The parts determine the whole in a generic pure quantum state

N Linden, WK Wootters

Research output: Contribution to journalArticle (Academic Journal)peer-review

62 Citations (Scopus)

Abstract

We show that almost every pure state of multiparty quantum systems (each of whose local Hilbert space has the same dimension) is completely determined by the state's reduced density matrices of a fraction of the parties; this fraction is less than about two-thirds of the parties for states of large numbers of parties. In other words, once the reduced states of this fraction of the parties have been specified, there is no further freedom in the state.
Translated title of the contributionThe parts determine the whole in a generic pure quantum state
Original languageEnglish
Article numberArt. No. 277906
Pages (from-to)1 - 4
Number of pages4
JournalPhysical Review Letters
Volume89 (27)
DOIs
Publication statusPublished - Dec 2002

Bibliographical note

Publisher: American Physical Society
Other identifier: IDS number 627RX

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