What Criterion Can We Get From Precise Entanglement Witnesses?

What Criterion Can We Get From Precise Entanglement Witnesses?

Entanglement detection is one of the important topics in quantum information theory. Wootters formula can be seen as a high level criterion for entanglement detection or entanglement quantification. However, it is restricted to two-qubit system, and its generalization is also limited. Based on a tho...

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Veröffentlicht in:IEEE journal on selected areas in communications 2020-03, Vol.38 (3), p.557-567
Hauptverfasser: Chen, Xiao-Yu, Jiang, Li-Zhen
Format: Artikel
Sprache:eng
Schlagworte:
Criteria
Dicke state
Eigenvalues and eigenfunctions
Entangled states
GHZ state
Information theory
Manganese
Matched entanglement witness
Noise measurement
Quantum entanglement
Quantum phenomena
Qubit
Qubits (quantum computing)
W state
White noise
Wootters formula
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Zusammenfassung:Entanglement detection is one of the important topics in quantum information theory. Wootters formula can be seen as a high level criterion for entanglement detection or entanglement quantification. However, it is restricted to two-qubit system, and its generalization is also limited. Based on a thorough study of a three-qubit Greenberger-Horne-Zeilinger (GHZ) state mixed with a W state and white noise, we find a connection between Wootters formula and the matched entanglement witness. Further study shows that for a four-qubit GHZ state mixed with a Dicke state and white noise, there is a new kind of Wootters formula.
ISSN:0733-8716
1558-0008
DOI:10.1109/JSAC.2020.2969006