Experimental generation of entanglement-assisted quantum random access code

$n\ensuremath{\rightarrow}m$ random access code (RAC) is an information task to encode an $n$-bit random message into a shorter $m$-bit string. Resulting from the compression loss from $n$ to $m$ bits, there exists success probabilities for the string receiver to recover any bits of the initial message. It has been shown that success probabilities of bit recovery can be enhanced by employing quantum resources. Here we present experimental realizations of $2\ensuremath{\rightarrow}1$ and $3\ensuremath{\rightarrow}1$ distributed entanglement-assisted random access codes (EARACs) with a two-photon entangled source. The average success probabilities obtained in our experiment are $0.8491(41)$ for a $2\ensuremath{\rightarrow}1$ EARAC and $0.7724(34)$ for a $3\ensuremath{\rightarrow}1$ EARAC, exceeding the classical counterparts, respectively. Moreover, through the existing experimental data, success probabilities for $n$ varying from 4 to 10 ($m=1$) are estimated.