The question
How can parties compute functions of distributed Bloch vectors using limited quantum communication?
Why it matters
A qubit can be represented by a Bloch vector. When qubits are held at different nodes, a collective calculation—such as an inner product or an average—must account for how information moves between them.
What you could investigate
- Begin with two parties and study two-qubit processing, teleportation, and measurement expectations.
- Explore functions such as the inner product of two Bloch vectors or their average.
- Extend tractable protocols to three-party line and triangle networks, keeping a clear account of communication resources.
What you could create
- A mathematical model for a small consensus problem
- A protocol calculation or simulation
- A comparison of communication needs across small networks