God's existence may not be "required" for quantum mechanics, but for complex mathematical device programming, that's another matter altogether.
All life on Earth is formed via DNA. DNA is comprised of various parings of four root elements: A, C, G, and T components. In math, that's represented as A=0, C=1, G=2, and T=3. 0, 1, 2, 3. That's a mathematical Base 4 system.
These Base-4 groups form the genetic programming of every life form on Earth, wrapped in a physical Double-Helix structure/format. The Base-4 groups are most frequently seen in sub-groups (or sub-programs or sub-routines) known as genes.
These genes are often seen being reused, usually verbatim, in multiple species.
We see such similar programming code re-use in Man-made languages/programs, except that at its most basic point, Man's programming is Base-2 (AKA "binary"), an order of magnitude lower than the Base-4 coding seen in DNA.
The concept that programming an order of magnitude greater than Man's best software - could appear randomly (i.e., without the aid of an Intelligent Designer), is even more ludicrous than the notion that MicroSoft Windows, Linux, and AutoCad would spontaneously form from pure white noise if you left your computer on for several million years.
Quantum mechanics may or may not need a God to exist, but DNA coding was certainly done by someone smarter than we are today.
#3 is for you, too.
"The concept that programming an order of magnitude greater than Man's best software - could appear randomly (i.e., without the aid of an Intelligent Designer), is even more ludicrous than the notion that MicroSoft Windows, Linux, and AutoCad would spontaneously form from pure white noise if you left your computer on for several million years." -- SouthackAdd selection (i.e., users with needs and purposes who interact with the computer) and you will get Windows etc. in just a few short years. The codes evolved as did the languages and the hardware because there were strong selection pressures to increase computing power and complexity.
The Base-4 coding you refer to is misleading. DNA codons consists of four nucleotide bases taken three at a time. This gives 64 possible codons. There are 21 natural amino acids so the code is redundant.
DNA is a linear polymer. The sequence is clearly altered randomly in nature in a great variety of ways -- inversions, translocations, base pair substitutions, deletions, etc. DNA is even shared among widely different species by viral transduction. Bacteria typically acquire resistance to antibiotics through plasmid transfer from unrelated species. All of these phenomena prove that random change is inevitable on a vast scale and that Intelligent Design is an impossibility unless you want to allow that the Hidden Designer molds life by a process that looks exactly like natural selection.
Indeed! But if all terrestial living things are based on base 4 coding, in IMHO this does not necessarily suggests that all living things in the Universe are limited to a base 4 code. For all we know more advanced being in some corner of the Universe could be a base 6,8,.... How humbling, and profound, and thus God is indeed infinite.