The parts determine the whole in a generic pure quantum state

N Linden; WK Wootters

doi:10.1103/PhysRevLett.89.277906

The parts determine the whole in a generic pure quantum state

N Linden, WK Wootters

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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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 contribution	The parts determine the whole in a generic pure quantum state
Original language	English
Article number	Art. No. 277906
Pages (from-to)	1 - 4
Number of pages	4
Journal	Physical Review Letters
Volume	89 (27)
DOIs	https://doi.org/10.1103/PhysRevLett.89.277906
Publication status	Published - Dec 2002

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

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10.1103/PhysRevLett.89.277906

http://link.aps.org/abstract/PRL/v89/e277906

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title = "The parts determine the whole in a generic pure quantum state",

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.",

author = "N Linden and WK Wootters",

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T1 - The parts determine the whole in a generic pure quantum state

AU - Linden, N

AU - Wootters, WK

N1 - Publisher: American Physical Society Other identifier: IDS number 627RX

PY - 2002/12

Y1 - 2002/12

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevLett.89.277906

DO - 10.1103/PhysRevLett.89.277906

M3 - Article (Academic Journal)

VL - 89 (27)

SP - 1

EP - 4

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

M1 - Art. No. 277906

ER -

The parts determine the whole in a generic pure quantum state

Abstract

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