Quantum Local Differential Privacy and Quantum Statistical Query Model

Understand

Quantum statistical queries provide a theoretical framework for investigating the computational power of a learner with limited quantum resources.

• This model is particularly relevant in the current context, where available quantum devices are subject to severe noise and have limited quantum memory.
• On the other hand, the framework of quantum differential privacy demonstrates that noise can, in some cases, benefit the computation, enhancing robustness and statistical security.
• In this work, we establish an equivalence between quantum statistical queries and quantum differential privacy in the local model, extending a celebrated classical result to the quantum setting.