Abstract: A quantum circuit of Coiflet'C6 wavelet transform includes a B quantum circuit, a Q2n·Q2n quantum circuit, and an A quantum circuit. The B quantum circuit is configured to receive a first part of data of n-dimension and generate a first intermediate result. The Q2n·Q2n quantum circuit is configured to receive a second part of the data and generate a first result. The Q2n·Q2n quantum circuit is coupled to the B quantum circuit to receive the first intermediate result and generate a second intermediate result. The A quantum circuit is coupled to the Q2n·Q2n quantum circuit to receive the second intermediate result and generate a second result. The present disclosure also proposes a manufacturing method of a Coiflet'C6 wavelet transform quantum circuit and a Coiflet'C6 wavelet inverse transform quantum circuit.

Abstract: A quantum circuit for Daubechies-6 wavelet transform includes: a B quantum circuit configured to receive a first part of n-dimensional data and generate a first intermediate result; a Q2n·Q2n quantum circuit configured to receive a second part of the n-dimensional data, and the Q2n·Q2n quantum circuit coupled to the B quantum circuit to receive the first intermediate result, and the Q2n·Q2n quantum circuit generating a second intermediate result corresponding to the first intermediate result and a first result corresponding to the second part; and an A quantum circuit coupled to the Q2n·Q2n quantum circuit to receive the second intermediate result and to generate a second result according to the second intermediate result. The present disclosure further discloses a manufacturing method of a quantum circuit for Daubechies-6 wavelet transform and a quantum circuit for Daubechies-6 wavelet inverse transform corresponding to the aforementioned quantum circuit for Daubechies-6 wavelet transform.

Abstract: A network topology system comprises a plurality of nodes, each of the plurality of nodes having a set of connection rules which is built by the steps of: generating a series of prime number differences; generating a series of communication strategy numbers; extracting as many terms as the number of connecting nodes from a recursive sequences to serve as an index series; generating a series of connection strategy numbers by extracting the Nth terms from the series of communication strategy numbers, wherein N stands for each number of the index series; and generating a series of connecting nodes numbers by calculating the sum of each odd number and each term of the series of connection strategy numbers so as to build the connection rules for each odd-numbered node to connect the nodes numbered in corresponding with the numbers of the connecting nodes number series.

Abstract: A network topology system comprises a plurality of nodes, each of the plurality of nodes having a set of connection rules which is built by the steps of: generating a series of prime number differences; generating a series of communication strategy numbers; extracting as many terms as the number of connecting nodes from a recursive sequences to serve as an index series; generating a series of connection strategy numbers by extracting the Nth terms from the series of communication strategy numbers, wherein N stands for each number of the index series; and generating a series of connecting nodes numbers by calculating the sum of each odd number and each term of the series of connection strategy numbers so as to build the connection rules for each odd-numbered node to connect the nodes numbered in corresponding with the numbers of the connecting nodes number series.

Abstract: A method to generate random and density controllable dot patterns on an optical device includes steps of dividing a 2D domain into multiple cell units; determining dot density in each cell; creating at random initial location of dots in each cell; solving the force operation cut radius of the dot; setting up a residual force; solving the force control parameter in the cell; performing the force operation for the cell; making the dots in the cell to achieve balanced positions after repeated operation; completing the generation of a dot pattern within a 2D domain; and transferring the dot pattern to the optical device by a transfer printing equipment.

Abstract: A method to generate random and density controllable dot patterns on an optical device includes steps of dividing a 2D domain into multiple cell units; determining dot density in each cell; creating at random initial location of dots in each cell; solving the force operation cut radius of the dot; setting up a residual force; solving the force control parameter in the cell; performing the force operation for the cell; making the dots in the cell to achieve balanced positions after repeated operation; completing the generation of a dot pattern within a 2D domain; and so transferring the dot pattern to the optical device by a transfer printing equipment.

Abstract: A method to generate random and density controllable dot patterns includes steps of dividing a 2D domain into multiple cell units; determining dot density in each cell; creating at random initial location of dots in each cell; solving the force operation cut radius of the dot; setting up a residual force; solving the force control parameter in the cell; performing the force operation for the cell; making the dots in the cell to achieve balanced positions after repeated operation; and completing the generation of a dot-pattern within a 2D domain.