Semidefinite-programming-based optimization of quantum random access codes over noisy channels
Year: 2023
Type: article
Abstract: There are many approaches when it comes to exploring the potential of the random access code (RAC) communication protocol. Given its versatility, the RAC is particularly useful when the communication between parties is restricted. In previous works, it has been proven that ${2}^{(d)}\ensuremath{\rightarrow}1$ quantum random access codes (QRAC), in the absence of noise, outperform their classical counterpart (the ${2}^{(d)}\ensuremath{\rightarrow}1$ CRAC) for any dimension $d$. Here, building upon these works, we showed that noisy channels can significantly decrease the performance of ${2}^{(d)}\ensuremath{\rightarrow}1$ QRAC. In order to mitigate noise-driven efficiency losses, we employed the see-saw optimization algorithm with semidefinite programming (SDP) to find the best quantum encoding and decoding strategies for the QRAC given a known quantum channel.
Source: Physical Review A
Authors: Rafael A. da Silva, Breno Marques
Institution: Universidade Federal do ABC
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4367312223