Quadratic Intelligence Swarm (QIS) Protocol Explained
The article discusses the Quadratic Intelligence Swarm (QIS) protocol and why it is not provably impossible under standard models, despite common objections citing Yao's communication complexity lower bounds.
Why it matters
This article provides a technical explanation for why the Quadratic Intelligence Swarm (QIS) protocol is not provably impossible, despite common objections based on Yao's communication complexity lower bounds.
Key Points
- 1QIS does not compute unrestricted pairwise functions over private inputs, which is the setting where Yao's lower bounds apply
- 2QIS uses a 4-step process: local distillation, semantic fingerprinting, routing, and local synthesis - none of which involve two-party computations over private data
- 3The communication complexity of QIS is O(N log N) or O(N), not O(N^2) as the Yao objection would suggest
Details
The article explains that the Yao communication complexity framework applies to a specific setting where two parties hold private inputs and wish to jointly compute a function that depends on both inputs. However, the QIS protocol does not fit this model. In QIS, each node processes its local data and distills the result into a compact outcome packet, which is then assigned a deterministic semantic address. The packets are deposited in a shared address space, and other nodes can query the address space to retrieve relevant packets. The communication involved in this routing process is O(log N) or O(1), not O(N^2) as the Yao objection would suggest. The key distinction is that QIS does not compute functions over each other's private data - the synthesis step operates over public distillations, not private inputs. This means the Yao lower bounds do not apply to the QIS protocol.
No comments yet
Be the first to comment