caa a22 4500 44585877X CHVBK 20180317145436.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s10946-011-9230-2 doi (NATIONALLICENCE)springer-10.1007/s10946-011-9230-2 Dodonov Victor Instituto de Física, Universidade de Brasília Caixa Postal 04455, 70910-900, Brasília, DF, Brazil aut Comparing energy difference and fidelity of quantum states [Elektronische Daten] [Victor Dodonov] We look for upper bounds of the relative energy difference of two pure quantum states with a fixed fidelity between them or upper bounds of the fidelity for a fixed relative energy difference. The results depend on the concrete families of states chosen for the comparison. Exact analytical expressions are found for several popular sets of states: coherent, squeezed vacuum, binomial, negative binomial, and coherent phase states. Their consequence is that to guarantee, for example, a relative energy difference less than 10% for quite arbitrary (unknown) coherent states, the fidelity must exceed the level 0.995. For other kinds of states, the restrictions can be much stronger. Springer Science+Business Media, Inc., 2011 Fidelity nationallicence energy difference nationallicence harmonic oscillator nationallicence superpositions of Fock states nationallicence coherent states nationallicence squeezed states nationallicence binomial and negative binomial states nationallicence phase coherent states nationallicence "hyper-Poissonian” states nationallicence Journal of Russian Laser Research Springer US; http://www.springer-ny.com 32/5(2011-09-01), 412-421 1071-2836 32:5<412 2011 32 10946 https://doi.org/10.1007/s10946-011-9230-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10946-011-9230-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Dodonov Victor Instituto de Física, Universidade de Brasília Caixa Postal 04455, 70910-900, Brasília, DF, Brazil aut NATIONALLICENCE 773 0- Journal of Russian Laser Research Springer US; http://www.springer-ny.com 32/5(2011-09-01), 412-421 1071-2836 32:5<412 2011 32 10946 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer