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We study properties of entangled systems in the (mainly non-relativistic) second quantization formalism. This is then applied to interacting and non-interacting bosons and fermions and the differences between the two are discussed. We…

Quantum Physics · Physics 2009-11-10 V. Vedral

Quantum entanglement is the quantum information processing resource. Thus it is of importance to understand how much of entanglement particular quantum states have, and what kinds of laws entanglement and also transformation between…

Quantum Physics · Physics 2007-05-23 Toshiyuki Shimono

We consider a sequence of quantum states, $\rho_N$, associated with a submanifold $\Lambda$ of product of two integral compact K\"ahler manifolds. We show that, when $\Lambda$ is a product submanifold, then, in the semiclassical limit,…

Differential Geometry · Mathematics 2022-06-10 Tatyana Barron , Noah Wheatley

Nonlocality and entanglement are not only the fundamental characteristics of quantum mechanics but also important resources for quantum information and computation applications. Exploiting the quantitative relationship between the two…

Quantum Physics · Physics 2020-04-20 Zhaofeng Su , Haisheng Tan , Xiangyang Li

Entanglement is the basic building block of linear optical quantum computation, and as such understanding how to generate it in detail is of great importance for optical architectures. We prove that Bell states cannot be generated using…

Quantum Physics · Physics 2017-11-01 Stasja Stanisic , Noah Linden , Ashley Montanaro , Peter S. Turner

We propose that the entanglement of mixed states is characterised properly in terms of a probability density function $\mathcal{P}_{\rho}(\mathcal{E})$. There is a need for such a measure since the prevalent measures (such as…

Quantum Physics · Physics 2009-11-13 Shanthanu Bhardwaj , V. Ravishankar

We study the entanglement R\'{e}nyi $\alpha$-entropy (ER$\alpha $E) as the measure of entanglement. Instead of a single quantity in standard entanglement quantification for a quantum state by using the von Neumann entropy for the…

Quantum Physics · Physics 2016-02-24 Yu-Xin Wang , Liang-Zhu Mu , Vlatko Vedral , Heng Fan

We propose a review of recent developments on entanglement and non-classical effects in collective two-atom systems and present a uniform physical picture of the many predicted phenomena. The collective effects have brought into sharp focus…

Quantum Physics · Physics 2009-11-10 Z. Ficek , R. Tanas

Entangled state, as an essential tool in quantum information processing, may be generated through the interaction between light and matter in cavity quantum electrodynamics. In this paper, we study the interaction between two two-level…

Quantum Physics · Physics 2015-08-20 H. R. Baghshahi , M. K. Tavassoly , M. J. Faghihi

We provide a class of inequalities whose violation shows the presence of entanglement in two-mode systems. We initially consider observables that are quadratic in the mode creation and annihilation operators and find conditions under which…

Quantum Physics · Physics 2009-11-11 Mark Hillery , M. Suhail Zubairy

When a two-qubit system is initially maximally-entangled, two independent decoherence channels, one per qubit, would greatly reduce the entanglement of the two-qubit system when it reaches its stationary state. We propose a method on how to…

Quantum Physics · Physics 2009-09-30 Jing Zhang , Yu-xi Liu , Chun-Wen Li , Tzyh-Jong Tarn , Franco Nori

The work is intended to represent some interesting and apparently peculiar features of entangled system in both pure as well as mixed states level. In the pure state level, we are largely concerned about the existence and characteristics of…

Quantum Physics · Physics 2008-05-15 Indrani Chattopadhyay

In this work, we present new connections between three types of quantum states: positive under partial transpose states, symmetric with positive coefficients states and invariant under realignment states. First, we obtain a common upper…

Quantum Physics · Physics 2025-02-11 Daniel Cariello

We build, using group-theoretic methods, a general framework for approaching multi-particle entanglement. As far as entanglement is concerned, two states of n spin-1/2 particles are equivalent if they are on the same orbit of the group of…

Quantum Physics · Physics 2016-10-26 N Linden , S Popescu

We investigate multipartite entanglement in relation to the theoretical process of quantum state exchange. In particular, we consider such entanglement for a certain pure state involving two groups of N trapped atoms. The state, which can…

Quantum Physics · Physics 2009-11-07 D. T. Pope , G. J. Milburn

We consider the coupling of quantum fields to classical gravity in the formalism of ensembles on configuration space, a model that allows a consistent formulation of interacting classical and quantum systems. Explicit calculations show that…

General Relativity and Quantum Cosmology · Physics 2018-09-19 Marcel Reginatto , Michael J. W. Hall

Entanglement within qubits are studied for the subspace of definite particle states or definite number of up spins. A transition from an algebraic decay of entanglement within two qubits with the total number $N$ of qubits, to an…

Quantum Physics · Physics 2012-02-20 Vikram S Vijayaraghavan , Udaysinh T. Bhosale , Arul Lakshminarayan

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…

Quantum Physics · Physics 2019-01-04 Satyabrata Adhikari

We study entanglement in mixed bipartite quantum states which are invariant under simultaneous SU(2) transformations in both subsystems. Previous results on the behavior of such states under partial transposition are substantially extended.…

Quantum Physics · Physics 2007-05-23 John Schliemann

Entanglement negativity is a measure of mixed-state entanglement increasingly used to investigate and characterize emerging quantum many-body phenomena, including quantum criticality and topological order. We present two results for the…

Quantum Physics · Physics 2015-06-18 Huan He , Guifre Vidal