In reply to pasbury:
I'd echo this advice in my (albeit limited) experience. The experienced winter climber / walker will probably be fine without a rope or a rack.
However, for the more nervous / inexperienced there would certainly be no harm in taking a dry treated rope (a half rope should be fine for scrambling terrain IMHO, however be advised that they are not certified for this) and a light rack (6 or so wires, a couple of larger hexes and a selection of slings) may be helpful for safeguarding the odd step. It may be handy to carry a small rope regardless. I often carry a 30m Beal Iceline half rope when winter scrambling. Assuming you know how, this can be used if one needs to retreat and where the odd step may be difficult to down climb. I will also allow you to safeguard a party member if someone has a bit of a wobbly, or one comes across someone who has run into trouble.
Oh and bring a helmet regardless, traumatic brain injury is no laughing matter, but I'm a bit biased on this point due to an accident early in my climbing career.