Time Independent Universal Computing with Spin Chains: Quantum Plinko Machine

We present a scheme for universal quantum computing using XY Heisenberg spin chains. Information is encoded into packets propagating down these chains, and they interact with each other to perform universal quantum computation. A circuit using g gate blocks on m qubits can be encoded into chains of length $O(g^{3+δ} m^{3+δ})$ for all $δ>0$ with vanishingly small error.

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