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arXiv · 1207.4563

Higher Quantum Theory

Jamie Vicary
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Abstract

We propose a 2-categorical formalism for describing classical information, quantum systems, and their interactions, based on the principle that classical information can be encoded as correlations between quantum systems. Applying this in the 2-category of 2-Hilbert spaces recovers ordinary quantum theory. The formalism gives a simple, graphical way to describe the specification and implementation of certain quantum procedures, which we use to investigate quantum teleportation, dense coding, complementarity and quantum erasure, verifying our results computationally using a software package.

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Jamie Vicary. 2012-07-19. Higher Quantum Theory. https://arxiv.org/abs/1207.4563

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