Related papers: Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories

Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories

URL: http://arxiv.org/abs/2009.11881v2
Date: Thu, 18 Mar 2021 04:33:04 GMT
Title: Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories
Authors: Hugo A. Camargo, Lucas Hackl, Michal P. Heller, Alexander Jahn, Tadashi Takayanagi, Bennet Windt
Abstract summary: We find pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace. We analyze these quantities for two intervals in the vacuum of free bosonic and Ising conformal field theories.
Score: 55.53519491066413
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Finding pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace is necessarily a challenging task. Nevertheless, such purifications play the key role in characterizing quantum information-theoretic properties of mixed states via entanglement and complexity of purifications. In this article, we analyze these quantities for two intervals in the vacuum of free bosonic and Ising conformal field theories using, for the first time, the~most general Gaussian purifications. We provide a comprehensive comparison with existing results and identify universal properties. We further discuss important subtleties in our setup: the massless limit of the free bosonic theory and the corresponding behaviour of the mutual information, as well as the Hilbert space structure under the Jordan-Wigner mapping in the spin chain model of the Ising conformal field theory.

Related papers

Gaussian Entanglement Measure: Applications to Multipartite Entanglement of Graph States and Bosonic Field Theory [50.24983453990065]
An entanglement measure based on the Fubini-Study metric has been recently introduced by Cocchiarella and co-workers. We present the Gaussian Entanglement Measure (GEM), a generalization of geometric entanglement measure for multimode Gaussian states. By providing a computable multipartite entanglement measure for systems with a large number of degrees of freedom, we show that our definition can be used to obtain insights into a free bosonic field theory.
arXiv Detail & Related papers (2024-01-31T15:50:50Z)
Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue [68.8204255655161]
We study the phenomenon of cosmological particle production of Dirac fermions in a Friedman-Robertson-Walker spacetime. We present a scheme for the quantum simulation of this gravitational analogue by means of ultra-cold atoms in Raman optical lattices.
arXiv Detail & Related papers (2022-12-02T18:28:23Z)
Continuous percolation in a Hilbert space for a large system of qubits [58.720142291102135]
The percolation transition is defined through the appearance of the infinite cluster. We show that the exponentially increasing dimensionality of the Hilbert space makes its covering by finite-size hyperspheres inefficient. Our approach to the percolation transition in compact metric spaces may prove useful for its rigorous treatment in other contexts.
arXiv Detail & Related papers (2022-10-15T13:53:21Z)
Long-distance entanglement of purification and reflected entropy in conformal field theory [58.84597116744021]
We study entanglement properties of mixed states in quantum field theory via entanglement of purification and reflected entropy. We find an elementary proof that the decay of both, the entanglement of purification and reflected entropy, is enhanced with respect to the mutual information behaviour.
arXiv Detail & Related papers (2021-01-29T19:00:03Z)
Particle on the sphere: group-theoretic quantization in the presence of a magnetic monopole [0.0]
We consider the problem of quantizing a particle on a 2-sphere. We construct the Hilbert space directly from the symmetry algebra. We show how the Casimir invariants of the algebra determine the bundle topology.
arXiv Detail & Related papers (2020-11-10T04:42:08Z)
Search for Efficient Formulations for Hamiltonian Simulation of non-Abelian Lattice Gauge Theories [0.0]
Hamiltonian formulation of lattice gauge theories (LGTs) is the most natural framework for the purpose of quantum simulation. It remains an important task to identify the most accurate, while computationally economic, Hamiltonian formulation(s) in such theories. This paper is a first step toward addressing this question in the case of non-Abelian LGTs.
arXiv Detail & Related papers (2020-09-24T16:44:39Z)
The quasi-particle picture and its breakdown after local quenches: mutual information, negativity, and reflected entropy [0.0]
We study the dynamics of (R'enyi) mutual information, logarithmic negativity, and (R'enyi) reflected entropy after exciting the ground state by a local operator. We are able to conjecture a close-knit structure between the three quantities that emerges in states excited above the vacuum.
arXiv Detail & Related papers (2020-08-25T20:47:05Z)
Preferred basis, decoherence and a quantum state of the Universe [77.34726150561087]
We review a number of issues in foundations of quantum theory and quantum cosmology. These issues can be considered as a part of the scientific legacy of H.D. Zeh.
arXiv Detail & Related papers (2020-06-28T18:07:59Z)
Quantum fluctuations of the compact phase space cosmology [0.0]
This article applies effective methods to extract semi-classical regime of quantum dynamics. We find a nontrivial behavior of the fluctuations around the recollapse of the universe. An unexpected relation between the quantum fluctuations of the cosmological sector and the holographic Bousso bound is shown.
arXiv Detail & Related papers (2020-03-18T10:08:11Z)

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