Local Density Matrices of Many-Body States in the Constant Weight Subspaces

Journal article


Publication Details

Author(s): Chen J, Han M, Li Y, Zeng B, Zhou J
Journal: Reports on Mathematical Physics
Publication year: 2019
Volume: 83
Journal issue: 3
Pages range: 273-292
ISSN: 0034-4877


Abstract

Let V = ⊗N k=1 Vk be an N-particle Hilbert space, whose individual single-particle space is the one with spin j and dimension d = 2j + 1. Let V(w) be the subspace of V with constant weight w, consisting of vectors whose total spins are w. We show that the combinatorial properties of the constant weight condition impose strong constraints on the reduced density matrices for any vector |ψ) in the constant weight subspace V(w), which limit the possibility of the entanglement structures of |ψ). Our results find applications in the overlapping quantum marginal problem, quantum error-correcting codes, and the spin-network structures in quantum gravity.


FAU Authors / FAU Editors

Han, Muxin Dr.
Chair for Theoretical Physics III (Quantum Gravity)


External institutions with authors

Perimeter Institute for Theoretical Physics
Tsinghua University
University of Guelph (U of G)
University of Maryland


How to cite

APA:
Chen, J., Han, M., Li, Y., Zeng, B., & Zhou, J. (2019). Local Density Matrices of Many-Body States in the Constant Weight Subspaces. Reports on Mathematical Physics, 83(3), 273-292. https://dx.doi.org/10.1016/S0034-4877(19)30049-7

MLA:
Chen, Jianxin, et al. "Local Density Matrices of Many-Body States in the Constant Weight Subspaces." Reports on Mathematical Physics 83.3 (2019): 273-292.

BibTeX: 

Last updated on 2019-01-07 at 08:53