Introducing upper and lower bounds for Ré nyi entanglement Measure

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Moslehi Mahboobeh; Baghshahi Hamid Reza; Mirafzali Sayyed Yahya

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Journal: JOURNAL OF RESEARCH ON MANY BODY SYSTEMS Year:2018 | Volume:8 | Issue:18 Page(s): 35-41

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Title

Introducing upper and lower bounds for Ré nyi entanglement Measure

Author(s)

Moslehi Mahboobeh | Baghshahi Hamid Reza | Mirafzali Sayyed Yahya | Issue Writer Certificate

Keywords

Concurrence measureQ1

Tangle measureQ1

RéQ1

nyi entanglement measureQ1

Upper and lower bounds of entanglementQ1

Spin systemQ1

Abstract

Determining the amount of entanglement is one of the important subjects in the quantum information theory. In this field, different measures have been introduced to determine the degree of entanglement of bipartite systems. Concurrence and Tangle measures are two samples of these measures, which are generally difficult to calculate analytically for arbitrary mixed states. Hence, in order to have an approximation of entanglement, besides of the numerical methods, a series of upper and lower bounds that can be easily calculated have been introduced. On the other hand, concurrence and Tangle measures have a relationship, in certain range with Ré; nyi entanglement measure. In this paper, using the upper and lower bounds of tangle and Concurrence measures and with regard to the relationship between these measures and the Ré; nyi entanglement measure, upper and lower bounds are introduced for the Ré; nyi entanglement measure. Then, in a Spin system, the efficiency of these bounds is examined.

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APA: Copy

Baghshahi, Hamid Reza, Moslehi, Mahboobeh, & Mirafzali, Sayyed Yahya. (2018). Introducing upper and lower bounds for Ré nyi entanglement Measure. JOURNAL OF RESEARCH ON MANY BODY SYSTEMS, 8(18 ), 35-41. SID. https://sid.ir/paper/243835/en

Vancouver: Copy

Baghshahi Hamid Reza, Moslehi Mahboobeh, Mirafzali Sayyed Yahya. Introducing upper and lower bounds for Ré nyi entanglement Measure. JOURNAL OF RESEARCH ON MANY BODY SYSTEMS[Internet]. 2018;8(18 ):35-41. Available from: https://sid.ir/paper/243835/en

IEEE: Copy

Hamid Reza Baghshahi, Mahboobeh Moslehi, and Sayyed Yahya Mirafzali, “Introducing upper and lower bounds for Ré nyi entanglement Measure,” JOURNAL OF RESEARCH ON MANY BODY SYSTEMS, vol. 8, no. 18 , pp. 35–41, 2018, [Online]. Available: https://sid.ir/paper/243835/en

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