The question
Can two-qubit nonlocal protocols be simplified or implemented with fewer entanglement and computational resources?
Why it matters
In quantum position verification, remote verifiers use quantum challenges and response timing to test a claimed location. Coordinating adversaries may use shared entanglement to impersonate a legitimate prover. Understanding their capabilities helps clarify the security assumptions.
What you could investigate
- Study existing constructions for two-qubit gates and measurements in quantum nonlocal computation.
- Analyze their resource requirements and explore simplifications or reductions in entanglement cost.
- Use Qiskit simulations to compare errors and time delays; explore three-qubit or multi-qubit extensions when feasible.
What you could create
- An analysis of a nonlocal protocol and its resource costs
- Reproducible circuit simulations
- A comparison of constructions and possible extensions