Quantifying Electron Entanglement Faithfully

• URL: http://arxiv.org/abs/2207.03377v1
• Date: Thu, 7 Jul 2022 15:32:12 GMT
• Title: Quantifying Electron Entanglement Faithfully
• Authors: Lexin Ding, Zoltan Zimboras, Christian Schilling
• Abstract summary: Entanglement is one of the most fascinating concepts of modern physics. We derive a formula for the relative entropy of entanglement between electron orbitals. Its broad applicability in the quantum sciences is demonstrated.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Entanglement is one of the most fascinating concepts of modern physics. In striking contrast to its abstract, mathematical foundation, its practical side is, however, remarkably underdeveloped. Even for systems of just two orbitals or sites no faithful entanglement measure is known yet. By exploiting the spin symmetries of realistic many-electron systems, we succeed in deriving a closed formula for the relative entropy of entanglement between electron orbitals. Its broad applicability in the quantum sciences is demonstrated: (i) in light of the second quantum revolution, it quantifies the true physical entanglement by incorporating the crucial fermionic superselection rule (ii) an analytic description of the long-distance entanglement in free electron chains is found, refining Kohn's locality principle (iii) the bond-order wave phase in the extended Hubbard model can be confirmed, and (iv) the quantum complexity of common molecular bonding structures could be marginalized through orbital transformations, thus rationalizing zero-seniority wave function ansatzes.

Related papers

• Phonon Dephasing, Entanglement and Exchange-Only Toffoli Gate Sequence in Quantum Dot Spin Chains [0.0]
  Quantum dot spin chain system is vital for quantum simulation and studying collective electron behaviors. Chapter 1 introduces key concepts, focusing on the extended Hubbard model, double quantum dot systems, and electron-phonon coupling. Chapter 3 investigates entanglement entropy in a multielectron quantum dot spin chain described by the extended Hubbard model. Chapter 4 explores operation sequences in a nine-spin, nine-quantum-dot system defined by the Heisenberg model.
  arXiv  Detail & Related papers  (2024-09-23T06:26:08Z)
• A Cooper-pair beam splitter as a feasible source of entangled electrons [0.0]
  We investigate the generation of an entangled electron pair emerging from a system composed of two quantum dots attached to a superconductor Cooper pair beam splitter. We take into account three processes: Crossed Andreev Reflection, cotuneling, and Coulomb interaction. Several entanglement quantifiers, including quantum mutual information, negativity, and concurrence, are employed to validate our findings.
  arXiv  Detail & Related papers  (2024-01-29T18:46:53Z)
• Physical Entanglement Between Localized Orbitals [1.3812010983144802]
  In [arXiv:2207.03377] the first closed formula of a faithful entanglement measure applicable to realistic electron systems has been derived. We build on this key achievement with the ultimate goal of guiding the development of quantum technologies.
  arXiv  Detail & Related papers  (2023-03-24T17:32:06Z)
• Schr\"odinger cat states of a 16-microgram mechanical oscillator [54.35850218188371]
  The superposition principle is one of the most fundamental principles of quantum mechanics. Here we demonstrate the preparation of a mechanical resonator with an effective mass of 16.2 micrograms in Schr"odinger cat states of motion. We show control over the size and phase of the superposition and investigate the decoherence dynamics of these states.
  arXiv  Detail & Related papers  (2022-11-01T13:29:44Z)
• Formation of robust bound states of interacting microwave photons [148.37607455646454]
  One of the hallmarks of interacting systems is the formation of multi-particle bound states. We develop a high fidelity parameterizable fSim gate that implements the periodic quantum circuit of the spin-1/2 XXZ model. By placing microwave photons in adjacent qubit sites, we study the propagation of these excitations and observe their bound nature for up to 5 photons.
  arXiv  Detail & Related papers  (2022-06-10T17:52:29Z)
• Quantum Entanglement of Non-Hermitian Quasicrystals [7.371841894852217]
  We present a class of experimentally realizable models for non-Hermitian quasicrystal chains. We numerically determine the metal-insulator transition point. Inspired by entanglement spectrum, we further analytically prove that a duality exists between the two phase regions.
  arXiv  Detail & Related papers  (2021-12-26T16:17:04Z)
• Classical and Quantum Orbital Correlations in the Molecular Electronic States [0.0]
  We decompose the pairwise orbital correlations into their classical and quantum parts in the presence of superselection rules. quantum orbital correlations can be stronger than classical orbital correlations though not often. orbital entanglement would be underestimated if the orbital density matrices were treated as qubit states.
  arXiv  Detail & Related papers  (2021-07-29T14:09:53Z)
• Relativistic aspects of orbital and magnetic anisotropies in the chemical bonding and structure of lanthanide molecules [60.17174832243075]
  We study the electronic and ro-vibrational states of heavy homonuclear lanthanide Er2 and Tm2 molecules by applying state-of-the-art relativistic methods. We were able to obtain reliable spin-orbit and correlation-induced splittings between the 91 Er2 and 36 Tm2 electronic potentials dissociating to two ground-state atoms.
  arXiv  Detail & Related papers  (2021-07-06T15:34:00Z)
• Quantum chaos driven by long-range waveguide-mediated interactions [125.99533416395765]
  We study theoretically quantum states of a pair of photons interacting with a finite periodic array of two-level atoms in a waveguide. Our calculation reveals two-polariton eigenstates that have a highly irregular wave-function in real space.
  arXiv  Detail & Related papers  (2020-11-24T07:06:36Z)
• Quantum Hall phase emerging in an array of atoms interacting with photons [101.18253437732933]
  Topological quantum phases underpin many concepts of modern physics. Here, we reveal that the quantum Hall phase with topological edge states, spectral Landau levels and Hofstadter butterfly can emerge in a simple quantum system. Such systems, arrays of two-level atoms (qubits) coupled to light being described by the classical Dicke model, have recently been realized in experiments with cold atoms and superconducting qubits.
  arXiv  Detail & Related papers  (2020-03-18T14:56:39Z)
• Quantum decoherence by Coulomb interaction [58.720142291102135]
  We present an experimental study of the Coulomb-induced decoherence of free electrons in a superposition state in a biprism electron interferometer close to a semiconducting and metallic surface. The results will enable the determination and minimization of specific decoherence channels in the design of novel quantum instruments.
  arXiv  Detail & Related papers  (2020-01-17T04:11:44Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.