Two-qubit pure state tomography by five product orthonormal bases*

Project supported partially by the National Key Research and Development Program of China (Grant No. 2016YFB1000902), the National Natural Science Foundation of China (Grant No. 61472412), and the Program for Creative Research Group of the National Natural Science Foundation of China (Grant No. 61621003).

Wang Yu1, 2, Shang Yun1, 2, 3, 4, †
       

Circuit for the projective measurement onto . Let the unknown two-qubit pure state be |ϕ⟩. We directly measure each qubit with the projective measurement {|0⟩⟨0|, |1⟩⟨1|}. The state would collapse to |00⟩, |01⟩, |10⟩, or |11⟩.