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For a generic conformal field theory (CFT) in four dimensions, the scale anomaly dictates that the universal part of entanglement entropy across a sphere ($\mathcal{C}_{\text{univ}}(S^{2})$) is positive. Based on this fact, we explore the…

High Energy Physics - Theory · Physics 2016-12-28 Ali Naseh

We generalize a new approach to entanglement conditions for light of undefined photons numbers given in [Phys. Rev. A {\bf 95}, 042113 (2017)] for polarization correlations to a broader family of interferometric phenomena. Integrated optics…

Quantum Physics · Physics 2018-03-02 Junghee Ryu , Marcin Marciniak , Marcin Wieśniak , Marek Żukowski

Directed cographs (di-cographs) play a crucial role in the reconstruction of evolutionary histories of genes based on homology relations which are binary relations between genes. A variety of methods based on pairwise sequence comparisons…

Discrete Mathematics · Computer Science 2018-05-04 Nikolai Nøjgaard , Nadia El-Mabrouk , Daniel Merkle , Nikolas Wieseke , Marc Hellmuth

We advance and experimentally implement a protocol to generate perfect optical coherence lattices (OCL) that are not modulated by an envelope field. Structuring the amplitude and phase of an input partially coherent beam in a Fourier plane…

To this day, von Neumann definition of entropy remains the most popular measure of quantum entanglement. Much of the literature on entanglement entropy, particularly in the context of field theory, has focused on isolating the UV…

Quantum Physics · Physics 2019-02-27 S. Mahesh Chandran , S. Shankaranarayanan

Recently, two-photon six-qubit hyperentangled states were produced in experiment and they can improve the channel capacity of quantum communication largely. Here we present a scheme for the hyperentanglement purification of nonlocal…

Quantum Physics · Physics 2016-09-21 Guan-Yu Wang , Qian Liu , Fu-Guo Deng

Using holography, we study the entanglement entropy of strongly coupled field theories perturbed by operators that trigger an RG flow from a conformal field theory in the ultraviolet (UV) to a new theory in the infrared (IR). The…

High Energy Physics - Theory · Physics 2012-02-28 Tameem Albash , Clifford V. Johnson

Theories of classification distinguish classes with some good structure theorem from those for which none is possible. Some classes (dense linear orders, for instance) are non-classifiable in general, but are classifiable when we consider…

Logic · Mathematics 2007-05-23 Wesley Calvert

In this paper we review the AdS/BCFT proposal of T. Takayanagi for holographic description of systems with boundaries, in particular, boundary conformal field theories (BCFTs). Motivated by better understanding of the proposed duality we…

High Energy Physics - Theory · Physics 2019-12-11 Arthur G. Cavalcanti , Dmitry Melnikov , Madson R. O. Silva

The classification of electron systems according to their topology has been at the forefront of condensed matter research in recent years. It has been found that systems of the same symmetry, previously thought of as equivalent, may in fact…

Strongly Correlated Electrons · Physics 2015-01-09 Jan Borchmann , Aaron Farrell , Shunji Matsuura , T. Pereg-Barnea

We study systems of two identical dipolar particles confined in quasi one-dimensional harmonic traps. Numerical results for the dependencies of the entanglement on the control parameters of the systems are provided and discussed in detail.…

Quantum Physics · Physics 2020-01-07 Przemyslaw Koscik

In a recent paper, arXiv:1309.4877, a holographic p-wave model has been proposed in an Einstein-Maxwell-complex vector field theory with a negative cosmological constant. The model exhibits rich phase structure depending on the mass and the…

High Energy Physics - Theory · Physics 2015-02-25 Li-Fang Li , Rong-Gen Cai , Li Li , Chao Shen

Transforming an asymmetric system into a symmetric system makes it possible to exploit the simplifying properties of symmetry in control problems. We define and characterize the family of symmetrizable systems, which can be transformed into…

Optimization and Control · Mathematics 2025-04-10 Hamed Taghavian , Jens Sjölund

Calculations of the entanglement entropy of a spatial region in continuum quantum field theory require boundary conditions on the fields at the fictitious boundary of the region. These boundary conditions impact the treatment of the zero…

High Energy Physics - Theory · Physics 2016-12-28 Ben Michel , Mark Srednicki

We describe spontaneous parametric down-conversion experiments in which induced coherence across two coupled interferometers results in high-visibility single-photon interference. Opening additional photon channels allows "which-path"…

Quantum Physics · Physics 2015-03-05 A. Heuer , R. Menzel , P. W. Milonni

For states of quantum systems of $N$ particles with harmonic interactions we prove that each reduced density matrix $\rho$ obeys a duality condition. This condition implies duality relations for the eigenvalues $\lambda_k$ of $\rho$ and…

Quantum Physics · Physics 2014-11-04 Christian Schilling , Rolf Schilling

We study a means of creating multiparticle entanglement of neutral atoms using pairwise controlled dipole-dipole interactions in a three dimensional optical lattice. For tightly trapped atoms the dipolar interaction energy can be much…

Quantum Physics · Physics 2009-10-31 G. K. Brennen , I. H. Deutsch , P. S. Jessen

The light produced by parametric down-conversion shows strong spatial entanglement that leads to violations of EPR criteria for separability. Historically, such studies have been performed by scanning a single-element, single-photon…

Nonlinear optical generation from a crystalline material can reveal the symmetries of both its lattice structure and underlying ordered electronic phases and can therefore be exploited as a complementary technique to diffraction based…

Strongly Correlated Electrons · Physics 2014-11-04 D. H. Torchinsky , H. Chu , T. Qi , G. Cao , D. Hsieh

Coherent control of wave transmission and reflection is crucial for applications in communication, imaging, and sensing. However, many practical scenarios involve partially coherent waves rather than fully coherent ones. We present a…

Optics · Physics 2024-08-13 Cheng Guo , Shanhui Fan