Quantum Deletion of Copies of Two Non-orthogonal Quantum States via Weak Measurement
Wei-Min Shang1, Jie Zhou1, Hui-Xian Meng2, Jing-Ling Chen1**
1Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071 2School of Mathematics and Physics, North China Electric Power University, Beijing 102206
Abstract：We propose a scenario to increase the probability of probabilistic quantum deletion and to enhance the fidelity of approximate quantum deletion for two non-orthogonal states via weak measurement. More interestingly, by pretreating the given non-orthogonal states, the probability of probabilistic quantum deletion and fidelity of approximate quantum deletion can reach 1. Since outcomes of the weak measurement that we required are probabilistic, we perform the subsequent deleting process only when the outcome of weak measurement is "yes". Remarkably, we find that our scenario has better performance in quantum information process; for example, it costs less quantum resources and time.
2020, Vol. 37 
