Universal quantum information compression and degrees of prior knowledge

RO Jozsa, SM Presnell

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

16 Citations (Scopus)

Abstract

We describe a universal information compression scheme that compresses any pure quantum i.i.d. source asymptotically to its von Neumann entropy, with no prior knowledge of the structure of the source. We introduce a diagonalisation procedure that enables any classical compression algorithm to be utilised in a quantum context. Our scheme is then based on the corresponding quantum translation of the classical Lempel-Ziv algorithm. Our methods lead to a conceptually simple way of estimating the entropy of a source in terms of the measurement of an associated length parameter while maintaining high fidelity for long blocks. As a by-product we also estimate the eigenbasis of the source. Since our scheme is based on the Lempel-Ziv method, it can be applied also to target sequences that are not i.i.d.
Translated title of the contributionUniversal quantum information compression and degrees of prior knowledge
Original languageEnglish
Pages (from-to)3061 - 3077
Number of pages18
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume459 (2040)
DOIs
Publication statusPublished - 8 Dec 2003

Bibliographical note

Publisher: The Royal Society

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