A general operational protocol which provides permanent macroscopic coherence of the response of any stable complex system put in an ever-changing environment is proposed. It turns out that the coherent response consi...A general operational protocol which provides permanent macroscopic coherence of the response of any stable complex system put in an ever-changing environment is proposed. It turns out that the coherent response consists of two parts: 1) a specific discrete pattern, called by the author homeostatic one, whose characteristics are robust to the statistics of the environment;2) the rest part of the response forms a stationary homogeneous process whose coarse-grained structure obeys universal distribution which turns out to be scale-invariant. It is demonstrated that, for relatively short time series, a measurement, viewed as a solitary operation of coarse-graining, superimposed on the universal distribution results in a rich variety of behaviors ranging from periodic-like to stochastic-like, to a sequences of irregular fractal-like objects and sequences of random-like events. The relevance of the Central Limit theorem applies to the latter case. Yet, its application is still an approximation which holds for relatively short time series and for specific low resolution of the measurement equipment. It is proven that the asymptotic behavior in each and every of the above cases is provided by the recently proven decomposition theorem.展开更多
Rational participants want to maximize their benefits.The protocol with rational participants will be more realistic than the protocol with honest,semi-honest and dishonest participants.We research the rational non-hi...Rational participants want to maximize their benefits.The protocol with rational participants will be more realistic than the protocol with honest,semi-honest and dishonest participants.We research the rational non-hierarchical quantum state sharing in this paper.General steps of some known quantum state sharing protocol are summarized.Based on these steps,a new rational protocol is proposed.It means that lots of common protocols could be modified to rational protocols.Our protocol is widely applicable.Analyses show that the proposed protocol is rational and secure.It is also all-win for agents.Furthermore,number of deceiving agents is considered to redefine the utilities of agents.展开更多
文摘A general operational protocol which provides permanent macroscopic coherence of the response of any stable complex system put in an ever-changing environment is proposed. It turns out that the coherent response consists of two parts: 1) a specific discrete pattern, called by the author homeostatic one, whose characteristics are robust to the statistics of the environment;2) the rest part of the response forms a stationary homogeneous process whose coarse-grained structure obeys universal distribution which turns out to be scale-invariant. It is demonstrated that, for relatively short time series, a measurement, viewed as a solitary operation of coarse-graining, superimposed on the universal distribution results in a rich variety of behaviors ranging from periodic-like to stochastic-like, to a sequences of irregular fractal-like objects and sequences of random-like events. The relevance of the Central Limit theorem applies to the latter case. Yet, its application is still an approximation which holds for relatively short time series and for specific low resolution of the measurement equipment. It is proven that the asymptotic behavior in each and every of the above cases is provided by the recently proven decomposition theorem.
文摘Rational participants want to maximize their benefits.The protocol with rational participants will be more realistic than the protocol with honest,semi-honest and dishonest participants.We research the rational non-hierarchical quantum state sharing in this paper.General steps of some known quantum state sharing protocol are summarized.Based on these steps,a new rational protocol is proposed.It means that lots of common protocols could be modified to rational protocols.Our protocol is widely applicable.Analyses show that the proposed protocol is rational and secure.It is also all-win for agents.Furthermore,number of deceiving agents is considered to redefine the utilities of agents.
