Quantum pattern recognition algorithm for two-qubit systems has been implemented by quantum adiabatic evolution. We will estimate required running time for this algorithm by means of an analytical solution of time- de...Quantum pattern recognition algorithm for two-qubit systems has been implemented by quantum adiabatic evolution. We will estimate required running time for this algorithm by means of an analytical solution of time- dependent Hamiltonian since the time complexity of adiabatic quantum evolution is a limitation on the quantum computing. These results can be useful for experimental implementation.展开更多
Bifurcation problems equivariant under the standard action of the orthogonal group O(n) up to O(n)-codimension 4 are classified into 19 classes. For each class the normal form and one universal unfolding are calculate...Bifurcation problems equivariant under the standard action of the orthogonal group O(n) up to O(n)-codimension 4 are classified into 19 classes. For each class the normal form and one universal unfolding are calculated and the recognition problem is solved.展开更多
In the Paper.the decision system,its classification,and its charchterizing description have been discussed.We Proposed a method of problem recognition,a method of problem description and a method of problem solving et...In the Paper.the decision system,its classification,and its charchterizing description have been discussed.We Proposed a method of problem recognition,a method of problem description and a method of problem solving etc.It is pointed out that the decision system can be classified into two kinds:open-loop decision system,and close-loop decision system,the difference between them are that there are functions of recognizing problem and tracking results in close-loop decision system.We believe that,he close-looP decision system should be researched into more deeply to enhance the effectiveness of decisionmaking and decision support.展开更多
文摘Quantum pattern recognition algorithm for two-qubit systems has been implemented by quantum adiabatic evolution. We will estimate required running time for this algorithm by means of an analytical solution of time- dependent Hamiltonian since the time complexity of adiabatic quantum evolution is a limitation on the quantum computing. These results can be useful for experimental implementation.
文摘Bifurcation problems equivariant under the standard action of the orthogonal group O(n) up to O(n)-codimension 4 are classified into 19 classes. For each class the normal form and one universal unfolding are calculated and the recognition problem is solved.
文摘In the Paper.the decision system,its classification,and its charchterizing description have been discussed.We Proposed a method of problem recognition,a method of problem description and a method of problem solving etc.It is pointed out that the decision system can be classified into two kinds:open-loop decision system,and close-loop decision system,the difference between them are that there are functions of recognizing problem and tracking results in close-loop decision system.We believe that,he close-looP decision system should be researched into more deeply to enhance the effectiveness of decisionmaking and decision support.