Implementing quantum gates on oriented optical isomers

Journal of Chemical Physics

Volumn 120, Issue 23, 2004, Pages 10955-10960

  Sola, Ignacio R ^a,b   Malinovsky, Vladimir S ^c   Santamaría, Jesus ^b  

^a PRINCETON UNIVERSITY   (United States)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^c UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ENANTIOMERS; PARITY; PULSE POLARIZATIONS; QUANTUM GATES; ROTATING WAVE APPROXIMATION (RWA);

APPROXIMATION THEORY; CHROMOPHORES; CONFORMATIONS; ELECTRON TUNNELING; FREQUENCIES; HAMILTONIANS; ISOMERS; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; NUCLEAR MAGNETIC RESONANCE; PHOTONS; QUANTUM THEORY;

QUANTUM OPTICS;

EID: 3042806402     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1739403     Document Type: Article

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22. 0(t)/2](0 0 1 0 0 1 1 1 0) The Schrödinger equation for this Hamiltonian has analytical solution. If the initial state is in |i〉, the final wave function will be |ψ(t)〉=1/2(1+cos script A sign)|i〉-1/2(1-cos script A sign)|f〉+(i/√2)sin |E〉, where script A sign=∫Ω(t)dt is the pulse area. Population inversion from |i〉 to |f〉 is possible using π pulses. However, it is not possible to create 50:50 superposition states of |i〉 and |f〉 and at the same time avoid population in |E〉, that is, every superposition or entangled state prepared by resonant fully overlapping pulses would be contaminated by some population in the excited electronic state. In fact, for half π pulses |ψ(t)〉 = (|i〉-|f〉)/√2+i|E〉)/√2 so that 50% of the population is actually in |E〉.
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