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- W4386528654 abstract "Adrian Kent has recently presented a critique [arXiv:2307.06191] of our paper [Nat. Comms. 10, 1361 (2019)] in which he claims to refute our main result: the measurement postulates of quantum mechanics can be derived from the rest of postulates, once we assume that the set of mixed states of a finite-dimensional Hilbert space is finite-dimensional. To construct his argument, Kent considers theories resulting from supplementing quantum mechanics with hypothetical post-quantum measurement devices. We prove that each of these theories contains pure states (i.e. states of maximal knowledge) which are not rays of the Hilbert space, in contradiction with the pure state postulate of quantum mechanics. We also prove that these alternatives violate the finite-dimensionality of mixed states. Each of these two facts separately invalidates the refutation. In this note we also clarify the assumptions used in the above-cited paper and discuss the notions of pure state, physical system, and the sensitivity of the structure of the state space under modifications of the measurements or the dynamics." @default.
- W4386528654 created "2023-09-08" @default.
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- W4386528654 date "2023-09-04" @default.
- W4386528654 modified "2023-10-16" @default.
- W4386528654 title "Response to The measurement postulates of quantum mechanics are not redundant" @default.
- W4386528654 doi "https://doi.org/10.48550/arxiv.2309.01650" @default.
- W4386528654 hasPublicationYear "2023" @default.
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