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We implement a protocol to determine the degree of entanglement between a qubit and the rest of the system on a quantum computer. The protocol is based on results obtained in paper [Frydryszak et al. (2017)]. This protocol is tested on a…

量子物理 · 物理学 2020-06-24 A. R. Kuzmak , V. M. Tkachuk

We consider quantum graph states that can be mapped to directed weighted graphs, also known as directed networks. The geometric measure of entanglement of the states is calculated for the quantum graph states corresponding to arbitrary…

量子物理 · 物理学 2024-10-01 Kh. P. Gnatenko

We study the entanglement between a certain qubit and the remaining system in the Schr\"odinger cat state prepared on the ibmq-melbourne quantum computer. The protocol, which we use for this purpose, is based on the determination of the…

量子物理 · 物理学 2021-01-19 A. R. Kuzmak , V. M. Tkachuk

The problem of the relationship between entanglement and two-qubit systems in which it is embedded is central to the quantum information theory. This paper suggests that the concurrence hierarchy as an entanglement measure provides an…

量子物理 · 物理学 2009-11-11 Mahmoud Abdel-Aty

Interaction with environment may lead to the transition of quantum system from pure state to the mixed one. In this case, the problem of definition of entanglement may arise. In particular, quantitative measure of entanglement concurrence…

量子物理 · 物理学 2008-09-16 Levan Chotorlishvili

In a recent paper, Rungta et. al. [Phys. Rev. A, 64, 042315, 2001] introduced a measure of mixed-state entanglement called the I-concurrence for arbitrary pairs of qudits. We find an exact formula for an entanglement measure closely related…

量子物理 · 物理学 2009-11-07 Tobias J. Osborne

The degree to which a pure quantum state is entangled can be characterized by the distance or angle to the nearest unentangled state. This geometric measure of entanglement is explored for bi-partite and multi-partite pure and mixed states.…

量子物理 · 物理学 2009-05-18 Tzu-Chieh Wei

Experimental determination of entanglement is important not only to characterize the state and use it in quantum information, but also in understanding complicated phenomena such as phase transitions. In this paper we show that in many…

量子物理 · 物理学 2016-01-20 Gaurav Chaudhary , V. Ravishankar

The degree to which a pure quantum state is entangled can be characterized by the distance or angle to the nearest unentangled state. This geometric measure of entanglement, already present in a number of settings (see Shimony 1995 and…

量子物理 · 物理学 2009-11-10 Tzu-Chieh Wei , Paul M. Goldbart

The degree to which a pure quantum state is entangled can be characterized by the distance or angle to the nearest unentangled state. This geometric measure of entanglement, already present in a number of settings [A. Shimony, Ann. NY.…

量子物理 · 物理学 2007-05-23 Tzu-Chieh Wei , Paul M. Goldbart

Multi-qubit graph states generated by the action of controlled phase shift operators on a separable quantum state of a system, in which all the qubits are in arbitrary identical states, are examined. The geometric measure of entanglement of…

量子物理 · 物理学 2022-03-11 Kh. P. Gnatenko , N. A. Susulovska

Adding the maximally mixed state with some weight to the entanglement system leads to disentanglement of the latter. For each predefined entangled state there exists a minimal value of this weight for which the system loses its entanglement…

量子物理 · 物理学 2021-09-01 Yu. S. Krynytskyi , A. R. Kuzmak

We propose a directly measurable criterion for the entanglement of two qubits. We compare the criterion with other criteria, and we find that for pure states, and some mixed states, it coincides with the state's concurrency. The measure can…

量子物理 · 物理学 2016-08-16 Hoshang Heydari , Gunnar Björk , Luis Sánchez-Soto

Our study employs a connected correlation matrix to quantify Quantum Entanglement. The matrix encompasses all necessary measures for assessing the degree of entanglement between particles. We begin with a three-qubit state and involve…

量子物理 · 物理学 2023-12-06 Xingyu Guo , Chen-Te Ma

We quantify the geometric measure of entanglement in terms of mean values of observables of entangled system. For pure states we find the relation of geometric measure of entanglement with the mean value of spin one-half for the system…

量子物理 · 物理学 2017-10-11 A. M. Frydryszak , M. I. Samar , V. M. Tkachuk

A generic scheme for the parametrization of mixed state systems is introduced, which is then adapted to bipartite systems, especially to a 2-qubit system. Various features of 2-qubit entanglement are analyzed based on the scheme. Our…

量子物理 · 物理学 2022-07-15 Otto C. W. Kong , Hock King Ting

We consider graph states generated by the action of controlled phase shift operators on a separable state of a multi-qubit system. The case when all the qubits are initially prepared in arbitrary states is investigated. We obtain the…

量子物理 · 物理学 2024-01-29 N. A. Susulovska

Numerous work had been done to quantify the entanglement of a two-qubit quantum state, but it can be seen that previous works were based on joint measurements on two copies or more than two copies of a quantum state under consideration. In…

量子物理 · 物理学 2019-01-04 Satyabrata Adhikari

In contrast to abstract statistical analyses in the literature, we present a concrete physical diagrammatic model of entanglement characterization and measure with its underlying discrete phase-space physics. This paper serves as a…

量子物理 · 物理学 2023-05-30 Felix A. Buot

Bi-partite entanglement in multi-qubit systems cannot be shared freely. The rules of quantum mechanics impose bounds on how multi-qubit systems can be correlated. In this paper we utilize a concept of entangled graphs with weighted edges in…

量子物理 · 物理学 2009-11-10 Martin Plesch , Jaroslav Novotny , Zuzana Dzurakova , Vladimir Buzek
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