This study examines the interaction between artificial intelligence (AI) and quantum technologies, analyzing their evolutionary dynamics using a technometric model based on scientific and technological information (publications and patents). The findings show that while quantum technology has a growth rate of 1.07, AI technology has a rate of 1.37, the combined interaction of these technologies exhibits an accelerated growth rate of 1.58, higher than the individual rates. This suggests that the interaction between AI and quantum technologies is a fundamental driver of rapid technological evolution and disruptive innovations. The study's implications include: 1. **Accelerated Evolution**: The interaction between AI and quantum technologies leads to accelerated evolutionary growth. 2. **Allometric Growth**: There is a disproportionate (allometric) growth of patents driven by publications, indicating a strong relationship between scientific production and technological advancements. The study supports policy and managerial implications for policymakers, technology analysts, and R&D managers, emphasizing the importance of directing R&D investments towards inter-related radical technologies to foster scientific and technological change with positive societal and economic impacts. The results highlight the need for more detailed research into the role of technological interaction and convergence to clarify their evolutionary pathways and reduce innovation failure.This study examines the interaction between artificial intelligence (AI) and quantum technologies, analyzing their evolutionary dynamics using a technometric model based on scientific and technological information (publications and patents). The findings show that while quantum technology has a growth rate of 1.07, AI technology has a rate of 1.37, the combined interaction of these technologies exhibits an accelerated growth rate of 1.58, higher than the individual rates. This suggests that the interaction between AI and quantum technologies is a fundamental driver of rapid technological evolution and disruptive innovations. The study's implications include: 1. **Accelerated Evolution**: The interaction between AI and quantum technologies leads to accelerated evolutionary growth. 2. **Allometric Growth**: There is a disproportionate (allometric) growth of patents driven by publications, indicating a strong relationship between scientific production and technological advancements. The study supports policy and managerial implications for policymakers, technology analysts, and R&D managers, emphasizing the importance of directing R&D investments towards inter-related radical technologies to foster scientific and technological change with positive societal and economic impacts. The results highlight the need for more detailed research into the role of technological interaction and convergence to clarify their evolutionary pathways and reduce innovation failure.