First, grease will NOT cause threaded fasteners to loosen! In fact, grease should be used on all threads to reduce friction and prevent seizing of the parts. Proper torque is what keeps the bolt or nut from coming loose in use and is actually a slight stretching of the materials which keeps a constant pressure on the threaded assembly.

Locking compounds (Loctite, etc.) can be used instead of grease but are better used on parts that may (for a variety of reasons) not be able to maintain adequate torque. Think of spoke nipples. These threaded fasteners hold the spokes only in tension so when the wheel rolls and each spoke at the bottom loses some tension, the nipples can loosen. These compounds act like glue. Some are applied to an already torqued fitting and seep in via capillary attraction, while the majority of them are applied like grease BEFORE the parts are assembled. Since they are glue-like they require some curing time before the assembly can be used.

Proper torque is essential. Experienced mechanics like Larry can secure steel fasteners into steel or aluminum threads strictly by feel but lighter materials such as titanium have far less strength and can easily be damaged or broken using the "feel" method. A quality adjustable torque wrench is essential when working with titanium and carbon fiber components. Another range of products, "anti-seize" materials, are best for titanium fasteners screwed into aluminum or carbon. "Anti-slip" compounds are useful on the surfaces of carbon tube assemblies like handlebar/stem or seatpost/frame-but not on the threaded parts.

Use a simple grease rather than a fancy, Teflon-fortified product. The high tech ones are fine for bearings and other places where you want the minimum of friction but for threads - and alloy seatposts they're overkill. With the seatposts super slippery grease can cause the post to slip no matter how tight the binder bolt is torqued.

Be extra careful with carbon parts. If, despite the proper torque and application of anti-slip compound, any carbon assembly refuses to stay in position, return it to the manufacturer for replacement, DO NOT attempt to put "just a bit more torque" on the fasteners in the way often done with steel or alloy components. This is a recipe for sudden, catastrophic failure.

One final note about carbon parts. Metals attached to them easily become like a "battery" when in contact with water and salt. Your sweat provides these elements. If it's not flushed away regularly, you'll begin to see whitish deposits in the areas where carbon and metal come in contact. Regular washing and rinsing with clear water will prevent this. Make sure your bike has a drain hole in the BB area to allow any water that gets inside (either from washing, riding in the rain or simple condensation) to escape.