Authors
Vasil Penchev
Bulgarian Academy of Sciences
Abstract
The cognition of quantum processes raises a series of questions about ordering and information connecting the states of one and the same system before and after measurement: Quantum measurement, quantum in-variance and the non-locality of quantum information are considered in the paper from an epistemological viewpoint. The adequate generalization of ‘measurement’ is discussed to involve the discrepancy, due to the fundamental Planck constant, between any quantum coherent state and its statistical representation as a statistical ensemble after measurement. Quantum in-variance designates the relation of any quantum coherent state to the corresponding statistical ensemble of measured results. A set-theory corollary is the curious in-variance to the axiom of choice: Any coherent state excludes any well-ordering and thus excludes also the axiom of choice. However the above equivalence requires it to be equated to a well-ordered set after measurement and thus requires the axiom of choice for it to be able to be obtained. Quantum in-variance underlies quantum information and reveals it as the relation of an unordered quantum “much” (i.e. a coherent state) and a well-ordered “many” of the measured results (i.e. a statistical ensemble). It opens up to a new horizon, in which all physical processes and phenomena can be interpreted as quantum computations realizing relevant operations and algorithms on quantum information. All phenomena of entanglement can be described in terms of the so defined quantum information. Quantum in-variance elucidates the link between general relativity and quantum mechanics and thus, the problem of quantum gravity. The non-locality of quantum information unifies the exact position of any space-time point of a smooth trajectory and the common possibility of all space-time points due to a quantum leap. This is deduced from quantum in-variance. Epistemology involves the relation of ordering and thus a generalized kind of information, quantum one, to explain the special features of the cognition in quantum mechanics.
Keywords axiom of choice  entanglement  quantum information  quantum in-variance  qubit
Categories (categorize this paper)
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

 PhilArchive page | Other versions
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Quantum Information as the Information of Infinite Collections or Series.Vasil Penchev - 2020 - Information Theory and Research eJournal (Elsevier: SSRN) 1 (14):1-8.
Quantum Measure From a Philosophical Viewpoint.Vasil Penchev - 2014 - Journal of Siberian Federal University. Humanities and Social Sciences 7 (1):4-19.
Matter as Information. Quantum Information as Matter.Vasil Penchev - 2016 - Nodi. Collana di Storia Della Filosofia 2016 (2):127-138.
Quantum Mechanics is About Quantum Information.Jeffrey Bub - 2005 - Foundations of Physics 35 (4):541-560.
Quantum Teleportation.H. J. Kimble - 1999 - Vienna Circle Institute Yearbook 7:141-146.
Atomism in Quantum Mechanics and Information.Vasil Penchev - 2020 - Metaphysics eJournal (Elsevier: SSRN) 13 (12):1-11.
Time: From the Totality to Quantum Information.Vasil Penchev - 2020 - Philosophy of Science eJournal (Elsevier: SSRN) 13 (24):1-14.
The Ontological Status Of Quantum Information.Robert ArnĂutu - 2010 - Studia Universitatis Babeş-Bolyai Philosophia 1.
Quantum Gravity on a Quantum Computer?Achim Kempf - 2014 - Foundations of Physics 44 (5):472-482.

Analytics

Added to PP index
2020-08-06

Total views
121 ( #95,306 of 2,498,734 )

Recent downloads (6 months)
23 ( #37,624 of 2,498,734 )

How can I increase my downloads?

Downloads

My notes