Bounding entanglement entropy using zeros of local correlation matrices
نویسندگان
چکیده
A quantitative connection between correlation functions and entanglement is established. In particular, the zeros of local matrices are shown to give an upper bound on entropy.
منابع مشابه
Reduced density matrices and entanglement entropy in free lattice models
We review the properties of reduced density matrices for free fermionic or bosonic many-particle systems in their ground state. Their basic feature is that they have a thermal form and thus lead to a quasi-thermodynamic problem with a certain free-particle Hamiltonian. We discuss the derivation of this result, the character of the Hamiltonian and its eigenstates, the single-particle spectra and...
متن کاملEntropy of Bounding Tori
Branched manifolds that describe strange attractors in R can be enclosed in, and are organized by, canonical bounding tori. Tori of genus g are labeled by a symbol sequence, or “periodic orbit”, of period g−1. We show that the number of distinct canonical bounding tori grows exponentially like N(g) ∼ eλ(g−1), with e = 3, so that the “bounding tori entropy” is log(3).
متن کاملCorrelation amplitude and entanglement entropy in random spin chains
José A. Hoyos,1,2,* André P. Vieira,3,† N. Laflorencie,4,5,‡ and E. Miranda1,§ 1Instituto de Física Gleb Wataghin, Unicamp, Caixa Postal 6165, 13083-970 Campinas, São Paulo, Brazil 2Department of Physics, University of Missouri-Rolla, Rolla, Missouri 65409, USA 3Departamento de Engenharia Metalúrgica e de Materiais, Universidade Federal do Ceará, 60455-760 Fortaleza, Ceará Brazil 4Institute of ...
متن کاملBounding Relative Entropy by the Relative Entropy of Local Specifications in Product Spaces
The above inequality implies a logarithmic Sobolev inequality for q. We get an explicit lower bound for the logarithmic Sobolev constant of q under the assumptions that: (i) the local specifications of q satisfy logarithmic Sobolev inequalities with constants ρi, and (ii) they also satisfy some condition expressing that the mixed partial derivatives of the Hamiltonian of q are not too large rel...
متن کاملMoving zeros among matrices
——————— Abstract: We investigate the zero–patterns that can be created by unitary similarity in a given matrix, and the zero–patterns that can be created by simultaneous unitary similarity in a given sequence of matrices. The latter framework allows a “simultaneous Hessenberg” formulation of Pati’s tridiagonal result for 4×4 matrices. This formulation appears to be a strengthening of Pati’s the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical review research
سال: 2022
ISSN: ['2643-1564']
DOI: https://doi.org/10.1103/physrevresearch.4.l042037