Fault-tolerant quantum data locking

Quantum data locking is a quantum communication primitive that allows the use of short secret key to encrypt much longer message. It guarantees information-theoretical security against an adversary with limited memory. Here we present protocol employs pseudorandom circuits consisting Clifford gates only, which are easier implement fault tolerantly than universal gates. We show information can be encrypted into $n$-qubit code words using order $n\ensuremath{-}{H}_{\mathrm{min}}(\mathsf{X})$ bits, where ${H}_{\mathrm{min}}(\mathsf{X})$ min-entropy plain text, and smaller $n$ accounts for leakage adversary. As application, discuss efficient method encrypting output computer.