In this work, we show that measurement in quantum 2-design, such as mutually unbiased bases (MUBs) or
symmetric, informationally complete states (SICs), improves the capability of detecting entangled states both
theoretically and experimentally. On the theoretical side, we show that measurement in quantum 2-design can
detect entangled states twice compared to entanglement witnesses. On the implementation side, we present the
scheme of entanglement detection with two detectors only of a Hong-Ou-Mandel interferometer. The experimental
scheme applies single-copy level measurement followed by post-processing of measurement outcomes, which
is feasible with current technologies.
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