Almost every pure state of three qubits is completely determined by its two-particle reduced density matrices

N  Linden; S  Popescu; W K  Wootters

doi:10.1103/PhysRevLett.89.207901

Almost every pure state of three qubits is completely determined by its two-particle reduced density matrices

N Linden, S Popescu, W K Wootters

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Abstract

In a system of n quantum particles, we define a measure of the degree of irreducible n-way correlation, by which we mean the correlation that cannot be accounted for by looking at the states of n - 1 particles. In the case of almost all pure states of three qubits, we show that there is no such correlation: almost every pure state of three qubits is completely determined by its two-particle reduced density matrices.

Original language	English
Article number	207901
Pages (from-to)	-
Number of pages	4
Journal	Physical Review Letters
Volume	89
Issue number	20
DOIs	https://doi.org/10.1103/PhysRevLett.89.207901
Publication status	Published - 11 Nov 2002

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title = "Almost every pure state of three qubits is completely determined by its two-particle reduced density matrices",

abstract = "In a system of n quantum particles, we define a measure of the degree of irreducible n-way correlation, by which we mean the correlation that cannot be accounted for by looking at the states of n - 1 particles. In the case of almost all pure states of three qubits, we show that there is no such correlation: almost every pure state of three qubits is completely determined by its two-particle reduced density matrices.",

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AU - Wootters, W K

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N2 - In a system of n quantum particles, we define a measure of the degree of irreducible n-way correlation, by which we mean the correlation that cannot be accounted for by looking at the states of n - 1 particles. In the case of almost all pure states of three qubits, we show that there is no such correlation: almost every pure state of three qubits is completely determined by its two-particle reduced density matrices.

AB - In a system of n quantum particles, we define a measure of the degree of irreducible n-way correlation, by which we mean the correlation that cannot be accounted for by looking at the states of n - 1 particles. In the case of almost all pure states of three qubits, we show that there is no such correlation: almost every pure state of three qubits is completely determined by its two-particle reduced density matrices.

U2 - 10.1103/PhysRevLett.89.207901

DO - 10.1103/PhysRevLett.89.207901

M3 - Article (Academic Journal)

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JO - Physical Review Letters

JF - Physical Review Letters

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Almost every pure state of three qubits is completely determined by its two-particle reduced density matrices

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