Weak-value measurements at quantum systems:theory, realizations, applications and open problems
CHEN Xi
DAI Hong-yi
ZHANG Ming
Abstract：First proposed in 1988, the quantum weak-value measurement has become an experimental tool with func-tions of amplifying small signals, obtaining complex-number-valued observable results and measuring nonclassical features in quantum systems, and it is distinctly different from the projective measurement. Nowadays researchers have not reached a consensus on the physical interpretation of a weak-value. According to the mathematical expression, the weak-value is regarded from a practical view as a conditioned observable expectation related to the measurement operational procedure in this review. First, the theoretical description is presented for the general procedure of the weak-value measurement, and the purpose of the key step in the procedure is explained. Second, four experiment schemes with different physical realizations published in multiple research papers are assembled here. Third, this review presents three typical applications of the weak-value measurement and their corresponding requirements. Last, future research directions on the weak-value measurement are discussed through focusing on these four open problems: improving physical realization manners, overpassing the applicative condition limitation, analyzing experimental error influence and exploring other application possibilities.
Keywords：quantum theory-reviewsquantum theory-measurementsquantum theory-analysisquantum theory-applicationsweak-value measurement
Publication Date：2017-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：19( 1410-1428 )