Publicación: ESTIMATION OF PURE STATES USING THREE MEASUREMENT BASES
Fecha
2020
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Physical Review Applied
Resumen
WE INTRODUCE A METHOD TO ESTIMATE UNKNOWN PURE
D-DIMENSIONAL QUANTUM STATES USING THE PROBABILITY DISTRIBUTIONS ASSOCIATED WITH ONLY THREE MEASUREMENT BASES. THE MEASUREMENT RESULTS OF 2D PROJECTORS ARE USED TO GENERATE A SET OF 2 D-1 STATES, THE VALUE OF THE LIKELIHOOD FUNCTION OF WHICH IS EVALUATED USING THE MEASUREMENT RESULTS OF THE REMAINING D PROJECTORS. THE STATE WITH THE HIGHEST VALUE OF THE LIKELIHOOD FUNCTION IS THE ESTIMATE OF THE UNKNOWN STATE. THE METHOD ESTIMATES ALL PURE STATES EXCEPT FOR A NULL-MEASURE SET, WHICH CAN BE OVERCOME BY ADAPTING TWO BASES. THE VIABILITY OF THE PROTOCOL IS EXPERIMENTALLY DEMONSTRATED USING TWO DIFFERENT AND COMPLEMENTARY HIGH-DIMENSIONAL QUANTUM INFORMATION PLATFORMS. FIRST, BY EXPLORING THE PHOTONIC PATH-ENCODING STRATEGY, WE VALIDATE THE METHOD ON A SINGLE EIGHT-DIMENSIONAL QUANTUM SYSTEM. THEN, WE RESORT TO THE FIVE-SUPERCONDUCTING-QUBIT IBM QUANTUM PROCESSOR TO DEMONSTRATE THE HIGH PERFORMANCE OF THE METHOD IN THE MULTIPARTITE SCENARIO.
