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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 | 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. | Source: | arXiv, cs.CG/0207057 | Services: | Forum | Review | PDF | Favorites |
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