ABSTRACT
A D-dimensional Markovian open quantum system will undergo quantum jumps between pure states, if we can monitor the bath to which it is coupled with sufficient precision. In general, these jumps, plus the between-jump evolution, create a trajectory which passes through infinitely many different pure states. Here we show that, for any ergodic master equation, one can expect to find an adaptive monitoring scheme on the bath that can confine the system state to jumping between only K states, for some K ≥ (D - 1)(2) + 1. For D = 2 we explicitly construct a two-state ensemble for any ergodic master equation, showing that one bit is always sufficient to track a qubit.
ABSTRACT
Heart rate and skin conductance were monitored continuously while subjects heard and responded to seven riddles and seven problems which were structurally similar. Hypotheses based on cognitive problem-solving models of humor were tested by comparing changes occurring during problem solving with those that occurred during "riddle solving". While heart rate tended to accelerate once a riddle or problem was presented and decelerate once the answer or punch line was given, there were significant differences in skin conductance between riddle- and problem-solving responses, suggesting that a purely problem-solving model of humor may be untenable. A test of Berlyne's hypothesis of arousal change and humor appreciation was also made. As predicted, humor appreciation was greatest for those who showed a moderate amount of change.
