I think the past-tense verb was in the first sentence ought to be changed to present tense is, to match the second sentence. (You could change the second sentence to past-tense instead, if you prefer, although that would suggest this invention doesn’t exist/isn’t used anymore.)
Electrodes is the wrong word, but whatever… I am not here to remedy your scientific ignorance (or rather, I don’t feel like doing it every time something science-related comes up).
Delete the quotation marks in the second sentence.
Add a comma after Silent Talk. (Also consider whether Silent Talk needs to be capitalized. New science/tech discoveries sometimes are — remember, kids, that it used to be correct to capitalize internet — but not always.)
Add a period to the end of the sentence.
Telepathic communication is possible between people equipped with implanted electrodes. Using something called Silent Talk, soldiers are able to communicate on the battlefield by thought alone.
This is not telepathy, by the way. Telepathy would be doing it without the tech.