Conscious AI hypothetical

Suppose we have a conscious computer program; a program which, when executed, is conscious. We save the memory states and IO from the program at every stage of its execution, and then replay each state, one by one, on a second computer, without actually executing the program. Is the second computer conscious too?

In other words, if a computer is conscious, does its consciousness derive from the instructions it executes, or from the series of states it transitions between?

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A pattern of electrons on electrical components is memory.
A relational configuration of cells is memory.
Footprints in the sand are memory.
A state of the universe is memory.

You teach the sand by walking upon it.
You teach and learn from the universe by living within it.