arXiv:quant-ph/9512022quant-ph
Negative entropy and information in quantum mechanics
Early discovery. Linked by one identifiable commenter. This paper is outside the main ranking; a mention is not an endorsement.
Abstract
A framework for a quantum mechanical information theory is introduced that is based entirely on density operators, and gives rise to a unified description of classical correlation and quantum entanglement. Unlike in classical (Shannon) information theory, quantum (von Neumann) conditional entropies can be negative when considering quantum entangled systems, a fact related to quantum non-separability. The possibility that negative (virtual) information can be carried by entangled particles suggests a consistent interpretation of quantum informational processes.
Gotta put in a plug for QIT, which is very similar, but I think a little easier to understand: https://arxiv.org/abs/quant-ph/9512022 and a more accessible version that I wrote a long time ago: https://flownet.com/ron/QM.pdf
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