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Lab · Groundwork

How a graph of entanglement forms

Before asking whether geometry can emerge from entanglement, you need to see what is being grown. Here it is, one step at a time, on a network small enough to count: every number is computed live in your browser.

Use Next. This is an explanation of the model, not a result: it stops before geometry on purpose.

What to take away

• The links are the entanglement. Each one is a pair of qubits in a Bell state, so the entropy of a region is the number of links crossing its border.
• Not every rule is allowed. Operations inside a group cannot raise the entanglement across its border, and this limits how the graph can grow.
• Distance comes last. It is counted in hops on the links. The drawing on screen has no physical meaning.
• The rule is an assumption. Neither who makes new qubits nor why this rule applies comes out of the model.

Continue: from relations to geometry →