Local Density Matrices of Many-Body States in the Constant Weight Subspaces
Chen J, Han M, Li Y, Zeng B, Zhou J (2019)
Publication Type: Journal article
Publication year: 2019
Journal
Book Volume: 83
Pages Range: 273-292
Journal Issue: 3
DOI: 10.1016/S0034-4877(19)30049-7
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.
Authors with CRIS profile
Involved external institutions
Tsinghua University
China (CN)
Perimeter Institute for Theoretical Physics
Canada (CA)
University of Maryland
United States (USA) (US)
University of Guelph (U of G)
Canada (CA)
China (CN)
Perimeter Institute for Theoretical Physics
Canada (CA)
University of Maryland
United States (USA) (US)
University of Guelph (U of G)
Canada (CA)
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.
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