Quantum Coherence Witness with Untrusted Measurement Devices
arXiv:1908.05022 · doi:10.1103/PhysRevLett.123.090502
Abstract
Coherence is a fundamental resource in quantum information processing, which can be certified by a coherence witness. Due to the imperfection of measurement devices, a conventional coherence witness may lead to fallacious results. We show that the conventional witness could mistake an incoherent state as a state with coherence due to the inaccurate settings of measurement bases. In order to make the witness result reliable, we propose a measurement-device-independent coherence witness scheme without any assumptions on the measurement settings. We introduce the decoy-state method to significantly increase the capability of recognizing states with coherence. Furthermore, we experimentally demonstrate the scheme in a time-bin encoding optical system.
arXiv comment13 pages, 7 figures, including Supplemental Material, accepted for publication in Physical Review Letters
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