Localized Virtual Purification

Understand

Analog and digital quantum simulators can efficiently simulate quantum many-body systems that appear in natural phenomena.

• However, experimental limitations of near-term devices still make it challenging to perform the entire process of quantum simulation.
• The purification-based quantum simulation methods can alleviate the limitations in experiments such as the cooling temperature and noise from the environment, while this method has the drawback that it requires global entangled measurement with a prohibitively large number of measurements that scales exponentially with the system size.
• In this Letter, we propose that we can overcome these problems by restricting the entangled measurements to the vicinity of the local observables to be measured, when the locality of the system can be exploited.