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Quantum Mechanics as Quantum Information (and only a little more)

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arxiv quant-ph/0205039 v1 pith:IGCM3V5Z submitted 2002-05-08 quant-ph

classification quant-ph
keywords quantuminformationtheorymechanicswillabstractall--ofalways
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In this paper, I try once again to cause some good-natured trouble. The issue remains, when will we ever stop burdening the taxpayer with conferences devoted to the quantum foundations? The suspicion is expressed that no end will be in sight until a means is found to reduce quantum theory to two or three statements of crisp physical (rather than abstract, axiomatic) significance. In this regard, no tool appears better calibrated for a direct assault than quantum information theory. Far from a strained application of the latest fad to a time-honored problem, this method holds promise precisely because a large part--but not all--of the structure of quantum theory has always concerned information. It is just that the physics community needs reminding. This paper, though taking quant-ph/0106166 as its core, corrects one mistake and offers several observations beyond the previous version. In particular, I identify one element of quantum mechanics that I would not label a subjective term in the theory--it is the integer parameter D traditionally ascribed to a quantum system via its Hilbert-space dimension.

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Cited by 6 Pith papers

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

  1. Existence as Distinguishability: Quantum Mechanics from Finite Graded Equality

    quant-ph 2026-03 conditional novelty 7.0 of 10 partial

    Finite-dimensional quantum mechanics, including the Born rule and complex Hilbert space structure, follows uniquely from distinguishability plus finite capacity and self-referential consistency.

  2. Proper and improper mixed states serve as different prior beliefs for quantum state retrodiction

    quant-ph 2025-02 accept novelty 7.0 of 10

    Proper and improper mixtures serve as distinct prior beliefs for quantum retrodiction, with a necessary and sufficient equivalence condition derived for when they are interchangeable.

  3. The composition rule for quantum systems is not the only possible one

    quant-ph 2024-11 unverdicted novelty 7.0 of 10

    A family of theories with non-standard composition rules match quantum Bell correlations, establishing that the composition postulate is independent of other quantum features.

  4. Universal Entanglement and an Information-Complete Quantum Theory

    physics.gen-ph 2019-07 unverdicted novelty 6.0 of 10

    Proposes the information-complete quantum theory (ICQT) as a framework for quantum gravity where universal spacetime-matter entanglement serves as the sole information carrier without classical systems.

  5. Physical Observers and Quantum Reconstructions

    quant-ph 2025-06 reject novelty 5.0 of 10

    The paper proposes a 'least self-impediment' principle showing that minimizing dissipation leads observers to retain only predictive information, supporting a core premise of relational quantum mechanics.

  6. Quantum Reconstruction and Phenomenology per the Relativity Principle

    quant-ph 2026-06 unverdicted novelty 3.0 of 10

    The relativity principle is shown to necessitate the discreteness requirement in quantum reconstruction programs when combined with Planck's radiation law, unifying the foundational explanations of special relativity ...

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