What you are referring to is the notion of "creation ex nihilo" or creation "out of" nothing. This can have two meanings:
1) An entity comes into existence with no cause, caused by "nothing"
2) An entity comes into existence without any change involving a preexisting matter.
The first notion is an absurdity. "From nothing, nothing comes." "Nothing" is the absence of an entity. It is a logical negation, which is an act of the mind that does not correspond to a "real entity" that is external to the mind. It "exists" only in a logical mode, not a real mode. So nothing can come into being "from nothing"
If we try to claim that this is a merely grammatical point, and that are merely denying that the coming-into-being of a thing has a cause, we run into an insurmountable problem, and that is we are claiming that a thing can be both in potency and in act in the same way at the same time. Specifically we are claiming that a being can exist potentially but at the same time can be the act of its own existence. This is equivalent to saying that it gives itself being, but as the Medieval dictum goes, "nothing gives what it doesn't have." We are also attempt to attribute an act or an event as if it can exist in itself -- that is, we are claiming that an act can exist without an actor. This is what is known in analytic philosophy as a "category error," mixing ontological apples with oranges.
Despite the use of sleight-of-hand reasoning by physicists such as Lawrence Krauss, there is no coherent theory in physics that makes the claim of "something coming into being out of nothing." In fact, if anyone were to make such a claim, it wouldn't be a physics theory at all, but an incoherent philosophical claim. The Big Bang theory does not make such a claim, and neither does quantum cosmology, which does posit an entity that acts as a cause of the matter of the universe.
The second notion of creation ex nihilo is the one embraced by Christians, Jews, and Muslims. It involves an ontologically infinite and non-contingent being, which is called "God," that causes the existence of everything else, which are all finite entities whose existence is contingent upon God. God is defined as a being whose essence and existence are the same thing -- that is, it is the nature of God to exist, and therefore he requires no creator. The only such being would be one that could be said to be "being itself," that is, an ontologically infinite being that is not restricted in any way, because if it were, it would not be "being itself" but would simply be "a being" among other beings. God, therefore, is ontologially infinite and exists essentially rather than contingently, and he is the necessary cause of all finite (and therefore contingent) beings. Given that God causes every finite thing to exist, including matter, he does not create things out of a pre-existing matter. In this sense, God creates "out of nothing" (out of no pre-existing matter).