A macroscopic device for quantum computation

Diederik Aerts; Ellie D'Hondt; Bart D'Hooghe; Marek Czachor; Jeroen Dehaene; Bart De Moor

A macroscopic device for quantum computation

Diederik Aerts, Ellie D'Hondt, Bart D'Hooghe, Marek Czachor, Jeroen Dehaene, Bart De Moor

Research output: Contribution to journal › Article › peer-review

Abstract

We show how a compound system of two entangled qubits in a non-product state can be described in a complete way by extracting entanglement into an internal constraint between the two qubits. By making use of a sphere model representation for the spin 1/2, we derive a geometric model for entanglement. We illustrate our approach on 2-qubit algorithms proposed by Deutsch, respectively Arvind. One of the advantages of the 2-qubit case is that it allows for a nice geometrical representation of entanglement, which contributes to a more intuitive grasp of what is going on in a 2-qubit quantum computation.

Original language	English
Pages (from-to)	200-211
Number of pages	12
Journal	International Journal of Theoretical Physics
Volume	47
Issue number	1
Publication status	Published - 2008

Bibliographical note

Accepted for publication in Foundations of Science

Keywords

Quantum computation
Entanglement
Macroscopic quantum models

Handle.net

Persistent link

FWOWO22: Research on the construction of integrating worldviews.
Aerts, D. (Scientific Promotor) & Aerts, D. (Administrative Promotor)
1/01/06 → 31/12/10
Project: Fundamental
FWOAL293: The development of new quantum algorithms.
Aerts, D. (Scientific Promotor), Aerts, D. (Administrative Promotor), Czachor, M. (Mandate) & D'Hooghe, B. (Mandate)
1/01/04 → 31/12/07
Project: Fundamental

Current research in operational quantum logic
Aerts, D. (Participant)
1 Jan 1998
Activity: Participating in or organising an event › Participation in workshop, seminar
University of Gdansk (External organisation)
Aerts, D. (Member)
1800 → …
Activity: Membership › Membership of external research organisation

Re-election as Secretary of the International Quantum Structures Association by the membership
Aerts, D. (Recipient), 2004
Prize: Prize (including medals and awards)

Cite this

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title = "A macroscopic device for quantum computation",

abstract = "We show how a compound system of two entangled qubits in a non-product state can be described in a complete way by extracting entanglement into an internal constraint between the two qubits. By making use of a sphere model representation for the spin 1/2, we derive a geometric model for entanglement. We illustrate our approach on 2-qubit algorithms proposed by Deutsch, respectively Arvind. One of the advantages of the 2-qubit case is that it allows for a nice geometrical representation of entanglement, which contributes to a more intuitive grasp of what is going on in a 2-qubit quantum computation.",

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note = "Accepted for publication in Foundations of Science",

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volume = "47",

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T1 - A macroscopic device for quantum computation

AU - Aerts, Diederik

AU - D'Hondt, Ellie

AU - D'Hooghe, Bart

AU - Czachor, Marek

AU - Dehaene, Jeroen

AU - De Moor, Bart

N1 - Accepted for publication in Foundations of Science

PY - 2008

Y1 - 2008

N2 - We show how a compound system of two entangled qubits in a non-product state can be described in a complete way by extracting entanglement into an internal constraint between the two qubits. By making use of a sphere model representation for the spin 1/2, we derive a geometric model for entanglement. We illustrate our approach on 2-qubit algorithms proposed by Deutsch, respectively Arvind. One of the advantages of the 2-qubit case is that it allows for a nice geometrical representation of entanglement, which contributes to a more intuitive grasp of what is going on in a 2-qubit quantum computation.

AB - We show how a compound system of two entangled qubits in a non-product state can be described in a complete way by extracting entanglement into an internal constraint between the two qubits. By making use of a sphere model representation for the spin 1/2, we derive a geometric model for entanglement. We illustrate our approach on 2-qubit algorithms proposed by Deutsch, respectively Arvind. One of the advantages of the 2-qubit case is that it allows for a nice geometrical representation of entanglement, which contributes to a more intuitive grasp of what is going on in a 2-qubit quantum computation.

KW - Quantum computation

KW - Entanglement

KW - Macroscopic quantum models

M3 - Article

SN - 0020-7748

VL - 47

SP - 200

EP - 211

JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

IS - 1

ER -

A macroscopic device for quantum computation

Abstract

Bibliographical note

Keywords

Handle.net

Fingerprint

Projects

FWOWO22: Research on the construction of integrating worldviews.

FWOAL293: The development of new quantum algorithms.

Activities

Current research in operational quantum logic

University of Gdansk (External organisation)

Prizes

Re-election as Secretary of the International Quantum Structures Association by the membership

Cite this