Operational Resource Theory of Imaginarity

نویسندگان

چکیده

Wave-particle duality is one of the basic features quantum mechanics, giving rise to use complex numbers in describing states systems, their dynamics, and interaction. Since inception theory, it has been debated whether are actually essential, or an alternative consistent formulation possible using real only. Here, we attack this long-standing problem both theoretically experimentally, powerful tools resource theories. We show that - under reasonable assumptions easier create manipulate if they only have elements. This gives operational meaning theory imaginarity. identify answer several important questions which include state-conversion for all qubit pure any dimension, approximate imaginarity distillation states. As application, plays a crucial role state discrimination: there exist can be perfectly distinguished via local operations classical communication, but cannot with nonzero probability parties no access confirm phenomenon experimentally linear optics, performing discrimination different two-photon by projective measurements. These results prove indispensable part mechanics.

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ژورنال

عنوان ژورنال: Physical Review Letters

سال: 2021

ISSN: ['1079-7114', '0031-9007', '1092-0145']

DOI: https://doi.org/10.1103/physrevlett.126.090401