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In physics, the no-deleting theorem of quantum information theory is a no-go theorem which states that, in general, given two copies of some arbitrary quantum state, it is impossible to delete one of the copies. It is a time-reversed dual to the no-cloning theorem, which states that arbitrary states cannot be copied. It was proved by Arun K. Pati and Samuel L. Braunstein. Intuitively, it is because information is conserved under unitary evolution.
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A generalized probabilistic theory (GPT) is a general framework to describe the operational features of arbitrary physical theories. A GPT must specify what kind of physical systems one can find in the lab, as well as rules to compute the outcome statistics of any experiment involving labeled preparations, transformations and measurements. The framework of GPTs has been used to define hypothetical non-quantum physical theories which nonetheless possess quantum theory's most remarkable features, such as entanglement or teleportation. Notably, a small set of physically motivated axioms is enough to single out the GPT representation of quantum theory.
References
- ↑ Wootters, W. K.; Zurek, W. H. (28 October 1982). "A single quantum cannot be cloned". Nature. 299 (5886): 802–803. Bibcode:1982Natur.299..802W. doi:10.1038/299802a0. ISSN 1476-4687. S2CID 4339227.
- ↑ D. Dieks, "Communication by EPR devices", Physics Letters A 92 (1982) 271–272.
- ↑ Park, James (1970). "The concept of transition in quantum mechanics". Foundations of Physics . 1 (1): 23–33. Bibcode:1970FoPh....1...23P. CiteSeerX 10.1.1.623.5267 . doi:10.1007/BF00708652. S2CID 55890485.
- ↑ C. H. Bennett; G. Brassard; C. Crépeau; R. Jozsa; A. Peres; W. K. Wootters (1993). "Teleporting an Unknown Quantum State via Dual Classical and Einstein–Podolsky–Rosen Channels". Phys. Rev. Lett. 70 (13): 1895–1899. Bibcode:1993PhRvL..70.1895B. CiteSeerX 10.1.1.46.9405 . doi:10.1103/PhysRevLett.70.1895. PMID 10053414.
- ↑ Fuchs, Christopher A.; Schlosshauer, Maximilian; Stacey, Blake C. (2015-05-10). "My Struggles with the Block Universe". arXiv: 1405.2390 [quant-ph].
- ↑ "William K. Wootters CV" (PDF). Science Center. Williams College . Retrieved 2019-03-24.
- ↑ "APS Fellow Archive". American Physical Society . Retrieved 2019-03-24.
- ↑ Review of Protecting Information by Fan Junjie (March 29, 2012), International Association for Cryptologic Research.
- ↑ Review of Protecting Information by Darren Glass (April 5, 2007), MAA Reviews, Mathematical Association of America.
