Finite-dimensional quantum mechanics, including the Born rule and complex Hilbert space structure, follows uniquely from distinguishability plus finite capacity and self-referential consistency.
Quantum Mechanics as Quantum Information (and only a little more)
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
abstract
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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A family of theories with non-standard composition rules match quantum Bell correlations, establishing that the composition postulate is independent of other quantum features.
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.
An entropy-corrected action principle on superspace recovers the Wheeler-DeWitt equation for gravity and a Schrödinger equation for coupled scalar fields with emergent time and a G ħ² correction term.
Algebraic QFT on curved spacetime erases the distinction between physically real and fictional quantum states that exists in flat-space QM, and the state concept itself may be dispensable.
citing papers explorer
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Existence as Distinguishability: Quantum Mechanics from Finite Graded Equality
Finite-dimensional quantum mechanics, including the Born rule and complex Hilbert space structure, follows uniquely from distinguishability plus finite capacity and self-referential consistency.
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The composition rule for quantum systems is not the only possible one
A family of theories with non-standard composition rules match quantum Bell correlations, establishing that the composition postulate is independent of other quantum features.
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Universal Entanglement and an Information-Complete Quantum Theory
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.
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Quantizing gravitational fields with an entropy-corrected action principle
An entropy-corrected action principle on superspace recovers the Wheeler-DeWitt equation for gravity and a Schrödinger equation for coupled scalar fields with emergent time and a G ħ² correction term.
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A skepticism on the concept of quantum state related to quantum field theory on curved spacetime
Algebraic QFT on curved spacetime erases the distinction between physically real and fictional quantum states that exists in flat-space QM, and the state concept itself may be dispensable.