Precise evaluation of leaked information with universal2 privacy amplification in the presence of quantum attacker
arXiv:1202.0601 · doi:10.1007/s00220-014-2174-y
Abstract
We treat secret key extraction when the eavesdropper has correlated quantum states. We propose quantum privacy amplification theorems different from Renner's, which are based on quantum conditional Rényi entropy of order 1+s. Using those theorems, we derive an exponential decreasing rate for leaked information and the asymptotic equivocation rate, which have not been derived hitherto in the quantum setting.
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- Security analysis of epsilon-almost dual universal2 hash functions: smoothing of min entropy vs. smoothing of Rényi entropy of order 2
- Tight Exponential Analysis for Smoothing the Max-Relative Entropy and for Quantum Privacy Amplification
- Secure uniform random number extraction via incoherent strategies
- Semantic Security for Quantum Wiretap Channels
- Reliability Function of Classical-Quantum Channels
- Reliable Simulation of Quantum Channels: the Error Exponent
- Reliability Function of Quantum Information Decoupling via the Sandwiched Rényi Divergence
- Tight lower bound on the error exponent of classical-quantum channels
- Achievable error exponents of data compression with quantum side information and communication over symmetric classical-quantum channels
- Expurgation Exponent of Leaked Information in Privacy Amplification for Binary Sources