Robust Anti-Collective Noise Quantum Secure Direct Dialogue Using Logical Bell States

In this paper we propose two quantum secure direct dialogue (QSDD) schemes with logical Bell states which can resist collective noise. The two users Alice and Bob encode their secret messages with the help of unitary operations. Compared with many quantum secure direct communication (QSDC), there is no strict information sender and receiver in these schemes, one logical Bell state can be operated twice by Alice and Bob based on what messages they prefer to encode. As a result, the two users are able to share their messages mutually, so the efficiency of communication is improved. By rearranging the order of particles and inserting decoy photons, our protocols are able to avoid the information leakage and detect eavesdropping, and they can be proved to have unconditional security.