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Lattice surgery can provide logical operations between logical qubits protected by surface code. Lattice surgery is a fault-tolerant protocol for entangling the surface code. Lattice surgery maps two surface codes onto a joint eigenstate of two logical Pauli operators of the codes through a joint measurement, Mxx or Mzz, which can be implemented fault-tolerantly. Lattice surgery enables measurement-based implementations of logical gates and logical state teleportation. Lattice surgery is a method to perform quantum computation fault-tolerantly using operations on boundary qubits between different lattices. Lattice surgery consists of two steps. There are two types according to joint boundaries. If joint boundaries are rough boundaries, rough merge and split. Otherwise, smooth merge and split. The effect of the merge is a parity check measurement on both states. The effect of the split is the creation of entanglement among the encoded qubits. |
IEEE/ICACT20240330 Slide.05
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