Europe is definitely far behind in tech (computers) and basically non-existent in AI. Essentially the only two AI EU companies who are worth anything interesting are Mistral (a startup of 18 people doing fundamental research) and Helsing which is part German, part UK (a Palantir European version). There are dozens of US equivalents of them, not including the big tech companies.
What is worse for EU is that even big tech companies who have presence in Europe are mostly in UK and Switzerland. Google has the European headquarters in Zurich, DeepMind is in London, Meta’s biggest offices are in London and Zurich, Nvidia’s biggest is in Zurich, Microsoft’s biggest European office is in Cambridge. The cool fundamental research companies like OpenAI and Anthropic are opening their second offices in London. From Chinese ones, Bytedance has presence only in London, while Huawei is pretty much anywhere in Europe (Alibaba and Tencent have no presence in Europe). So for reasons, US companies are not that much focused in the EU. There are some European big companies who have started doing some AI research like Airbus, Siemens/Bosch, VW but they are not even players (as a personal anecdote, in my last job search I applied to Airbus as a safe option just in case I fail everywhere else, and yes, it was that easy to get in).
In general, I am for heavy regulations in AI, and for them to be as strict as possible, cause I genuinely believe that this discovery will decide the future of humanity. But EU should care much more for innovation rather than regulation. They are orders of magnitudes behind the US and China in AI field, EU’s strongest country Germany is below UK, and probably below Israel and Switzerland in the field. Even UAE is starting to produce better AI research than EU, Saudi Arabia is also entering the game, but EU is sleeping on this. So they can regulate all they want, but if they have nothing to show in innovation, there is not much they can do. They do not have a significant influence over the US and China’s companies which are the ones who lead the innovation.
Talking about regulation, at the contrary, I think that the US and China should go heavy in regulation (and in an ideal world, collaborating). I think it is a very hard field to regulate though for two reasons: 1) no one really understand how these models really work, 2) for any regulation to be worth it, you need deep expertise. Good engineers/researchers are paid 300-500k/year, great ones twice as much, so very hard to attract talent to work for the government where it does not pay near as much.