New Interpretation of the Scalar Product in Hilbert Space

Y. Aharonov*, David Z. Albert, C. K. Au

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The inner product of two states in Hilbert space is interpreted in terms of a relationship between two or more distinct physical systems. This point of view suggests a generalized notion of measurement, within which the familiar types of measurement occur as special cases. A variety of novel measuring procedures are described, which relate overcomplete sets of states for a given system to complete sets for some larger system (of which the smaller system forms a part).

Original languageEnglish
Pages (from-to)1029-1031
Number of pages3
JournalPhysical Review Letters
Issue number15
StatePublished - 1981


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