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The study of Entanglement of Formation of a mixed state of a bipartite system in high-dimensional Hilbert space is not easy in general. So, we focus on determining the amount of entanglement for a bipartite mixed state based on the concept…

量子物理 · 物理学 2009-11-13 M. A. Jafarizadeh , M. Mahdian

We address the presence of non-distillable (bound) entanglement in natural many-body systems. In particular, we consider standard harmonic and spin-1/2 chains, at thermal equilibrium and characterized by few interaction parameters. The…

量子物理 · 物理学 2009-11-13 D. Cavalcanti , A. Ferraro , A. Garcia-Saez , A. Acin

We investigate genuine multipartite entanglement in general multipartite systems. Based on the norms of the correlation tensors of a multipartite state under various partitions, we present an analytical sufficient criterion for detecting…

量子物理 · 物理学 2020-06-09 Jing Yun Zhao , Hui Zhao , Naihuan Jing , Shao-Ming Fei

An approximate quantum-mechanical two-body equation for spinless particles incorporating relativistic kinematics is derived. The derivation is based on the relativistic energy-momentum relation $mc^{2}+\epsilon =…

量子物理 · 物理学 2015-08-11 K. -E. Thylwe , S. Belov

We consider a very natural generalization of quantum theory by letting the dimension of the Bloch ball be not necessarily three. We analyze bipartite state spaces where each of the components has a d-dimensional Euclidean ball as state…

量子物理 · 物理学 2014-12-24 Lluis Masanes , Markus P. Mueller , David Perez-Garcia , Remigiusz Augusiak

We consider a variant of the entanglement of assistance, as independently introduced by D.P. DiVincenzo {\em et al.} ({\tt quant-ph/9803033}) and O. Cohen (Phys. Rev. Lett. {\bf 80}, 2493 (1998)). Instead of considering three-party states…

量子物理 · 物理学 2016-09-08 T. Laustsen , F. Verstraete , S. J. van Enk

We study entanglement in Valence-Bond-Solid state. It describes the ground state of Affleck, Kennedy, Lieb and Tasaki quantum spin chain. The AKLT model has a gap and open boundary conditions. We calculate an entropy of a subsystem…

量子物理 · 物理学 2009-11-10 Heng Fan , Vladimir Korepin , Vwani Roychowdhury

We make a critical comparison of relativistic and non-relativistic classical and quantum mechanics of particles in inertial frames and of the open problems in particle localization at the two levels. The solution of the problems of the…

量子物理 · 物理学 2015-06-16 Horace W. Crater , Luca Lusanna

Generic quantum states in the Hilbert space of a many body system are nearly maximally entangled whereas low energy physical states are not; the so-called area laws for quantum entanglement are widespread. In this paper we introduce the…

量子物理 · 物理学 2015-06-05 Paolo Zanardi , Lorenzo Campos Venuti

The spin-1/2 Heisenberg model on an anisotropic triangular lattice is considered in the mean-field RVB approximation. The analytical estimates for the critical temperatures of the longitudinal s-RVB state (the upper one) and the 2D s-RVB…

强关联电子 · 物理学 2010-08-30 A. L. Tchougréeff , R. Dronskowski

We show that not all 4-party pure states are GHZ reducible (i.e., can be generated reversibly from a combination of 2-, 3- and 4-party maximally entangled states by local quantum operations and classical communication asymptotically)…

量子物理 · 物理学 2009-11-06 Shengjun Wu , Yongde Zhang

We show that, in a multi-party setting, two non-distillable (bound-entangled) states tensored together can make a distillable state. This is an example of true superadditivity of distillable entanglement. We also show that unlockable…

量子物理 · 物理学 2007-05-23 Peter W. Shor , John A. Smolin , Ashish V. Thapliyal

While the scaling of entanglement in a quantum system can be used to distinguish many-body quantum phases, it is usually hard to quantify the amount of entanglement in mixed states of open quantum systems, while measuring entanglement…

Computing the entanglement of formation of a bipartite state is generally difficult, but special symmetries of a state can simplify the problem. For instance, this allows one to determine the entanglement of formation of Werner states and…

量子物理 · 物理学 2007-05-23 Kiran K. Manne , Carlton M. Caves

In this work, a long-range resonating valence bond state is proposed as a variational wave function for the ground state of the $S=1/2$ antiferromagnetic Heisenberg model on the honeycomb lattice. Employing Variational Monte Carlo (VMC)…

强关联电子 · 物理学 2009-05-06 Zahra Nourbakhsh , Farhad Shahbazi , S. A. Jafari , G. Baskaran

The entanglement properties of the phase transition in a two dimensional harmonic lattice, similar to the one observed in recent ion trap experiments, are discussed both, for finite number of particles and thermodynamical limit. We show…

量子物理 · 物理学 2015-05-13 Elisabeth Rieper , Janet Anders , Vlatko Vedral

We propose and study an SU(3) trimer resonating-valence-bond (tRVB) state with $C_{4v}$ point-group symmetry on the square lattice. By devising a projected entangled-pair state representation, we show that all (connected) correlation…

强关联电子 · 物理学 2018-11-20 Xiao-Yu Dong , Ji-Yao Chen , Hong-Hao Tu

Continuous variables multipartite entanglement is a key resource for quantum technologies. This works considers the multipartite entanglement generated in separated spatial modes of the same light beam by three different parametric sources:…

量子物理 · 物理学 2021-12-08 Alessandra Gatti

We investigate the particle trapping and scattering properties in a tight-binding network which consists of several subgraphs. The particle trapping condition is proved under which particles can be trapped in a subgraph without leaking.…

量子物理 · 物理学 2010-05-20 L. Jin , Z. Song

We exhibit an orthogonal set of product states of two three-state particles that nevertheless cannot be reliably distinguished by a pair of separated observers ignorant of which of the states has been presented to them, even if the…