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Quantum Information Processing

Local unitary representation of braids and N-qubit entanglements

  • 01-03-2018
Published in:
Author
Li-Wei Yu
Published in
Quantum Information Processing | Issue 3/2018

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Abstract

In this paper, by utilizing the idea of stabilizer codes, we give some relationships between one local unitary representation of braid group in N-qubit tensor space and the corresponding entanglement properties of the N-qubit pure state \(|\varPsi \rangle \), where the N-qubit state \(|\varPsi \rangle \) is obtained by applying the braiding operation on the natural basis. Specifically, we show that the separability of \(|\varPsi \rangle =\mathcal {B}|0\rangle ^{\otimes N}\) is closely related to the diagrammatic version of the braid operator \(\mathcal {B}\). This may provide us more insights about the topological entanglement and quantum entanglement.

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previous article Requirement of system–reservoir bound states for entanglement protection
next article Security of BB84 with weak randomness and imperfect qubit encoding
Title
Local unitary representation of braids and N-qubit entanglements
Author
Li-Wei Yu
Publication date
01-03-2018
Publisher
Springer US
Published in
Quantum Information Processing / Issue 3/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-018-1811-3
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