1. An apparatus comprising: a volatile system memory; a nonvolatile memory; a processor to operate according to an operating system, the processor to transition the apparatus from an operational power state to a first reduced power state upon receipt of a request, the transition to the first reduced power state including the processor to store context data for the apparatus in the volatile system memory; and power management logic to transition the apparatus from the first reduced power state to a second reduced power state, the power management logic to copy the context data from the volatile system memory to the nonvolatile memory for the transition to the second reduced power state, wherein the copying of the context data includes the power management logic to: scan the volatile system memory to locate non-active memory elements in the volatile system memory, build a zero page filter of the non-active memory elements in the volatile system memory, eliminate the non-active memory elements from the volatile system memory based on the zero page filter to generate compressed context data, store the compressed context data and the zero page filter in the nonvolatile memory, and place the apparatus in the second reduced power state upon completion of storing the compressed context data and the zero page filter.