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Synchronization of quantum transitions and applications

Sergei N Bagaev, V. P. Chebotaev

Published May 21, 1990• 0 citations
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We report on a new type of sublevel echoes, synchronized-quantum-beat (SQB) echoes, generated by a successive application of two resonant light-pulse trains. The echoes are selectively generated for a sublevel pair whose frequency splitting is equal to an integral multiple of the repetition frequency of the light pulses. By using mode locked laser pulses tuned to the D(1) transition, we observed SQB echoes (and free induction decay) for all Zeeman and hyperfine transitions in the ground state of sodium atoms in low magnetic fields.
Synchronizing words in classical automata theory provide a mechanism to reset any state of a deterministic automaton to a specific target state via a carefully chosen finite sequence of transition rules. In this work, we extend the concept of synchronizing words to quantum information theory. Specifically, we show that with only two quantum channels, it is possible to bring an arbitrary qutrit state close to a designated target state. Furthermore, we demonstrate that following this reset, any pure real qutrit state can be closely approximated using the same two channels. These findings establish a quantum analogue of synchronizing words, highlighting their potential applications in constructing minimal sets of universal quantum gates capable of both resetting and preparing arbitrary states.