weak value' — which can be amplified by post-selecting a particular final state of the system. This post-selection can produce surprising results, such as weak values outside the normal range of eigenvalues, while still preserving the system for further analysis.
Weak measurements are used in quantum metrology to detect tiny signals (e.g., beam deflections), in quantum state tomography, and in experiments probing the foundations of quantum mechanics, such as tests of the equivalence principle at quantum scales.
Weak measurement can amplify a signal beyond the standard quantum limit without violating uncertainty principles, because the amplification comes at the cost of discarding most of the data through post-selection.








