Editing Quantum Key Distribution
Jump to navigation
Jump to search
The edit can be undone. Please check the comparison below to verify that this is what you want to do, and then publish the changes below to finish undoing the edit.
Latest revision | Your text | ||
Line 27: | Line 27: | ||
*'''Secrecy''' A QKD protocol is <math>\epsilon_{\rm sec}</math>-secret if for every input state it holds that | *'''Secrecy''' A QKD protocol is <math>\epsilon_{\rm sec}</math>-secret if for every input state it holds that | ||
<math> \frac{1}{2}{\|{\rho_{K_AE}}-{\tau_{K_A}\otimes \rho_E}\|}_1\leq \epsilon_{\rm sec},</math> | <math> \frac{1}{2}{\|{\rho_{K_AE}}-{\tau_{K_A}\otimes \rho_E}\|}_1\leq \epsilon_{\rm sec},</math> | ||
where <math>\tau_{K_A}=\frac{1}{|K_A|}\sum_{k} | where <math>\tau_{K_A}=\frac{1}{|K_A|}\sum_{k}\ketbra{k}{k}_A</math> is the maximally mixed state in the space of strings <math>K_A</math>, and <math>{\|\cdot \|}_1</math> is the trace norm. | ||
*A protocol implements a <math>(n,\epsilon_{\rm corr},\epsilon_{\rm sec},\ell)</math>-QKD if with <math>n</math> rounds it generates an <math>\epsilon_{\rm corr}</math>-correct and <math>\epsilon_{\rm sec}</math>-secret key of size <math>\ell</math> bits. | *A protocol implements a <math>(n,\epsilon_{\rm corr},\epsilon_{\rm sec},\ell)</math>-QKD if with <math>n</math> rounds it generates an <math>\epsilon_{\rm corr}</math>-correct and <math>\epsilon_{\rm sec}</math>-secret key of size <math>\ell</math> bits. |