SYNCHRONIZING THE SIMPLEST CLASSICAL SYSTEM AND THEN QUANTIZING IT

Synchronizing the simplest classical system and then quantizing it

Synchronizing the simplest classical system and then quantizing it

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We propose a discrete synchronization model of a finite d-level system and discuss what happens once superposition of states is allowed.The model exhibits various here asymptotic behaviors that depend on the initial state.In particular, two antagonistic phenomena can occur: a transition into a product of two basis states and an entanglement generation.

Next, we generalize this model il barone wine and show that it is possible to phase lock a periodic dynamics of a single qubit to a periodic dynamics of a single qudit.Finally, we present a spin system whose dynamics is a continuous-time analog of the above discrete model.

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