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We show that for a convex function the following, rather modest conditions, are equivalent to monotonicity under local operations and classical communication. The conditions are: 1)invariance under local unitaries, 2) invariance under…

Quantum Physics · Physics 2007-05-23 Michal Horodecki

An experimental verification of the maximally entangled state ensures that the constructed state is close to the maximally entangled state, but it does not guarantee that the state is exactly the same as the maximally entangled state.…

Quantum Physics · Physics 2023-02-22 Hayato Arai , Masahito Hayashi

Quite recently, Cai et al. [arXiv:2006.07165v1] proposed a new concept "absolutely entangled set" for bipartite quantum systems: for any possible choice of global basis, at least one state of the set is entangled. There they presented a…

Quantum Physics · Physics 2020-11-11 Mao-Sheng Li , Man-Hong Yung

We investigate the decoherence of a spin 1/2 subsystem weakly coupled to an environment of many spins 1/2 with and without mutual coupling. The total system is closed, its state is pure and evolves under Schroedinger dynamics. Nevertheless,…

Quantum Physics · Physics 2009-11-11 Harry Schmidt , Guenter Mahler

By building on the work in Kuzmak & Tkachuk, "Preparation of quantum states of two spin-$\frac{1}{2}$ particles in the form of the Schmidt decomposition", Physics Letters A, {\bf 378}, pp1469-1474, which outlined the control of the degree…

Quantum Physics · Physics 2015-02-19 Roderick Vance

We study the entanglement properties of two-spin subsystems in spin-singlet states. The average entanglement between two spins is maximized in a single valence-bond (VB) state. On the other hand, $E_v^2$ (the average entanglement between a…

Quantum Physics · Physics 2014-12-19 M. Q. Lone , A. Dey , S. Yarlagadda

We introduce two entanglement conditions that take the form of inequalities involving expectation values of operators. These conditions are sufficient conditions for entanglement, that is if they are satisfied the state is entangled, but if…

Quantum Physics · Physics 2015-05-19 Mark Hillery , Ho Trung Dung , Hongjun Zheng

Spin-squeezing is a well-established "quantum technology", where well-designed correlations in an ensemble of two-level systems reduce the statistical uncertainty of spectroscopic experiments. This paper reviews some important advances in…

Quantum Gases · Physics 2022-03-31 Alice Sinatra

We present a full definition of mixed maximally entangled (MME) states for multipartite systems, generalizing their existing definition for bipartite systems by using multipartite Schmidt decomposition. MME states are a special kind of…

Quantum Physics · Physics 2022-04-01 Samuel R. Hedemann

Measurement-based quantum computation is different from other approaches for quantum computation, in that everything needs to be done is only local measurement on a certain entangled state. It thus uses entanglement as the resource that…

Quantum Physics · Physics 2021-09-22 Tzu-Chieh Wei

Generic forms of the entangled states of two spin-1 (and spin-3/2) particles, along with the set of appropriate spin observables that together exhibit maximum nonlocality under the Hardy's nonlocality test are given; the maximum nonlocality…

Quantum Physics · Physics 2015-08-25 Kaushik P. Seshadreesan , Sibasish Ghosh

We propose a strategy to generate a many-body entangled state in a collection of randomly placed, dipolarly coupled electronic spins in the solid state. By using coherent control to restrict the evolution into a suitable collective…

Quantum Physics · Physics 2009-09-12 Paola Cappellaro , Mikhail D. Lukin

Using the f-deformed oscillator formalism, we introduce two types of squeezed coherent states for a Morse potential system (Morse-like squeezed coherent states) through the following definitions: i) as approximate eigenstates of a linear…

Quantum Physics · Physics 2018-06-05 Octavio de los Santos Sánchez , José Récamier

In this paper we revisit the gravitational eikonal amplitudes of two scattering spinning particles and inspect their scrambling power in the spin spaces that is quantified through the tripartite information. We found that in the…

High Energy Physics - Theory · Physics 2023-03-07 Ling-Yan Hung , Kaixin Ji , Tianheng Wang

We simulate magnetic resonance force microscopy measurements of an entangled spin state. One of the entangled spins drives the resonant cantilever vibrations, while the other remote spin does not interact directly with the quasiclassical…

Quantum Physics · Physics 2009-11-07 G. P. Berman , F. Borgonovi , G. Chapline , P. C. Hammel , V. I. Tsifrinovich

Linear steering inequalities are useful to check whether a bipartite state is steerable when both the parties are allowed to perform $n$ dichotomic measurements on their parts. In the present study we propose the necessary and sufficient…

Quantum Physics · Physics 2019-08-27 Debarshi Das , Souradeep Sasmal , Arup Roy

We consider general locally-interacting arbitrary-dimensional lattice spin systems that are gapped for any system size. We show under reasonable conditions that nondegenerate ground states of such systems obey the entanglement area law. In…

Quantum Physics · Physics 2014-11-11 Jaeyoon Cho

For systems of two and three spins 1/2 it is known that the second moment of the Husimi function can be related to entanglement properties of the corresponding states. Here, we generalize this relation to an arbitrary number of spins in a…

Quantum Physics · Physics 2007-05-23 Stefan Schenk , Gert-Ludwig Ingold

The quantum entanglement $E$ of a bipartite quantum Ising chain is compared with the mutual information $I$ between the two parts after a local measurement of the classical spin configuration. As the model is conformally invariant, the…

Statistical Mechanics · Physics 2015-06-11 Jaegon Um , Hyunggyu Park , Haye Hinrichsen

Entanglement speeds up evolution of a pure bipartite spin state, in line with the time energy uncertainty. However if the state is mixed this is not necessarily the case. We provide a counter example and point to other factors affecting…

Quantum Physics · Physics 2009-11-13 Judy Kupferman , Benni Reznik