Computer Science – Computational Geometry
Scientific paper
2002-07-14
Electronic Notes in Theoretical Computer Science 69 (2003)
Computer Science
Computational Geometry
The paper is written for a computer science journal, requires some knowledge on category theory but provides some basics on qu
Scientific paper
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.
Abramsky Samson
Coecke Bob
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