Elementary test for non-classicality based on measurements of position and momentum
| Autor: | Luca Fresta, Anders S. Sørensen, Johannes Borregaard |
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| Rok vydání: | 2015 |
| Předmět: |
Physics
Quantum Physics Rotational symmetry Physical system FOS: Physical sciences 01 natural sciences Atomic and Molecular Physics and Optics 010305 fluids & plasmas Quadrature (mathematics) Momentum Position (vector) Phase space Quantum mechanics 0103 physical sciences Probability distribution Statistical physics 010306 general physics Quantum Physics (quant-ph) Quantum |
| DOI: | 10.48550/arxiv.1508.00828 |
| Popis: | We generalise a non-classicality test described by Kot et al. [Phys. Rev. Lett. 108, 233601 (2010)], which can be used to rule out any classical description of a physical system. The test is based on measurements of quadrature operators and works by proving a contradiction with the classical description in terms of a probability distribution in phase space. As opposed to the previous work, we generalise the test to include states without rotational symmetry in phase space. Furthermore, we compare the performance of the non-classicality test with classical tomography methods based on the inverse Radon transform, which can also be used to establish the quantum nature of a physical system. In particular, we consider a non-classicality test based on the so-called filtered back-projection formula. We show that the general non-classicality test is conceptually simpler, requires less assumptions on the system and is statistically more reliable than the tests based on the filtered back-projection formula. As a specific example, we derive the optimal test for a quadrature squeezed single photon state and show that the efficiency of the test does not change with the degree of squeezing. |
| Databáze: | OpenAIRE |
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