Contrasting quantum mechanics to local hidden variables theories in quantum optics and quantum information science

Pope, Damian (2002). Contrasting quantum mechanics to local hidden variables theories in quantum optics and quantum information science PhD Thesis, School of Physical Sciences, The University of Queensland.

       
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Author Pope, Damian
Thesis Title Contrasting quantum mechanics to local hidden variables theories in quantum optics and quantum information science
School, Centre or Institute School of Physical Sciences
Institution The University of Queensland
Publication date 2002
Thesis type PhD Thesis
Supervisor Professor G. J. Milburn
Professor P. D. Drummond
Total pages 218
Collection year 2002
Language eng
Subjects L
240201 Theoretical Physics
780102 Physical sciences
Formatted abstract

We contrast a number of nonclassical features of quantum optics and quantum information science to those in either one or more local hidden variables theories (LHVTs). In quantum optics, we contrast certain third-order transient quantum correlations for the damped nondegenerate parametric oscillator to their analogues in the LHVT stochastic electrodynamics. We also demonstrate, in a novel manner, the occurrence of a recently formulated theoretical process called quantum state exchange in a particular model. This is a process by which we can transfer a degree of freedom from an electromagnetic field to one or more trapped atom(s). Finally, we show that a certain entangled state involving two groups of trapped ions located in two spatially separated ion traps can exhibit correlations beyond the scope of all LHVTs by virtue of violating a novel Bell inequality. Turning to quantum information science, we show that the entangled state mentioned above contains a certain type of multipartite entanglement, a resource which typically manifests correlations that cannot be simulated using a LHVT. We then derive a lower bound on the amount of this entanglement in the state using a novel entanglement measure. Next, we show that, given a certain assumption, instances of the Bennett et al. teleportation protocol for which the fidelity of the teleportation process is greater than approximately 0.902 cannot be modelled by any LHVT. Finally, we contrast the computational power of the quantum circuits model to that of two particular classical wave computing models, showing that one reason why the quantum circuits model is more powerful than these models is that, in this model, we compute using binary representation instead of a unary one.

Keyword Quantum theory
Quantum optics

Document type: Thesis
Collection: UQ Theses (RHD) - UQ staff and students only
 
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Created: Fri, 24 Aug 2007, 17:50:24 EST