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University of Oxford

1. Knee, George C. Concepts and applications of quantum measurement.

Degree: PhD, 2014, University of Oxford

In this thesis I discuss the nature of ‘measurement’ in quantum theory. ‘Measurement’ is associated with several different processes: the gradual imprinting of information about one system onto another, which is well understood; the collapse of the wavefunction, which is ill-defined and troublesome; and finally, the means by which inferences about unknown experimental parameters are made. I present a theoretical extension to an experimental proposal from Leggett and Garg, who suggested that the quantum-or-classical reality of a macroscopic system may be probed with successive measurements arrayed in time. The extension allows for a finite level of imperfection in the protocol, and makes use of Leggett’s ‘null result’ measurement scheme. I present the results of an experiment conducted in Oxford that, up to certain loopholes, defies a non-quantum interpretation of the dynamics of phosphorous nuclei embedded in silicon. I also present the theory of statistical parameter estimation, and discover that a recent trend to employ time symmetric ‘postselected’ measurements offers no true advantage over standard methods. The technique, known as weak-value amplification, combines a weak transfer of quantum information from system to meter with conditional data rejection, to surprising effect. The Fisher information is a powerful tool for evaluating the performance of any parameter estimation model, and it reveals the technique to be worse than ordinary, preselected only measurements. That this is true despite the presence of noise (including magnetic field fluctuations causing deco- herence, poor resolution detection, and random displacements), casts serious doubt on the utility of the method.

Subjects/Keywords: 530.12; Quantum theory (mathematics); Philosophy of physics; Quantum information processing; Theoretical physics; Condensed matter theory; Atomic and laser physics; Africa; Leggett-Garg; Macrorealism; Weak value; Quantum theory; measurement; quantum measurement; weak measurement; null result measurement; venality; Fisher information; parameter estimation; amplification

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Knee, G. C. (2014). Concepts and applications of quantum measurement. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:2838a30b-302c-4fac-9e86-1ca452a88a83 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.604537

Chicago Manual of Style (16th Edition):

Knee, George C. “Concepts and applications of quantum measurement.” 2014. Doctoral Dissertation, University of Oxford. Accessed September 22, 2019. http://ora.ox.ac.uk/objects/uuid:2838a30b-302c-4fac-9e86-1ca452a88a83 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.604537.

MLA Handbook (7th Edition):

Knee, George C. “Concepts and applications of quantum measurement.” 2014. Web. 22 Sep 2019.

Vancouver:

Knee GC. Concepts and applications of quantum measurement. [Internet] [Doctoral dissertation]. University of Oxford; 2014. [cited 2019 Sep 22]. Available from: http://ora.ox.ac.uk/objects/uuid:2838a30b-302c-4fac-9e86-1ca452a88a83 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.604537.

Council of Science Editors:

Knee GC. Concepts and applications of quantum measurement. [Doctoral Dissertation]. University of Oxford; 2014. Available from: http://ora.ox.ac.uk/objects/uuid:2838a30b-302c-4fac-9e86-1ca452a88a83 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.604537

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