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The entanglement of superpositions [Phys. Rev. Lett. 97, 100502 (2006)] is generalized to the multipartite scenario: an upper bound to the multipartite entanglement of a superposition is given in terms of the entanglement of the superposed…

量子物理 · 物理学 2007-10-24 D. Cavalcanti , M. O. Terra Cunha , A. Acin

Given a bipartite quantum state (in arbitrary dimension) and a decomposition of it as a superposition of two others, we find bounds on the entanglement of the superposition state in terms of the entanglement of the states being superposed.…

量子物理 · 物理学 2009-11-11 Noah Linden , Sandu Popescu , John A. Smolin

A bipartite quantum state (for two systems in any dimensions) can be decomposed as a superposition of many components. For a superposition of more than two components we prove that there is a bound of the entanglement of the superposition…

量子物理 · 物理学 2009-11-13 Yang Xiang , Shi-Jie Xiong , Fang-Yu Hong

We derive the lower and upper bounds on the entanglement of a given multipartite superposition state in terms of the entanglement of the states being superposed. The first entanglement measure we use is the geometric measure, and the second…

量子物理 · 物理学 2007-11-24 Wei Song , Nai-Le Liu , Zeng-Bing Chen

We investigate the inseparability of states generated by superposition of a multipartite pure entangled state with a product state. In particular, we identify specific multipartite entangled states that will always produce inseparability…

量子物理 · 物理学 2025-09-08 Swati Choudhary , Ujjwal Sen , Saronath Halder

Entanglement characteristics of a pair coherent state is studied using entanglement of superposition. It is demonstrated only few states in the expansion of a pair coherent state, in a harmonic oscillator basis, contribute significantly to…

量子物理 · 物理学 2007-08-06 Jitesh R. Bhatt , Prasanta K. Panigrahi

The notion of a macroscopic quantum state must be pinned down in order to assess how well experiments probe the large-scale limits of quantum mechanics. However, the issue of quantifying so-called quantum macroscopicity is fraught with…

量子物理 · 物理学 2025-03-12 Benjamin Yadin , Matteo Fadel

Two quantum Macro-states and their Macroscopic Quantum Superpositions (MQS) localized in two far apart, space - like separated sites can be non-locally correlated by any entangled couple of single-particles having interacted in the past.…

量子物理 · 物理学 2010-02-11 Francesco De Martini

In this paper, we generalize the residual entanglement to the case of multipartite states in arbitrary dimensions by making use of a new method. Through the introduction of a special entanglement measure, the residual entanglement of mixed…

量子物理 · 物理学 2007-05-23 Chang-shui Yu , He-shan Song

Based on phase-space structures of quantum states, we propose a novel measure to quantify macroscopic quantum superpositions. Our measure simultaneously quantifies two different kinds of essential information for a given quantum state in a…

量子物理 · 物理学 2011-06-02 Chang-Woo Lee , Hyunseok Jeong

We find tight lower and upper bounds on the entanglement of a superposition of two bipartite states in terms of the entanglement of the two states constituting the superposition. Our upper bound is dramatically tighter than the one…

量子物理 · 物理学 2009-11-13 Gilad Gour

It is known that probabilistically mixing an arbitrary pair of pure quantum states, one of which is entangled and the other product, in any bipartite quantum system, one always obtains an entangled state, provided the entangled state of the…

量子物理 · 物理学 2023-04-25 Saronath Halder , Ujjwal Sen

We introduce the notion of maximally multipartite entangled states of n qubits as a generalization of the bipartite case. These pure states have a bipartite entanglement that does not depend on the bipartition and is maximal for all…

量子物理 · 物理学 2008-06-12 Paolo Facchi , Giuseppe Florio , Giorgio Parisi , Saverio Pascazio

Characterizing entanglement of systems composed of multiple particles is a very complex problem that is attracting increasing attention across different disciplines related to quantum physics. The task becomes even more complex when the…

量子物理 · 物理学 2026-02-12 Shuheng Liu , Qiongyi He , Marcus Huber , Giuseppe Vitagliano

We propose a technique to investigate multipartite entanglement in the symmetric subspace. Our approach is to map an $N$-qubit symmetric state onto a bipartite symmetric state of higher local dimension. We show that this mapping preserves…

量子物理 · 物理学 2025-10-07 Carlo Marconi , Satoya Imai

We propose a correlation of local observables on many sites in macroscopic quantum systems. By measuring the correlation one can detect, if any, superposition of macroscopically distinct states, which we call macroscopic entanglement, in…

量子物理 · 物理学 2016-10-24 Akira Shimizu , Tomoyuki Morimae

It is shown that the geometric measure of entanglement of a pure multipartite state satisfies a polynomial equation, generalising the characteristic equation of the matrix of coefficients of a bipartite state. The equation is solved for a…

量子物理 · 物理学 2010-07-06 Joseph J. Hilling , Anthony Sudbery

We investigate upper and lower bounds on the entropy of entanglement of a superposition of bipartite states as a function of the individual states in the superposition. In particular, we extend the results in [G. Gour, arxiv.org:0704.1521…

量子物理 · 物理学 2009-11-13 Gilad Gour , Aidan Roy

We develop criteria sufficient to enable detection of macroscopic coherence where there are not just two macroscopically distinct outcomes for a pointer measurement, but rather a spread of outcomes over a macroscopic range. The criteria…

量子物理 · 物理学 2007-05-23 E. G. Cavalcanti , M. D. Reid

We investigate entanglement properties of multipartite states under the influence of decoherence. We show that the lifetime of (distillable) entanglement for GHZ-type superposition states decreases with the size of the system, while for a…

量子物理 · 物理学 2016-08-16 M. Hein , W. Dür , H. -J. Briegel
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