NDLI: Partial Description of Quantum States

Content Provider	Springer Nature Link
Author	Brunet, Olivier
Copyright Year	2008
Abstract	One of the most central and controversial element of quantum mechanics is the use of non zero vectors of a Hilbert space (or, more generally, of one dimension subspaces) for representing the state of a quantum system. In particular, the question whether such a representation is complete has been debated since almost the early days of quantum mechanics.In this article, we develop an alternate way to formalize knowledge about the state of quantum systems, based solely on experimentally accessible elements, namely on outcomes of finite measurements. We introduce what we call partial description which, given a feasible measurement, indicates some outcomes which are known to be impossible (i.e. known to have a probability equal to 0 to occur) and hence have to be discarded. Then, we introduce partial states (which are partial descriptions providing as much information as possible) and compare this way to describe quantum states to the orthodox one, using vector rays.Finally, we show that partial states allow to describe quantum states in a strictly more expressive way that the orthodox description does.
Starting Page	729
Ending Page	742
Page Count	14
File Format	PDF
ISSN	00207748
Journal	International Journal of Theoretical Physics
Volume Number	48
Issue Number	3
e-ISSN	15729575
Language	English
Publisher	Springer US
Publisher Date	2008-09-26
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Quantum logic Foundations of quantum mechanics Knowledge theory Partial knowledge Mathematical and Computational Physics Elementary Particles, Quantum Field Theory Quantum Physics Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mathematics

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