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Physical Traces: Quantum vs. Classical Information Processing

Samson Abramsky·Bob Coecke
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Abstract

Within the Geometry of Interaction (GoI) paradigm, we present a setting that enables qualitative differences between classical and quantum processes to be explored. The key construction is the physical interpretation/realization of the traced monoidal categories of finite-dimensional vector spaces with tensor product as monoidal structure and of finite sets and relations with Cartesian product as monoidal structure, both of them providing a so-called wave-style GoI. The developments in this paper reveal that envisioning state update due to quantum measurement as a process provides a powerful tool for developing high-level approaches to quantum information processing.

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BibTeXRIS

Samson Abramsky, Bob Coecke. 2003-04-04. Physical Traces: Quantum vs. Classical Information Processing. https://arxiv.org/abs/cs/0207057

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