Extracting randomness from magic quantum states

Abstract

Magic quantum states (non-stabilizer states) play a pivotal role in fault-tolerant quantum computation. Simultaneously, random resources have emerged as a key element in various randomized techniques within contemporary quantum science. In this study, we establish a direct connection between these two notions. More specifically, our research demonstrates that when a subsystem of a quantum state is measured, the resultant unmeasured part of the system can exhibit a high degree of randomness that can be enhanced by the inherent correlations of the underlying magic quantum state. Our findings suggest an approach to quantifying correlations within magic quantum states beyond the conventional paradigm of entanglement, and introduce an efficient approach for leveraging such correlations to generate random quantum resources.