Measurement-induced quantum phases realized in a trapped-ion quantum computer

Many-body open quantum systems balance internal dynamics against decoherence and measurements induced by interactions with an environment1,2. Quantum circuits composed of random unitary gates interspersed projective represent a minimal model to study the between measurement processes3–5. As rate is varied, purification phase transition predicted emerge at critical point akin fault-tolerant threshold6. Here we explore this implemented on trapped-ion computer. We probe pure phase, where system rapidly projected state conditioned outcomes, mixed or coding initial becomes partially encoded into error correcting codespace that keeps memory conditions for long times6,7. find experimental evidence two phases show numerically that, modest scaling, properties emerge. are undergo towards through frequent measurements. The separated have now been observed