Numerical model for macroscopic quantum superpositions based on phase-covariant quantum cloning
arXiv:1112.0632 · doi:10.1016/j.cpc.2012.04.027
Abstract
Macroscopically populated quantum superpositions pose a question to what extent macroscopic world obeys quantum mechanical laws. Recently such superpositions for light, generated by optimal quantum cloner, were demonstrated. They are of fundamental and technological interest. We present numerical methods useful for modeling of these states. Their properties are governed by Gaussian hypergeometric function, which cannot be reduced to neither elementary nor easily tractable functions. We discuss the method of efficient computation of this function for half integer parameters and moderate value of its argument. We show how to dynamically estimate a cutoff for infinite sums involving this function performed over its parameters. Our algorithm exceeds double precision and is parallelizable. Depending on the experimental parameters it chooses one of the several ways of summation to achieve the best efficiency. Methods presented here can be adjusted for analysis of similar experimental schemes.
19 pages, 4 figures. Accepted for publication in Comp. Phys. Commun
References in corpus (8)
- Heralded quantum entanglement between two crystals
- Schroedinger Cat: Entanglement test in a Micro-Macroscopic system
- Quantum experiments with human eyes as detectors based on cloning via stimulated emission
- Fast computation of the Gauss hypergeometric function with all its parameters complex with application to the Poschl-Teller-Ginocchio potential wave functions
- Experimental macroscopic coherence by phase-covariant cloning of a single photon
- Quantum to classical transition via fuzzy measurements on high gain spontaneous parametric down-conversion
- Filtering of the absolute value of photon-number difference for two-mode macroscopic quantum superpositions
- Bell Inequality Tests with Macroscopic Entangled States of Light
Cited by in corpus (5)
- Filtering of the absolute value of photon-number difference for two-mode macroscopic quantum superpositions
- Efficient Amplification of Photonic Qubits by Optimal Quantum Cloning
- Interference of macroscopic beams on a beam splitter: phase uncertainty converted into photon-number uncertainty
- Towards loophole-free Bell inequality test with preselected unsymmetrical singlet states of light
- Loss-tolerant hybrid measurement test of CHSH inequality with weakly amplified N00N states