Document Type

Conference Paper

Publication Date

4-2007

Publication Source

Electronic Notes in Theoretical Computer Science

Abstract

In 2002 Coecke and Martin created a Bayesian order for the finite dimensional spaces of classical states in physics and used this to define a similar order, the spectral order on the finite dimensional quantum states. These orders gave the spaces a structure similar to that of a domain. This allows for measuring information content of states and for determining which partial states are approximations of which pure states. In a previous paper the author extended the Bayesian order to infinite dimensional spaces of classical states. The order on infinite dimensional spaces retains many of the characteristics important to physics, but loses the domain theoretic structure. It becomes impossible to measure information content in the same way that it is done for the finite dimensional spaces, and the sense of approximation is lost. In this paper, we will use the Bayesian order to define a spectral order on the infinite dimensional spaces of quantum states.

Inclusive pages

263-274

ISBN/ISSN

1571-0661

Document Version

Postprint

Comments

Article available for download is the author's accepted manuscript, protected under the Creative Commons license CC BY-NC-ND.

Some differences may exist between the manuscript and the published version; as such, researchers wishing to quote directly from this resource are advised to consult the version of record.

Permission documentation is on file.

Volume

173

Peer Reviewed

yes

Keywords

Bayesian order, spectral order, classical states, quantum states, density operator, domain

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