Abstract
Two faithful quantum secure communication and authentication schemes based on Bell states and classical XOR operation are proposed, which withstand collective noises. The authentication and eavesdropping detection are completed by using logical decoy photons generating by previously shared identity string. The logical decoy photons are decoherence-free states over the two collective noisy channels respectively. The transmission of secret message is a one-time pad system, which guarantees the absolute security of secret message. Encoding secret message after particle transmission ensures the accuracy of secret message.
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