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Quantum tensor product structures are observable-induced

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arxiv quant-ph/0308043 v1 pith:E4J2ESI6 submitted 2003-08-07 quant-ph

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keywords quantumobservable-inducedproducttensoraccessibleaimedalgebraicargued
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It is argued that the partition of a quantum system into subsystems is dictated by the set of operationally accessible interactions and measurements. The emergence of a multi-partite tensor product structure of the state-space and the associated notion of quantum entanglement are then relative and observable-induced. We develop a general algebraic framework aimed to formalize this concept. We discuss several cases relevant to quantum information processing and decoherence control.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Relational entanglement entropies and quantum reference frames in gauge theories

    hep-th 2025-06 accept novelty 7.0 of 10

    Quantum reference frames built from Wilson lines give lattice gauge theories gauge-invariant subsystem factorizations and a hierarchy of relational entanglement entropies.

  2. Partitions in quantum theory

    quant-ph 2025-06 conditional novelty 7.0 of 10

    A definition of multipartitions of quantum systems into possibly non-factor sub-C* algebras, with a representation theorem showing that some partitions, such as fermionic modes, are not fully representable on tensor-p...

  3. Wave packets from the spectrum

    quant-ph 2026-06 unverdicted novelty 5.0 of 10

    Any Hamiltonian can be recast via Fock basis change as a local 1D lattice theory whose dispersion relation and non-integrability depend on its spectrum.

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