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We introduce a method for analyzing ground state properties of quantum many body systems, based on the characterization of separability and entanglement by single subsystem unitary operations. We apply the method to the study of the ground…

Quantum Physics · Physics 2008-01-19 S. M. Giampaolo , F. Illuminati , P. Verrucchi , S. De Siena

Consider a ring of N qubits in a translationally invariant quantum state. We ask to what extent each pair of nearest neighbors can be entangled. Under certain assumptions about the form of the state, we find a formula for the maximum…

Quantum Physics · Physics 2009-11-06 Kevin M. O'Connor , William K. Wootters

One-dimensional spin-1/2 systems are well-known candidates to study the quantum correlations between particles. In the condensed matter physics, studies often are restricted to the 1st neighbor particles. In this work, we consider the 1D…

Strongly Correlated Electrons · Physics 2017-11-08 Salimeh Mahdavifar , Saeed Mahdavifar , R. Jafari

When two or more subsystems of a quantum system interact with each other they can become entangled. In this case the individual subsystems can no longer be described as pure quantum states. For systems with only 2 subsystems this…

Quantum Physics · Physics 2007-05-23 Rachel Parker , Chris Doran

We calculate the half-chain entanglement entropy of the ground state in the one-dimensional spinless fermion model. Considering a tiny corner of the Hilbert space represented by matrix product states, we efficiently find the ground state by…

Strongly Correlated Electrons · Physics 2017-02-01 Myung-Hoon Chung

Localized electronic and nuclear spin qubits in the solid state constitute a promising platform for storage and manipulation of quantum information, even at room temperature. However, the development of scalable systems requires the ability…

Quantum Physics · Physics 2021-06-30 Emma Rosenfeld , Ralf Riedinger , Jan Gieseler , Martin Schuetz , Mikhail D. Lukin

The numerical simulation of quantum many-body dynamics is typically limited by the linear growth of entanglement with time. Recently numerical studies have shown, however, that for 1D Bethe-integrable models the simulation of local…

Quantum Physics · Physics 2011-04-21 Dominik Muth , Razmik G. Unanyan , Michael Fleischhauer

We present a proposal for the realization of entanglement Hamiltonians in one-dimensional critical spin systems with strongly interacting cold atoms. Our approach is based on the notion that the entanglement spectrum of such systems can be…

Quantum Gases · Physics 2021-02-10 R. E. Barfknecht , T. Mendes-Santos , L. Fallani

Multipartite entanglement is an essential resource for quantum information tasks, but characterizing entanglement structures in continuous variable systems remains challenging, especially in multimode non-Gaussian scenarios. In this work,…

Quantum Physics · Physics 2025-11-03 Mingsheng Tian , Xiaoting Gao , Boxuan Jing , Feng-Xiao Sun , Matteo Fadel , Manuel Gessner , Qiongyi He

We study some general properties of coupled quantum systems. We consider simple interactions between two copies of identical Hamiltonians such as the SYK model, Pauli spin chains with random magnetic field and harmonic oscillators. Such…

High Energy Physics - Theory · Physics 2021-03-10 Fabien Alet , Masanori Hanada , Antal Jevicki , Cheng Peng

The stability of two entangled spins dressed by electrons is studied by calculating the scattering phase shifts. The interaction between electrons is interpreted by fully relativistic QED and the screening effect is described…

Quantum Physics · Physics 2007-09-05 Hai-Jhun Wanng , W. T. Geng

Spin-entanglement of two electrons occupying two spatial regions -- domains -- is expressed in a compact form in terms of spin-spin correlation functions. The power of the formalism is demonstrated on several examples ranging from…

Mesoscale and Nanoscale Physics · Physics 2009-04-10 A. Ramsak , J. Mravlje , T. Rejec

Detailed analysis of behavior of spin-entangled particle pairs under arbitrary rotations in their Hilbert space has been performed. It shows a rich range of varieties (faces) of entanglement in different bases. Analytic criteria are…

Quantum Physics · Physics 2019-01-03 Moses Fayngold

We introduce new representations to formulate quantum mechanics on noncommutative phase space, in which both coordinate-coordinate and momentum-momentum are noncommutative. These representations explicitly display entanglement properties…

Mathematical Physics · Physics 2009-04-03 Si-Cong Jing , Bing-Sheng Lin

To address the outstanding task of detecting entanglement in large quantum systems, entanglement witnesses have emerged, addressing the separable nature of a state. Yet optimizing witnesses, or accessing them experimentally, often remains a…

The preparation of entangled quantum states is an inherent and indispensable step for the implementation of many quantum information algorithms. Depending on the physical system, there are different ways to control and measure them, which…

Quantum Physics · Physics 2023-07-06 A. R. Kuzmak

Though the no-cloning theorem [1] prohibits exact replication of arbitrary quantum states, there are many instances in quantum information processing and entanglement measurement in which a weaker form of cloning may be useful. Here, I…

Strongly Correlated Electrons · Physics 2016-10-19 Timothy H. Hsieh

The familiar Greenberger-Horne-Zeilinger (GHZ) states can be rewritten by entangling the Bell states for two qubits with a state of the third qubit, which is dubbed entangled entanglement. We show that in this way we obtain all 8…

Quantum Physics · Physics 2015-10-06 Gabriele Uchida , Reinhold A. Bertlmann , Beatrix C. Hiesmayr

'Tis said, to know others is to be learned, to know oneself, wise - I demonstrate that it could be more fundamental than knowing the rest of nature, by applying classical computational principles and engineering hindsight to derive and…

Quantum Physics · Physics 2007-05-23 V. Guruprasad

We investigate the entanglement between the spins of two quantum dots that are not connected at once to the same system. Quantum entanglement between localized spins is an essential property for the development of quantum computing and…

Strongly Correlated Electrons · Physics 2023-03-31 C. A. Büsser