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We compare different methods when simulating the evolution of initial ground state profiles and some initial data perturbed from them.
Adiabatic quantum computation (AQC) is a universal model for quantum computation which seeks to transform the initial ground state of a quantum system into a final ground state encoding the answer to a computational problem.
This scheme is possible if the excited state of an atom has decay modes other than the initial ground state and its decay rate is faster than the spontaneous decay rate from to and the Rabi frequency42,43,44 (Fig. 4a).
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We show that when solving the time-dependent Schrödinger equation, small errors in the initial ground-state wave function can be magnified considerably during propagation.
Once an atom has absorbed radiation and reached an excited state, its chemical properties may become quite different from what they were in the initial, or ground, state.
The movement from the initial or ground state (S0) to the excited state (S1 or Sn) is called an electronic transition whose frequency is proportional to the energy difference between the two states.
Finally, we derive a sufficient condition of global existence of solutions to the Cauchy problem (1.1) by using the relation between initial data and the ground state solution of (1.4).
Using the vibrational ground state as initial state for averaging, the energy partitioning into different degrees of freedom and isotope effects are investigated.
Note that eq 11.6 reduces to eq 9.17, obtained within the DKL model, in the harmonic approximation for the vibrational motion of the proton in its initial and final localized states and considering that the proton frequency satisfies the condition ℏωp > kB T, so that only the proton vibrational ground state is initially populated.
In our experiment the initial state is prepared in the system's ground state |0g1g2.
AQC initial Hamiltonians conventionally have a uniform superposition as ground state.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com