Fake one-time pad cannot be used to improve the efficiency of quantum   communication
  Two misuses of one-time pad in improving the efficiency of quantum communication are pointed out. One happens when using some message bits to encrypt others, the other exists because the key bits are not truly random. Both of them result in the decrease of security. Therefore, one-time pad should be used carefully in designing quantum communication protocols. 
Fei Gao, Su-Juan Qin, Qiao-Yan Wen, Fu-Chen Zhu