Earlier this month Battlefield: Bad Company 2 and Battlefield 3 received backwards compatibility on Xbox One. Now they're both available on EA Access, the £3.99 a month service exclusive to Xbox One that grants players unlimited access to various EA titles.
EA noted on Twitter that the new games are slowly rolling out, so if it doesn't show up in the vault for you yet, don't panic.
When asked about whether these titles would come to the publisher's similar program on PC, Origin Access, EA said "EA Access has been tailor made for the Xbox One console. We have nothing to announce for other platforms at this time."
It's worth noting that players are only getting the base version of Battlefield 3, not the Premium edition with all the bonus goodies as they did with Battlefield 4 on the same service.