General quantum Hilbert space modeling scheme for entanglement

Diederik Aerts; Sandro Sozzo

General quantum Hilbert space modeling scheme for entanglement

Centrum Leo Apostel

Onderzoeksoutput: Conference paper

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We work out a classification scheme for quantum modeling in Hilbert space of any kind of composite entity violating Bell's inequalities and exhibiting entanglement. Our theoretical framework includes situations with entangled states and product measurements ('customary quantum situation'), and also situations with both entangled states and entangled measurements ('nonlocal box situation', 'nonlocal non-marginal box situation'). We show that entanglement is structurally a joint property of states and measurements. Furthermore, entangled measurements enable quantum modeling of situations that are usually believed to be 'beyond quantum'. Our results are also extended from pure states to quantum mixtures.

Originele taal-2	English
Titel	Proceedings of the Seventh International Conference on Quantum Nano and Micro Technologies
Redacteuren	V. Ovchinnikov, P. Dini
Uitgeverij	IARIA
Pagina's	34-40
Aantal pagina's	7
ISBN van geprinte versie	978-1-61208-303-2
Status	Published - 2013
Evenement	ICQNM 2013 - The Seventh International Conference on Quantum, Nano and Micro Technologies - Barcelona, Spain Duur: 25 aug 2013 → 31 aug 2013

Conference

Conference	ICQNM 2013 - The Seventh International Conference on Quantum, Nano and Micro Technologies
Land/Regio	Spain
Stad	Barcelona
Periode	25/08/13 → 31/08/13

Bibliografische nota

V. Ovchinnikov and P. Dini

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http://xxx.lanl.gov/abs/1304.3733

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@inproceedings{93d7830370244e62a918a6c92c845993,

title = "General quantum Hilbert space modeling scheme for entanglement",

abstract = "We work out a classification scheme for quantum modeling in Hilbert space of any kind of composite entity violating Bell's inequalities and exhibiting entanglement. Our theoretical framework includes situations with entangled states and product measurements ('customary quantum situation'), and also situations with both entangled states and entangled measurements ('nonlocal box situation', 'nonlocal non-marginal box situation'). We show that entanglement is structurally a joint property of states and measurements. Furthermore, entangled measurements enable quantum modeling of situations that are usually believed to be 'beyond quantum'. Our results are also extended from pure states to quantum mixtures.",

keywords = "Quantum entanglement, Nonlocal box, Marginal distribution",

author = "Diederik Aerts and Sandro Sozzo",

note = "V. Ovchinnikov and P. Dini; ICQNM 2013 - The Seventh International Conference on Quantum, Nano and Micro Technologies ; Conference date: 25-08-2013 Through 31-08-2013",

year = "2013",

language = "English",

isbn = "978-1-61208-303-2",

pages = "34--40",

editor = "V. Ovchinnikov and P. Dini",

booktitle = "Proceedings of the Seventh International Conference on Quantum Nano and Micro Technologies",

publisher = "IARIA",

}

Aerts, D & Sozzo, S 2013, General quantum Hilbert space modeling scheme for entanglement. in V Ovchinnikov & P Dini (redactie), Proceedings of the Seventh International Conference on Quantum Nano and Micro Technologies. IARIA, blz. 34-40, ICQNM 2013 - The Seventh International Conference on Quantum, Nano and Micro Technologies, Barcelona, Spain, 25/08/13. <http://xxx.lanl.gov/abs/1304.3733>

TY - GEN

T1 - General quantum Hilbert space modeling scheme for entanglement

AU - Aerts, Diederik

AU - Sozzo, Sandro

N1 - V. Ovchinnikov and P. Dini

PY - 2013

Y1 - 2013

N2 - We work out a classification scheme for quantum modeling in Hilbert space of any kind of composite entity violating Bell's inequalities and exhibiting entanglement. Our theoretical framework includes situations with entangled states and product measurements ('customary quantum situation'), and also situations with both entangled states and entangled measurements ('nonlocal box situation', 'nonlocal non-marginal box situation'). We show that entanglement is structurally a joint property of states and measurements. Furthermore, entangled measurements enable quantum modeling of situations that are usually believed to be 'beyond quantum'. Our results are also extended from pure states to quantum mixtures.

AB - We work out a classification scheme for quantum modeling in Hilbert space of any kind of composite entity violating Bell's inequalities and exhibiting entanglement. Our theoretical framework includes situations with entangled states and product measurements ('customary quantum situation'), and also situations with both entangled states and entangled measurements ('nonlocal box situation', 'nonlocal non-marginal box situation'). We show that entanglement is structurally a joint property of states and measurements. Furthermore, entangled measurements enable quantum modeling of situations that are usually believed to be 'beyond quantum'. Our results are also extended from pure states to quantum mixtures.

KW - Quantum entanglement

KW - Nonlocal box

KW - Marginal distribution

M3 - Conference paper

SN - 978-1-61208-303-2

SP - 34

EP - 40

BT - Proceedings of the Seventh International Conference on Quantum Nano and Micro Technologies

A2 - Ovchinnikov, V.

A2 - Dini, P.

PB - IARIA

T2 - ICQNM 2013 - The Seventh International Conference on Quantum, Nano and Micro Technologies

Y2 - 25 August 2013 through 31 August 2013

ER -

General quantum Hilbert space modeling scheme for entanglement

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Conference

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