No seriously, there is little to no speed difference in 32-bit vs 64-bit computing. The REAL benefit is the ability to address memory beyond 4GBs. But even the most high-end phones are stuck with 2GB... hell, a number of laptops are still shipping with 2GB of RAM. Let alone phones. The 64-bit "advantage" is almost entirely a marketing gimmick.
That said, it is a known fact that Apple's iPhone chip is leagues ahead of its competitors in terms of performance / watt. Qualcomm has a value buy with Snapdragon and their integrated LTE chip + FCC conformance. But Apple has full integration, and controls the software / hardware from bottom up. That is a real advantage that is leading to improved battery lives and faster performance.
(This is less an "Apple Advantage" and more of an "Android disadvantage". Android should be able to catch up if they got their act together... but the reliance on Dalvik-VM code and unoptimized APIs leads to noticeably worse battery life)
Beyond that, Apple is beginning to invest into state-of-the-art foundries, possibly to create chips in house by the year 2016 or 2017. They've also bought out the high-end 20nm wafers through 2014, forcing their competitors to lag behind on the older 28nm process nodes. (Hell, even AMD / NVidia are feeling the sting. All AMD / NVidia roadmaps to better GPUs are at 28nm technology... Only Intel: who has reached 14nm on their in-house labs, remains unaffected by Apple's purchasing power)
When your company has $100 Billion in cash, you can afford to have a process node advantage over your opponents.