Nonlocality of cluster states of qubits

Valerio Scarani; Antonio Acin; E Schenck; Markus Aspelmeyer

doi:10.1103/PhysRevA.71.042325

Nonlocality of cluster states of qubits

Valerio Scarani (Corresponding author)
, Antonio Acin
, E Schenck
, Markus Aspelmeyer

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

We investigate cluster states of qubits with respect to their nonlocal properties. We demonstrate that a Greenberger-Horne-Zeilinger (GHZ) argument holds for any cluster state: more precisely, it holds for any partial, thence mixed, state of a small number of connected qubits (five, in the case of one-dimensional lattices). In addition, we derive a Bell inequality that is maximally violated by the four-qubit cluster state and is not violated by the four-qubit GHZ state.

Original language	English
Article number	042325
Number of pages	5
Journal	Physical Review A
Volume	71
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevA.71.042325
Publication status	Published - 2005

Austrian Fields of Science 2012

103026 Quantum optics

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10.1103/PhysRevA.71.042325

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title = "Nonlocality of cluster states of qubits",

abstract = "We investigate cluster states of qubits with respect to their nonlocal properties. We demonstrate that a Greenberger-Horne-Zeilinger (GHZ) argument holds for any cluster state: more precisely, it holds for any partial, thence mixed, state of a small number of connected qubits (five, in the case of one-dimensional lattices). In addition, we derive a Bell inequality that is maximally violated by the four-qubit cluster state and is not violated by the four-qubit GHZ state.",

author = "Valerio Scarani and Antonio Acin and E Schenck and Markus Aspelmeyer",

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AU - Scarani, Valerio

AU - Acin, Antonio

AU - Schenck, E

AU - Aspelmeyer, Markus

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PY - 2005

Y1 - 2005

N2 - We investigate cluster states of qubits with respect to their nonlocal properties. We demonstrate that a Greenberger-Horne-Zeilinger (GHZ) argument holds for any cluster state: more precisely, it holds for any partial, thence mixed, state of a small number of connected qubits (five, in the case of one-dimensional lattices). In addition, we derive a Bell inequality that is maximally violated by the four-qubit cluster state and is not violated by the four-qubit GHZ state.

AB - We investigate cluster states of qubits with respect to their nonlocal properties. We demonstrate that a Greenberger-Horne-Zeilinger (GHZ) argument holds for any cluster state: more precisely, it holds for any partial, thence mixed, state of a small number of connected qubits (five, in the case of one-dimensional lattices). In addition, we derive a Bell inequality that is maximally violated by the four-qubit cluster state and is not violated by the four-qubit GHZ state.

U2 - 10.1103/PhysRevA.71.042325

DO - 10.1103/PhysRevA.71.042325

M3 - Article

SN - 1050-2947

VL - 71

JO - Physical Review A

JF - Physical Review A

IS - 4

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Nonlocality of cluster states of qubits

Abstract

Austrian Fields of Science 2012

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