



01388nas a2200133   4500008004100000245006900041210006800110260001400178520096800192100001601160700001601176700002501192856003701217       2022                        eng d00aCandidate for a self-correcting quantum memory in two dimensions0 aCandidate for a selfcorrecting quantum memory in two dimensions  c5/19/20223 a<p>An interesting problem in the field of quantum error correction involves finding a physical system that hosts a &quot;self-correcting quantum memory,&quot; defined as an encoded qubit coupled to an environment that naturally wants to correct errors. To date, a quantum memory stable against finite-temperature effects is only known in four spatial dimensions or higher. Here, we take a different approach to realize a stable quantum memory by relying on a driven-dissipative environment. We propose a new model which appears to self correct against both bit-flip and phase-flip errors in two dimensions: A square lattice composed of photonic &quot;cat qubits&quot; coupled via dissipative terms which tend to fix errors locally. Inspired by the presence of two distinct Z2-symmetry-broken phases, our scheme relies on Ising-like dissipators to protect against bit flips and on a driven-dissipative photonic environment to protect against phase flips.&nbsp;</p>1 aLieu, Simon1 aLiu, Yu-Jie1 aGorshkov, Alexey, V.  uhttps://arxiv.org/abs/2205.09767