A Quantum EL Theorem

• URL: http://arxiv.org/abs/2301.08348v1
• Date: Thu, 19 Jan 2023 22:44:45 GMT
• Title: A Quantum EL Theorem
• Authors: Samuel Epstein
• Abstract summary: We prove a quantum version of the EL Theorem. A consequence is there is no way to communicate a quantum source with corresponding large enough von Neumann entropy without using simple quantum states.
• Score: 12.18340575383456
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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