A quantum reference frame is a reference frame which is treated quantum theoretically. It, like any reference frame, is a physical system which defines physical quantities, such as time, position, momentum, spin, and so on. Because it is treated within the formalism of quantum theory, it has some interesting properties which do not exist in a normal classical reference frame.
Read more about Quantum Reference Frame: Reference Frame in Classical Mechanics and Inertial Frame, Quantum Reference Frame
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—Lillian Smith (1897–1966)