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Context translation & quantum information via state partitions quant-ph/0308110

Context translation & quantum information via state partitions quant-ph/0308110. Karl Svozil ITP/TUW http://tph.tuwien.ac.at/~svozil/. Some recent interests (order shows no preference). Boole-Bell type „conditions of classical experience“ (with Itamar Pitowsky)

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Context translation & quantum information via state partitions quant-ph/0308110

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  1. Context translation & quantum information via state partitionsquant-ph/0308110 Karl Svozil ITP/TUW http://tph.tuwien.ac.at/~svozil/

  2. Some recent interests (order shows no preference) • Boole-Bell type „conditions of classical experience“ (with Itamar Pitowsky) • Bounds on quantum probabilities (with Stefan Filip) • Modifications of Turing’s proof of the recursion theoretic undecidability of the halting problem & • “closed wordlines” (with Daniel Greenberger) • Investigation of forms of undecidability in qm (automata uncertainty, Gödel type incompleteness, def. of quantum coin toss) • Distinction between descriptions which are „intrinsically operational“ vs. „extrinsic“ description • Measurement interface in qm; reversible vs. irreversible

  3. Generalized urn models, finite automate & their quantum doubles • GUM (Ron Wright 78/90) • Finite deterministic automata simulating complementarity (Edward Moore 1956)

  4. Amazing single particle quantum systems Specialization in two tasks: • Knowing the precise answer to just a single question it was prepared to answer • Flipping a more or less fair quantum coin when asked an improper question => Discrepancy: one the one hand, it cannot add 2+2, yet on the other hand it possesses super-Turing computation powers

  5. Quantum randomness through context translation • Interface “translates” improper into proper questions, thereby generating noise • Possible test: cooling of the interface

  6. n-ary information in k-particle systems defined by state partitions • One-particle system: partitioning of the set of states • k-particle n-state (per particle) systems: k partitions of the set of product states into n elements (per partition), such that: • Take a single element per partition & form set theoretic union; as a result, one product state is obtained; • The set theoretic union of all the product states obtained by (i) is the entire set ofg product state Call every such partition a “nit.” Result “k particle carry k nits” (cf. Zeilinger’s Foundational Principle”, 1999)

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