Phys.org has the article Physicists reverse time using quantum computer.

As I learned in college physics, if you think you have found a violation of the second law of thermodynamics, you have probably ignored an external force that caused the seeming violation. It seems so obvious in this story.

they examined a solitary electron in empty interstellar space.

they examined a solitary electron in empty interstellar space.

Although this phenomenon is not observed in nature, it could theoretically happen due to a random fluctuation in the cosmic microwave background permeating the universe.

Seems like that “empty space” wasn’t so empty after all. That empty space contained exactly the force that could make a seeming violation of the second law.