English

A Quantum EL Theorem

Computational Complexity 2023-01-23 v1 Quantum Physics

Abstract

In this paper, we prove a quantum version of the EL Theorem. It states that non-exotic projections of large rank must have simple quantum states in their images. A consequence to this is there is no way to communicate a quantum source with corresponding large enough von Neumann entropy without using simple quantum states.

Cite

@article{arxiv.2301.08348,
  title  = {A Quantum EL Theorem},
  author = {Samuel Epstein},
  journal= {arXiv preprint arXiv:2301.08348},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2102.03905

R2 v1 2026-06-28T08:15:50.110Z