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It was shown in [WST08] that cryptographic primitives can be implementedbased on the assumption that quantum storage of qubits is noisy. In this workwe analyze a protocol for the universal task of oblivious transfer that can beimplemented using quantum-key-distribution (QKD) hardware in the practicalsetting where honest participants are unable to perform noise-free operations.We derive trade-offs between the amount of storage noise, the amount of noisein the operations performed by the honest participants and the security ofoblivious transfer which are greatly improved compared to the results in[WST08]. As an example, we show that for the case of depolarizing noise instorage we can obtain secure oblivious transfer as long as the quantumbit-error rate of the channel does not exceed 11% and the noise on the channelis strictly less than the quantum storage noise. This is optimal for theprotocol considered. Finally, we show that our analysis easily carries over toquantum protocols for secure identification.

Robust Cryptography in the Noisy-Quantum-Storage Model