Philips Hue Play White and Colour Ambiance Smart Light Bar Extension, Entertainment Lighting for TV and Gaming - £35.99 @ Amazon

You need two additional things for this to work:
* The Hue bridge (if you already have Hue lights you probably have this)
* A power adaptor (if you have the non-extension light bar, they come with a power adaptor with spare slots)

The power plug supports up to 3 devices, they all act independently (you can buy clone power plugs on amazon)

you can program all lights in a room or a selection of lights a single colour or selection of colours, that 'colour' can be assigned to a hue switch (edited)

I use mine to do exactly that. You just need a bridge. My TV is ambilight + hue and works well with two of these set as extensions. You even select where they are in relation to the tv to replicate the colours better. Very smart integration, works seamlessly. Can even control them with your tv remote!

Sorry couldn't resist

A Hue hub and a smart andriod or apple tablet/phone to run the Hue App

No, pretty certain its a different socket... actually just checked, the socket looks the same, although can't tell if the power is different, might work. Reddit might be a good place for confirmation. (edited)

Can't see why not, looking at comparisons, only mentions Homekit support in 2.0, and compatibility with some devices (Hue Sync?), as this is pretty much a bog standard light, I can't see why it wouldn't work.

£59.99 on the hue website

dont you tell the sync box the postion of the lights and it changes them accordingly ?

Oh, I have no idea mate, sorry

Thanks Mr Snitch, or is it Mrs Nitch?