A daily flight will be operated from Doha to Heathrow from 13th December, 2013. It arrives at Heathrow at 1105, and departs at 1505.
Qatar are currently flying their aircraft, which was delivered recently, on short flights to Dubai and Kuwait to aid in crew familiarisation. London will be the first long haul destination the type flies on.
To keep up to date with the routes airlines will be flying their 787 Dreamliners on, check out the Boeing 787 Routes page, which is updated regularly!