This is pretty much exactly what’s being proposed. A “scan-tron” type of voting where you fill in the bubble and your ballot is counted electronically, with the original paper kept under lock and key for auditing.
Beyond that, and also extremely important, is standardized auditing of all elections. Depending on how close an election was, these audits would count more or fewer ballots to come up with a statistically defensible certification of all elections.
There are a number of misconceptions in these comments. I highly recommend reading the Ars Technica article that Cory linked. This is a great bill, and we should all press our representatives to pass it, as soon as possible.
