Reducing the control error is vital for high-fidelity digital and analog quantum operations.In superconducting circuits,one disagreeable error arises from the reflection of microwave signals due to impedance mismatch ...Reducing the control error is vital for high-fidelity digital and analog quantum operations.In superconducting circuits,one disagreeable error arises from the reflection of microwave signals due to impedance mismatch in the control chain.Here,we demonstrate a reflection cancelation method when considering that there are two reflection nodes on the control line.We propose to generate the pre-distortion pulse by passing the envelopes of the microwave signal through digital filters,which enables real-time reflection correction when integrated into the field-programmable gate array(FPGA).We achieve a reduction of single-qubit gate infidelity from 0.67%to 0.11%after eliminating microwave reflection.Real-time correction of microwave reflection paves the way for precise control and manipulation of the qubit state and would ultimately enhance the performance of algorithms and simulations executed on quantum processors.展开更多
China’s natural gas market is focusing on price reform and aims to reconstruct vertically integrated industrial chains in the future.Based on the mixed complementarity problem model of gas markets with nodes in Henan...China’s natural gas market is focusing on price reform and aims to reconstruct vertically integrated industrial chains in the future.Based on the mixed complementarity problem model of gas markets with nodes in Henan Province,China,as an example,this paper applies numerical modeling to simulate the effects of social welfare and equilibrium prices on nodes in two scenarios:pipeline integration and pipeline separation.The findings reveal the following:(1)Pipeline separation yields greater overall social welfare than pipeline integration,with the welfare shifting from gas producers to consumption markets.(2)Pipeline separation lowers the equilibrium consumption prices by driving competition among gas supply sources.(3)Pipeline separation will increase the contribution of natural gas to primary energy.展开更多
基金the National Natural Science Foun-dation of China(Grant Nos.12034018 and 11625419).
文摘Reducing the control error is vital for high-fidelity digital and analog quantum operations.In superconducting circuits,one disagreeable error arises from the reflection of microwave signals due to impedance mismatch in the control chain.Here,we demonstrate a reflection cancelation method when considering that there are two reflection nodes on the control line.We propose to generate the pre-distortion pulse by passing the envelopes of the microwave signal through digital filters,which enables real-time reflection correction when integrated into the field-programmable gate array(FPGA).We achieve a reduction of single-qubit gate infidelity from 0.67%to 0.11%after eliminating microwave reflection.Real-time correction of microwave reflection paves the way for precise control and manipulation of the qubit state and would ultimately enhance the performance of algorithms and simulations executed on quantum processors.
基金support provided by the National Natural Science Foundation of China under Grant Nos.71673257 and 71804167.
文摘China’s natural gas market is focusing on price reform and aims to reconstruct vertically integrated industrial chains in the future.Based on the mixed complementarity problem model of gas markets with nodes in Henan Province,China,as an example,this paper applies numerical modeling to simulate the effects of social welfare and equilibrium prices on nodes in two scenarios:pipeline integration and pipeline separation.The findings reveal the following:(1)Pipeline separation yields greater overall social welfare than pipeline integration,with the welfare shifting from gas producers to consumption markets.(2)Pipeline separation lowers the equilibrium consumption prices by driving competition among gas supply sources.(3)Pipeline separation will increase the contribution of natural gas to primary energy.
