The warp speed technology is currently in theoretical stage.
The hyperspeed technology got passed in testing on proving ground passed in Australia last spring. Next year or so, they will be tried in trial runs.
The transporter technology is currently tested by several universities in Switzerland, US, UK and a few other countries.
The anti-gravity technology is being researched heavily by universities, NASA, ESA and several private companies.
The anti-matter/matter technology is also heavily researched by universities, NASA, other space agencies and private companies.
The nanotechnology is heavily tested and researched by private companies and universities.
You can see that those technologies are key to our dreams to reach other solar systems beyond our own solar system, Sol and someday we will be able to fly to reach those destinations. We can learn infinitely from those new solar systems and even the materials there could help us to advance on our medical, scientific, technological and educational areas beyond our wildest expectations.