Quantum cryptographyQuantum cryptography has developed someQuantum asymmetric encryption fundamental primitives such as quantum one-time padQuantum One-Time Pad (QOTP) and quantum indistinguishabilityIndistinguishability security. Compared with symmetric encryptionSymmetric encryption in quantum cryptographyQuantum cryptography, quantum asymmetric encryptionQuantum asymmetric encryption based on quantum obfuscationQuantum obfuscation attracts less attention and is still in its infancy due to its difficulty in implementation and application. In this chapter, we provide two quantum asymmetric encryptionQuantum asymmetric encryption schemes based on quantum obfuscationQuantum obfuscation. These schemes not only achieve indistinguishabilityIndistinguishability security without classical cryptography, but also solve the problem of key management in symmetric encryptionSymmetric encryption.