A METHOD AND SYSTEM FOR COMPARING TWO QUANTUM STATES

摘要

A method for comparing two quantum states comprises providing a first quantum state at a first node, transforming the first quantum state with a first plurality of unitary operations to obtain a first plurality of transformed quantum states, and measuring the first plurality of transformed quantum states with a first set of quantum measurements to obtain a first set of measurement results. The method further comprises providing a second quantum state at a second node, transforming the second quantum state with a second plurality of unitary operations to obtain a second plurality of transformed quantum states, wherein the second plurality of unitary operations corresponds to the first plurality of unitary operations, and measuring the second plurality of transformed quantum states with a second set of quantum measurements to obtain a second set of measurement results. The method further comprises determining a similarity measure between the first quantum state and the second quantum state in terms of the first set of measurement results and the second set of measurement results, wherein the similarity measure comprises a trace product of the first quantum state and the second quantum state.