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In quantum chemistry calculations, the correlation energy is defined as the difference between the Hartree-Fock limit energy and the exact solution of the nonrelativistic Schrodinger equation. With this definition, the electron correlation…

量子物理 · 物理学 2009-11-11 Zhen Huang , Sabre Kais

Our goal is to clarify the relation between entanglement and correlation energy in a bipartite system with infinite dimensional Hilbert space. To this aim we consider the completely solvable Moshinsky's model of two linearly coupled…

量子物理 · 物理学 2010-04-19 L. Martina , G. Ruggeri , G. Soliani

Quantum entanglement is a concept commonly used with reference to the existence of certain correlations in quantum systems that have no classical interpretation. It is a useful resource to enhance the mutual information of memory channels…

量子物理 · 物理学 2009-11-13 Tina A. C. Maiolo , Fabio Della Sala , Luigi Martina , Giulio Soliani

Typically in many-body systems the correlation energy, which is defined as the difference between the exact ground state energy and the mean-field solution, has been a measure of the system's total correlations. However, under the quantum…

量子物理 · 物理学 2021-10-04 Javier Faba , Vicente Martín , Luis Robledo

Electron-electron correlation forms the basis of difficulties encountered in many-body problems. Accurate treatment of the correlation problem is likely to unravel some nice physical properties of matter embedded in this correlation. In an…

量子物理 · 物理学 2022-03-24 Eric Ouma Jobunga

Quantum information theory has considerably helped in the understanding of quantum many-body systems. The role of quantum correlations and in particular, bipartite entanglement, has become crucial to characterise, classify and simulate…

量子物理 · 物理学 2018-07-27 Gabriele De Chiara , Anna Sanpera

Correlation function and mutual information are two powerful tools to characterize the correlations in a quantum state of a composite system, widely used in many-body physics and in quantum information science, respectively. We find that…

量子物理 · 物理学 2015-05-19 R. X. Dong , D. L. Zhou

Quantum correlations are at the core of quantum mechanics and play a crucial role in various fields. While bipartite quantum correlations have been extensively studied, multipartite quantum correlations in many-body systems remain elusive…

量子物理 · 物理学 2026-02-05 Toshihiro Yada , Nobuyuki Yoshioka , Takahiro Sagawa

We introduce a well-defined and unbiased measure of the strength of correlations in quantum many-particle systems which is based on the relative von Neumann entropy computed from the density operator of correlated and uncorrelated states.…

强关联电子 · 物理学 2015-05-30 K. Byczuk , J. Kunes , W. Hofstetter , D. Vollhardt

Information and correlations in a quantum system are closely related through the process of measurement. We explore such relation in a many-body quantum setting, effectively bridging between quantum metrology and condensed matter physics.…

量子物理 · 物理学 2012-06-20 Luigi Amico , Davide Rossini , Alioscia Hamma , Vladimir E. Korepin

What correlations are present in the ground state of a many-body Hamiltonian? We study the relationship between ground-state correlations, especially entanglement, and the energy gap between the ground and first excited states. We prove…

量子物理 · 物理学 2009-11-10 Henry L. Haselgrove , Michael A. Nielsen , Tobias J. Osborne

Both coherence and entanglement stem from the superposition principle, capture quantumness of a physical system, and play a central role in quantum physics. In a multipartite quantum system, coherence and quantum correlations are closely…

量子物理 · 物理学 2018-08-08 Sunho Kim , Longsuo Li , Asutosh Kumar , Junde Wu

The present article proposes a measure of correlation for multiqubit mixed states. The measure is defined recursively, accumulating the correlation of the subspaces, making it simple to calculate without using of regression. Unlike usual…

In recent years, it has been recognized that properties of multipartite physical systems, such as genuine multipartite entanglement, can be considered as important resources for quantum information and other areas of physics. However, the…

量子物理 · 物理学 2025-10-13 Taotao Yan , Jinchuan Hou , Xiaofei Qi , Kan He

We derive a classification and a measure of classical- and quantum-correlation of multipartite qubit, qutrit, and in general, $n$-level systems, in terms of SU$(n)$ representations of density matrices. We compare the measure for the case of…

量子物理 · 物理学 2010-10-26 Y. B. Band , I. Osherov

Identifying which correlations among distant observers are possible within our current description of Nature, based on quantum mechanics, is a fundamental problem in Physics. Recently, information concepts have been proposed as the key…

量子物理 · 物理学 2012-01-16 Rodrigo Gallego , Lars Erik Würflinger , Antonio Acín , Miguel Navascués

We study the relation between quantum entanglement and electron correlation in quantum chemistry calculations. We prove that the Hartree-Fock (HF) wave function does not violate Bell's inequality, thus is not entangled while the…

量子物理 · 物理学 2007-06-25 Hefeng Wang , Sabre Kais

The relation between the correlation energy and the entanglement is analytically constructed for the Moshinsky's model of two coupled harmonic oscillators. It turns out that the two quantities are far to be proportional, even at very small…

量子物理 · 物理学 2007-05-23 Luigi Martina , Giulio Soliani

The production and manipulation of quantum correlation protocols will play a central role where the quantum nature of the correlation can be used as a resource to yield properties unachievable within a classical framework is a very active…

量子物理 · 物理学 2022-03-09 Simon J. D Phoenix , Faisal Shah Khan , Berihu Teklu

Electron correlation effects are essential for an accurate ab initio description of molecules. A quantitative a priori knowledge of the single- or multi-reference nature of electronic structures as well as of the dominant contributions to…

量子物理 · 物理学 2012-12-18 Katharina Boguslawski , Paweł Tecmer , Örs Legeza , Markus Reiher
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