notesum.ai

Published at November 25

Quantum Relay Channels

math.IT

Released Date: November 25, 2024

Authors: Uzi Pereg

Arxiv: http://arxiv.org/abs/2411.16263v1

Block	$1$	$2$	$\cdots$	$T-1$	$T$
$U$	$u^{n}(m_{1}^{\prime}\|1)$	$u^{n}(m_{2}^{\prime}\|m_{1}^{\prime})$	$\cdots$	$u^{n}(m_{T-1}^{\prime}\|m_{T-2}^{\prime}))$	$u^{n}(1\|m_{T-1}^{\prime}))$
$A$	$x_{0}^{n}(m_{1}^{\prime},m_{1}^{\prime\prime}\|1)$	$x_{0}^{n}(m_{2}^{\prime},m_{2}^{\prime\prime}\|m_{1}^{\prime})$	$\cdots$	$x_{0}^{n}(m_{T-1}^{\prime},m_{T-1}^{\prime\prime}\|m_{T-2}^{\prime})$	$x_{0}^{n}(1,m_{1}^{\prime\prime}\|m_{T-1}^{\prime})$
$E$	$\tilde{m}_{1}^{\prime}\rightarrow$	$\tilde{m}_{2}^{\prime}\rightarrow$	$\cdots$	$\tilde{m}_{T-1}^{\prime}\rightarrow$	$\emptyset$
$D$	$x_{1}^{n}(1)$	$x_{1}^{n}(\tilde{m}_{1}^{\prime})$	$\cdots$	$x_{1}^{n}(\tilde{m}_{T-2}^{\prime})$	$x_{1}^{n}(\tilde{m}_{T-1}^{\prime})$
$B$	$\emptyset$	$\leftarrow\hat{m}_{1}^{\prime}$	$\cdots$	$\leftarrow\hat{m}_{T-2}^{\prime}$	$\leftarrow\hat{m}_{T-1}^{\prime}$
	$\hat{m}_{1}^{\prime\prime}$	$\hat{m}_{2}^{\prime\prime}$	$\cdots$	$\hat{m}_{T-1}^{\prime\prime}$	$\emptyset$