Consider though that the organic matter will decompose more readily when you introduce it to the soil - turning it and mixing it in. Unless there is a reason to have the compost separate (reducing weed seed population present in the organic matter that you’re using), putting compost directly where (and mixing it in) you want it, where your garden is rather than a separate compost heap - saves the labor of the double handling. And more.
The best structural and nutritional soil contains organic matter in various stages of decomposition. The plants can simply derive their soil nutrients from a chemical medium, but the healthy fungi and bacteria in a soil will increase the surface area avail for plants roots to gather nutrients - linking up with those organisms in a symbiotic relationship.
Also, a little tidbit about humus, the product of organic decay in soil… there is something called cation exchange, which in this horticultural case is the soils ability to hold nutrients through naturally occurring electrical charges. It helps resist the nutrients from being leached and rinsed through the soil. Clay has a high cation exchange rate, is good for holding nutrients, it just does not hold much air at the same time. A soil needs a proper ratio of air to water/nutrient solution for the plants to grow well. Although above ground plants parts use CO2, plant roots need oxygen. So clay particles alone, although are great at holding nutrients, do not maintain a good air ratio.That is the problem with clay, no air. Imagine the clay particles like a deck of cards stuck together, you need to put particles between the clay. The best way to do this is with addition of organic matter. Sand can be hauled in but is too physically heavy for its good, and offers no nutritional value like organic material.
Back to humus, the sticky black dirt byproduct of the rotted leaves and organic matter. Humus not only encourages organisms to populate the soil which then act as mini rototillers, tilling and introducing air into the soil, but humus has approximately 10fold the cation exchange rate than clay particles.
Anyways, there is no faster way for organic matter to decompose than mixing it right into the ground, soil particles surround the organic matter with moisture and esp beneficial bacteria and fungi that will greatly speed up decomposition. and it makes sense from several standpoints to do this and make your compost pile the garden and not a separate spot.
One good reason for a compost pile is to try to deal with organic material that contains weed seeds. Composting can help reduce, or if done right, eliminate weed seeds. But if your organic matter is relatively free of weed seeds, ask yourself why you might benefit from having separate compost pile, rather than making your garden the compost pile (sheet composting) and mixing the organic matter directly where the plants are or will be growing. Organic matter will give you the best benefit when decomposing right in your garden dirt, save you the step of double handling, and will rot very quickly when mixed in the ground. So it depends on what you want to do. If you want to have popcorn 8.5 feet tall like mine, and tomatoes plants spilling over 5 foot fences, consider that plants can only take up so much nutrients at once. If other growth conditions are good, the bacteria and fungus present in soil, a product of the rotting organic matter, will increase many fold the plant roots’ ability to link up with and absorb nutrients from soil.