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Quantum state elimination measurements tell us what states a quantum system does not have. This is different from state discrimination, where one tries to determine what the state of a quantum system is, rather than what it is not. Apart…

We construct a class of entangled states in $\mathcal{H}=\mathcal{H}_{A}\otimes\mathcal{H}_{B}\otimes\mathcal{H}_{C}$ quantum systems with $dim\mathcal{H}_{A}=dim\mathcal{H}_{B}=dim\mathcal{H}_{C}=2$ and classify those states with respect…

量子物理 · 物理学 2015-09-25 Hui Zhao , Xinyu Yu , Naihuan Jing

Separability from the spectrum is a significant and ongoing research topic in quantum entanglement. In this study, we investigate properties related to absolute separability from the spectrum in qudits-qudits states in the bipartite states…

量子物理 · 物理学 2024-08-22 Liang Xiong , Nung-Sing Sze

Dicke states are a family of multi-qubit quantum states with interesting entanglement properties and have been observed in many experiments. We construct entanglement witnesses for detecting genuine multiparticle entanglement in the…

量子物理 · 物理学 2013-09-13 Marcel Bergmann , Otfried Gühne

We show that it is possible to achieve maximally entangled mixed states of two qubits from the singlet state via the action of local non-trace-preserving quantum channels. Moreover, we present a simple, feasible linear optical…

量子物理 · 物理学 2007-05-23 A. Aiello , G. Puentes , D. Voigt , J. P. Woerdman

Quantum coherence and quantum entanglement are two strong pillars in quantum information theory. We study here for the possibility of any connection between these two important aspects of quantum mechanics while studying the entanglement…

量子物理 · 物理学 2022-03-25 Palash Garhwal , Pranav Chandhok , Satyabrata Adhikari

One way to explore multiparticle entanglement is to ask for maximal entanglement with respect to different bipartitions, leading to the notion of absolutely maximally entangled states or perfect tensors. A different path uses unitary…

量子物理 · 物理学 2024-01-26 Fabian Bernards , Otfried Gühne

We explore the connection between quantum entanglement and the exchange symmetry of the states of N identical particles. Each particle has n-levels. The N particles span the nN dimensional Hilbert space. We shall call the general state of…

量子物理 · 物理学 2007-05-23 Jagdish Rai , Suranjana Rai

We present a description of finite dimensional quantum entanglement, based on a study of the space of all convex decompositions of a given density matrix. On this space we construct a system of real polynomial equations describing separable…

量子物理 · 物理学 2008-08-27 J. K. Korbicz , F. Hulpke , A. Osterloh , M. Lewenstein

As one of the most profound features of quantum mechanics, entanglement is a vital resource for quantum information processing. Inspired by the recent work on PT-moments and separablity [Phys. Rev. Lett. {\bf 127}, 060504 (2021)], we…

量子物理 · 物理学 2024-02-21 Xiaofen Huang , Naihuan Jing

For a given pure state of a composite quantum system we analyze the product of its projections onto a set of locally orthogonal separable pure states. We derive a bound for this product analogous to the entropic uncertainty relations. For…

量子物理 · 物理学 2015-05-28 Łukasz Rudnicki , Paweł Horodecki , Karol Życzkowski

Mutually unbiased bases, mutually unbiased measurements and general symmetric informationally complete measurements are three related concepts in quantum information theory. We investigate multipartite systems using these notions and…

量子物理 · 物理学 2018-02-27 Lu Liu , Ting Gao , Fengli Yan

To determine whether a given multipartite quantum state is separable with respect to some partition we construct a family of entanglement measures R_m. This is done utilizing generalized concurrences as building blocks which are defined by…

量子物理 · 物理学 2010-08-06 Tsubasa Ichikawa , Marcus Huber , Philipp Krammer , Beatrix C. Hiesmayr

We solve stationarity equations of the geometric measure of entanglement for multi-qubit W-type states. In this way we compute analytically the maximal overlap of one-parameter $n$-qubit and two-parameter four-qubit W-type states and their…

量子物理 · 物理学 2015-05-13 Levon Tamaryan , Hungsoo Kim , Eylee Jung , Mi-Ra Hwang , DaeKil Park , Sayatnova Tamaryan

Consider a ring of N qubits in a translationally invariant quantum state. We ask to what extent each pair of nearest neighbors can be entangled. Under certain assumptions about the form of the state, we find a formula for the maximum…

量子物理 · 物理学 2009-11-06 Kevin M. O'Connor , William K. Wootters

A typical concept in quantum state analysis is based on the idea that states in the vicinity of some pure entangled state share the same properties; implying that states with a high fidelity must be entangled. States whose entanglement can…

量子物理 · 物理学 2021-04-12 Otfried Gühne , Yuanyuan Mao , Xiao-Dong Yu

Started from local universal isotropic disentanglement, a threshold inequality on reduction factors is proposed, which is necessary and sufficient for this type of disentanglement processes. Furthermore, we give the conditions realizing…

量子物理 · 物理学 2009-10-31 Zheng-Wei Zhou , Guang-Can Guo

We review the problem of discriminating entangled states from separable states for bipartite systems. We formally define what entangled states are, present some important criteria to detect entanglement, and show how they can be classified…

量子物理 · 物理学 2007-05-23 Aditi Sen De , Ujjwal Sen , Maciej Lewenstein , Anna Sanpera

We consider a class of entangled states of a quantum system (S) and a second system (A) where pure states of the former are correlated with mixed states of the latter, and work out the entanglement measure with reference to the nearest…

量子物理 · 物理学 2008-07-04 Avijit Lahiri , Gautam Ghosh , Sankhasubhra Nag

We examine the possible states of subsystems of a system of bits or qubits. In the classical case (bits), this means the possible marginal distributions of a probability distribution on a finite number of binary variables; we give necessary…

量子物理 · 物理学 2015-06-26 Paul Butterley , Anthony Sudbery , Jason Szulc
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