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Quantum Information Processing
Erschienen in: Quantum Information Processing 1/2016

01.01.2016

Teleportation-based quantum computation, extended Temperley–Lieb diagrammatical approach and Yang–Baxter equation

verfasst von: Yong Zhang, Kun Zhang, Jinglong Pang

Erschienen in: Quantum Information Processing | Ausgabe 1/2016

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Abstract

This paper focuses on the study of topological features in teleportation-based quantum computation and aims at presenting a detailed review on teleportation-based quantum computation (Gottesman and Chuang in Nature 402: 390, 1999). In the extended Temperley–Lieb diagrammatical approach, we clearly show that such topological features bring about the fault-tolerant construction of both universal quantum gates and four-partite entangled states more intuitive and simpler. Furthermore, we describe the Yang–Baxter gate by its extended Temperley–Lieb configuration and then study teleportation-based quantum circuit models using the Yang–Baxter gate. Moreover, we discuss the relationship between the extended Temperley–Lieb diagrammatical approach and the Yang–Baxter gate approach. With these research results, we propose a worthwhile subject, the extended Temperley–Lieb diagrammatical approach, for physicists in quantum information and quantum computation.
Vorheriger Artikel Quantum entanglement establishment between two strangers
Nächster Artikel A general framework for complete positivity

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Fußnoten
1
This section is an extended version of the authors’ unpublished paper [12] in which topological features of teleportation-based quantum computation are claimed to be associated with topological features of space–time.
 
2
The Yang–Baxter gate B in this paper is denoted as the Yang–Baxter gate \(B'\) in the authors’ another paper [13].
 
3
The case for the loop parameter \(\lambda =2\) has been discussed in [22].
 
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Metadaten
Titel
Teleportation-based quantum computation, extended Temperley–Lieb diagrammatical approach and Yang–Baxter equation
verfasst von
Yong Zhang
Kun Zhang
Jinglong Pang
Publikationsdatum
01.01.2016
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 1/2016
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-015-1158-y

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