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Article presents general formulation of entanglement measures problem in terms of correlation function. Description of entanglement in probabilistic framework allow us to introduce new quantity which describes quantum and classical…

Quantum Physics · Physics 2007-05-23 S. Bugajski , J. A. Miszczak

We introduce a purely geometric formulation for two different measures addressed to quantify the entanglement between different parts of a tripartite qubit system. Our approach considers the entanglement-polytope defined by the smallest…

Quantum Physics · Physics 2024-10-29 Salvio Luna-Hernandez , Marco Enriquez , Oscar Rosas-Ortiz

Genuine multipartite entanglement is crucial for quantum information and related technologies but quantifying it has been a long-standing challenge. Most proposed measures do not meet the ``genuine'' requirement, making them unsuitable for…

Quantum Physics · Physics 2024-06-25 Songbo Xie , Daniel Younis , Yuhan Mei , Joseph H. Eberly

Resource identification and quantification is an essential element of both classical and quantum information theory. Entanglement is one of these resources, arising when quantum communication and nonlocal operations are expensive to…

Quantum Physics · Physics 2013-03-20 Sebastian Meznaric

In this paper, we present a new approach to study genuine tripartite entanglement existing in $(2\times 2\times n)-$dimensional quantum pure states. By utilizing the approach, we introduce a particular quantity to measure genuine tripartite…

Quantum Physics · Physics 2008-12-05 Chang-shui Yu , He-shan Song , Ya-hong Wang

To characterize entanglement of tripartite $\mathbb{C}^d\otimes\mathbb{C}^d\otimes\mathbb{C}^d$ systems, we employ algebraic-geometric tools that are invariants under Stochastic Local Operation and Classical Communication (SLOCC), namely…

Quantum Physics · Physics 2022-10-31 Masoud Gharahi , Stefano Mancini

Entanglement plays a central role in the field of quantum information science. It is well known that the degree of entanglement cannot be increased under local operations. Here, we show that the concurrence of a bipartite entangled state…

Quantum Physics · Physics 2014-12-25 Shin-Liang Chen , Guang-Yin Chen , Yueh-Nan Chen

It has recently been argued that among the various suggested measures of tripartite entanglement, the two particular measures, viz. the Concurrence Fill and the Genuine Multipartite Concurrence are the only 'genuine' tripartite entanglement…

Quantum Physics · Physics 2023-09-01 Sakil Khan , Dipankar Home , Urbasi Sinha , Sachin Jain

Entanglement is the resource to overcome the natural limitations of spatially separated parties restricted to Local Operations assisted by Classical Communications (LOCC). Recently two new classes of operational entanglement measures, the…

Quantum Physics · Physics 2016-01-06 D. Sauerwein , K. Schwaiger , M. Cuquet , J. I. de Vicente , B. Kraus

In the framework of three flavor neutrino oscillation, we demonstrate that the measures of entanglement can be expressed in terms of experimentally accessible appearance and disappearance probabilities. We explicitly show here that the…

High Energy Physics - Phenomenology · Physics 2026-03-26 Rajrupa Banerjee , Prasanta K. Panigrahi , Hiranmaya Mishra , Sudhanwa Patra

Teleporting an unknown qubit state is a paradigmatic quantum information processing task revealing the advantage of quantum communication protocols over their classical counterpart. For a teleportation protocol using a Bell state as quantum…

Quantum Physics · Physics 2021-10-26 Mirko Consiglio , Louis Zammit Mangion , Tony John George Apollaro

Entanglement concurrence is an important bipartite entanglement measure that has found wide applications in quantum technologies. In this work, inspired by unified entropy, we introduce a two-parameter family of entanglement measures,…

Quantum Physics · Physics 2026-02-02 Chen-Ming Bai , Yu Luo

It is an interesting problem to construct genuine tripartite entangled states based on the collective use of two bipartite entangled states. We consider the case that the states are two-qubit Werner states, we construct the interval of…

Quantum Physics · Physics 2020-04-02 Yize Sun , Lin Chen

Nonlocal correlations arising from measurements on tripartite entangled states can be classified into two groups, one genuinely $3-$way nonlocal and other local with respect to some bipartition. Still, whether a genuinely tripartite…

Quantum Physics · Physics 2016-11-15 Biswajit Paul , Kaushiki Mukherjee , Debasis Sarkar

We derive an explicit analytic estimate for the entanglement of a large class of bipartite quantum states which extends into bound entanglement regions. This is done by using an efficiently computable concurrence lower bound, which is…

The entanglement content of superpositions of quantum states is investigated based on a measure called {\it concurrence}. Given a bipartite pure state in arbitrary dimension written as the quantum superposition of two other such states, we…

Quantum Physics · Physics 2009-11-13 J. Niset , N. J. Cerf

We evaluate and analyze the exact value of a measure for local genuine tripartite entanglement in the one-dimensional cluster-Ising model. This model is attractive since cluster states are considered to be relevant sources for applying…

Statistical Mechanics · Physics 2014-10-01 S. M. Giampaolo , B. C. Hiesmayr

Invertible local transformations of a multipartite system are used to define equivalence classes in the set of entangled states. This classification concerns the entanglement properties of a single copy of the state. Accordingly, we say…

Quantum Physics · Physics 2009-11-06 W. Dür , G. Vidal , J. I. Cirac

While spatial quantum correlations have been studied in great detail, much less is known about the genuine quantum correlations that can be exhibited by temporal processes. Employing the quantum comb formalism, processes in time can be…

Quantum Physics · Physics 2021-06-18 Simon Milz , Cornelia Spee , Zhen-Peng Xu , Felix A. Pollock , Kavan Modi , Otfried Gühne

In this paper, we introduce a category of one-parameter bipartite entanglement quantifiers, termed $G_q$-concurrence ($q>1$), and show rigorously that they satisfy all the axiomatic conditions of an entanglement measure and can be…

Quantum Physics · Physics 2024-06-28 Hui Li , Ting Gao , Fengli Yan