Small Pseudo-random Families of Matrices: Derandomizing Approximate Quantum Encryption

A quantum encryption scheme (also called private quantum channel, or state randomization protocol) is a one-time pad for quantum messages. If two parties share a classical random string, one of them can transmit a quantum state to the other so that an eavesdropper gets little or no information about the state being transmitted. Perfect encryption schemes leak no information at all about the message. Approximate encryption schemes leak a non-zero (though small) amount of information but require a shorter shared random key. Approximate schemes with short keys have been shown to have a number of applications in quantum cryptography and information theory [8]. This paper provides the first deterministic, polynomial-time constructions of quantum approximate encryption schemes with short keys. Previous constructions [8] are probabilistic—that is, they show that if the operators used for encryption are chosen at random, then with high probability the resulting protocol will be a secure enc...

• Type: Conference
• Year: 2004
• Where: APPROX
• Authors: Andris Ambainis, Adam Smith
• Keywords: Algorithms, APPROX 2004, Approximate Encryption Schemes, Encryption Scheme, Quantum