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Towards optimal experimental tests on the reality of the quantum state
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Knee, George C. (2017) Towards optimal experimental tests on the reality of the quantum state. New Journal of Physics, 19 (2). 023004. ISSN 1367-2630.
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Official URL: https://doi.org/10.1088/1367-2630/aa54ab
Abstract
The Barrett--Cavalcanti--Lal--Maroney (BCLM) argument stands as the most effective means of demonstrating the reality of the quantum state. Its advantages include being derived from very few assumptions, and a robustness to experimental error. Finding the best way to implement the argument experimentally is an open problem, however, and involves cleverly choosing sets of states and measurements. I show that techniques from convex optimisation theory can be leveraged to numerically search for these sets, which then form a recipe for experiments that allow for the strongest statements about the ontology of the wavefunction to be made. The optimisation approach presented is versatile, efficient and can take account of the finite errors present in any real experiment. I find significantly improved low-cardinality sets which are guaranteed partially optimal for a BCLM test in low Hilbert space dimension. I further show that mixed states can be more optimal than pure states.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QC Physics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||||
| Library of Congress Subject Headings (LCSH): | Quantum theory | ||||||||
| Journal or Publication Title: | New Journal of Physics | ||||||||
| Publisher: | IOP Publishing | ||||||||
| ISSN: | 1367-2630 | ||||||||
| Official Date: | 1 February 2017 | ||||||||
| Dates: |
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| Volume: | 19 | ||||||||
| Number: | 2 | ||||||||
| Article Number: | 023004 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||
| Date of first compliant deposit: | 8 February 2017 | ||||||||
| Date of first compliant Open Access: | 8 February 2017 | ||||||||
| Funder: | Great Britain. Royal Commission for the Exhibition of 1851, John Templeton Foundation |
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