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20 January 2021
 
  » arxiv » cs.CG/0207057

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Physical Traces: Quantum vs. Classical Information Processing
Samson Abramsky ; Bob Coecke ;
Date 14 Jul 2002
Journal Electronic Notes in Theoretical Computer Science 69 (2003)
Subject Computational Geometry; Logic in Computer Science; Category Theory ACM-class: F.1, F.2 | cs.CG cs.LO math.CT quant-ph
AbstractWithin 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.
Source arXiv, cs.CG/0207057
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