3,819 research outputs found
Weak Poincar\'e Inequality for Convolution Probability Measures
By using Lyapunov conditions, weak Poincar\'e inequalities are established
for some probability measures on a manifold . These results are further
applied to the convolution of two probability measures on . Along with
explicit results we study concrete examples
Stock Liquidity, Auditor Choice, and Audit Fees.
Ph.D. Thesis. University of Hawaiʻi at Mānoa 2017
Dense-Coding Attack on Three-Party Quantum Key Distribution Protocols
Cryptanalysis is an important branch in the study of cryptography, including
both the classical cryptography and the quantum one. In this paper we analyze
the security of two three-party quantum key distribution protocols (QKDPs)
proposed recently, and point out that they are susceptible to a simple and
effective attack, i.e. the dense-coding attack. It is shown that the
eavesdropper Eve can totally obtain the session key by sending entangled qubits
as the fake signal to Alice and performing collective measurements after
Alice's encoding. The attack process is just like a dense-coding communication
between Eve and Alice, where a special measurement basis is employed.
Furthermore, this attack does not introduce any errors to the transmitted
information and consequently will not be discovered by Alice and Bob. The
attack strategy is described in detail and a proof for its correctness is
given. At last, the root of this insecurity and a possible way to improve these
protocols are discussed.Comment: 6 pages, 3 figure
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