Even though Cubic Zirconia (CZ) is much cheaper than the real diamond. However the proper care can definitely prolong the brilliance of CZ.
CZ jewelry can be cleaned with any conventional jewelry cleaner or detergent. With such a high hardness and durability, you can use a brush to clean off dirt or oil also. Ultra sonic jewelry cleaners may also be used on CZ jewelry and will not damage the stone. However, when using soaps or detergents to clean CZ, one should wipe the jewelry dry thoroughly to avoid residue from the soap leaving a film that will dull the brilliance of the stone. Cubic Zirconia should be cleaned frequently to remove oils from skin that also dull the brilliance of the gem.