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 |
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| creator | Chen, Xiao-Yu Jiang, Li-Zhen |
| description | 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. |
| doi_str_mv | 10.1109/JSAC.2020.2969006 |
| format | Article |
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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.</description><identifier>ISSN: 0733-8716</identifier><identifier>EISSN: 1558-0008</identifier><identifier>DOI: 10.1109/JSAC.2020.2969006</identifier><identifier>CODEN: ISACEM</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>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</subject><ispartof>IEEE journal on selected areas in communications, 2020-03, Vol.38 (3), p.557-567</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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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.</description><subject>Criteria</subject><subject>Dicke state</subject><subject>Eigenvalues and eigenfunctions</subject><subject>Entangled states</subject><subject>GHZ state</subject><subject>Information theory</subject><subject>Manganese</subject><subject>Matched entanglement witness</subject><subject>Noise measurement</subject><subject>Quantum entanglement</subject><subject>Quantum phenomena</subject><subject>Qubit</subject><subject>Qubits (quantum computing)</subject><subject>W state</subject><subject>White noise</subject><subject>Wootters formula</subject><issn>0733-8716</issn><issn>1558-0008</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kMFKw0AURQdRsFY_QNwMuE59700mmdkoEtqqFBRUuhyS9EVT2qTOTBf-vS0tru7m3HvhCHGNMEIEe_fy_liMCAhGZDMLkJ2IAWptEgAwp2IAuVKJyTE7FxchLAEwTQ0NxP38u4yy8G1k3_adLMpOzllOOcqJ79fyzXPdBpbjLpbd14rX3EU5b2PHIXB4uBRnTbkKfHXMoficjD-Kp2T2On0uHmdJTVbFpMKyUg1hxVTrTBHk0KRYNVhZTQoapTNGIMw1siaLiwqJNNUVssGFtmoobg-7G9__bDlEt-y3vttdOlImA52q1OwoPFC170Pw3LiNb9el_3UIbq_J7TW5vSZ31LTr3Bw6LTP_88ZmOeSk_gAScmDo</recordid><startdate>20200301</startdate><enddate>20200301</enddate><creator>Chen, Xiao-Yu</creator><creator>Jiang, Li-Zhen</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| subjects | 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 |
| title | What Criterion Can We Get From Precise Entanglement Witnesses? |
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