The possibilities multiply when you add the crucial missing ingredients— access to your own medical records and the ability easily to share information. 

参考译文：当您添加关键缺少的要素-访问您自己的医疗记录和轻松共享信息的能力时，可能性会成倍增加。

(1)the ability easily to share information.中的“副词easily”修饰不定式to share information.

(2)easily to share information 为动词不定式短语修饰前面的名词“the ability”

(3)easily 为副词作不定式to share information的方式状语

备注：谓语动词和非谓语动词都可以自带“状语”可以被作状语副词修饰，可以被作状语介词短语修饰等等

She learned English well(副词well修饰谓语动词learned）

She wants to learn English well（副词well修饰非谓语动词to learn)

To swim alone in the river is very dangerous.

独自在这条河里游泳是非常危险的。

(1)alone修饰不定式to swim作方式状语

(2)in the river修饰不定式to swim作地点状语

总结：副词和介词短语完全可以修饰动词不定式以及其它非谓语动词。