Publicación: CERTIFYING AN IRREDUCIBLE 1024-DIMENSIONAL PHOTONIC STATE USING REFINED DIMENSION WITNESSES
Fecha
2018
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PHYSICAL REVIEW LETTERS
Resumen
WE REPORT ON A NEW CLASS OF DIMENSION WITNESSES, BASED ON QUANTUM RANDOM ACCESS CODES, WHICH ARE A FUNCTION OF THE RECORDED STATISTICS AND THAT HAVE DIFFERENT BOUNDS FOR ALL POSSIBLE DECOMPOSITIONS OF A HIGH-DIMENSIONAL PHYSICAL SYSTEM. THUS, IT CERTIFIES THE DIMENSION OF THE SYSTEM AND HAS THE NEW DISTINCT FEATURE OF IDENTIFYING WHETHER THE HIGH-DIMENSIONAL SYSTEM IS DECOMPOSABLE IN TERMS OF LOWER DIMENSIONAL SUBSYSTEMS. TO DEMONSTRATE THE PRACTICABILITY OF THIS TECHNIQUE, WE USED IT TO EXPERIMENTALLY CERTIFY THE GENERATION OF AN IRREDUCIBLE 1024-DIMENSIONAL PHOTONIC QUANTUM STATE. THEREFORE, CERTIFYING THAT THE STATE IS NOT MULTIPARTITE OR ENCODED USING NONCOUPLED DIFFERENT DEGREES OF FREEDOM OF A SINGLE PHOTON. OUR PROTOCOL SHOULD FIND APPLICATIONS IN A BROAD CLASS OF MODERN QUANTUM INFORMATION EXPERIMENTS ADDRESSING THE GENERATION OF HIGH-DIMENSIONAL QUANTUM SYSTEMS, WHERE QUANTUM TOMOGRAPHY MAY BECOME INTRACTABLE.
