![]() c, d Precession by an angle Φ (left column) and the measurement-induced dephasing (right column), shown as evolution from dotted arrows to solid ones. A projective measurement on the sensor along the y-axis constitutes a weak measurement of the target spin. By the control-phase gate, the sensor spin precesses about the z-axis by opposite angles for opposite target states ± X. The sensor is initialized along the x-axis. b The sensor-assisted weak measurement ( M ^) of the target spin. The correlation between different measurements on the sensor, e.g., the k-th and the ( k+ N)-th ones, reflects the spin dynamics. If the measurement result is discarded, the target spin experiences measurement-induced dephasing along the X-axis. a The target spin is partially polarized along X or − X depending on the k-th measurement result of the sensor spin, then undergoes free precession about the Z-axis. weak measurement of a target spin via projective measurement of a sensor spin. 11 Max Planck Institute for Solid State Research, Stuttgart, 70569, Germany. 10 3rd Institute of Physics, Research Center SCoPE and IQST, University of Stuttgart, 70569, Stuttgart, Germany. 9 Department of Physics & Centre for Quantum Coherence, The Chinese University of Hong Kong, Shatin, New Territories, China.8 Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, 305-8573, Japan. ![]() 7 Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China.6 Max Planck Institute for Solid State Research, Stuttgart, 70569, Germany.5 Takasaki Advanced Radiation Research Institute, National Institutes for Quantum and Radiological Science and Technology, Takasaki, 370-1292, Japan.4 Sumitomo Electric Industries Ltd., Itami, 664-0016, Japan.3 Department of Physics & Centre for Quantum Coherence, The Chinese University of Hong Kong, Shatin, New Territories, China.2 Beijing Computational Science Research Center, Beijing, 100193, China.1 3rd Institute of Physics, Research Center SCoPE and IQST, University of Stuttgart, 70569, Stuttgart, Germany.
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