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with random codes (hashing) for every single-qubit Pauli noise channel; it is the first explicit code

Low-overhead fault-tolerant quantum computation Figure 7: Generalised lattice surgery. Details of generalised lattice surgery are given in Refs. Litinski and Oppen (); Litinski (). (a) Pairs of qubits are encoded on surface codes with six twist defects lying on their boundaries (i) Brown et al. ().Entangling operations are performed by making parity measurements with an ancillary。

The XZZX surface code J. Pablo Bonilla-Ataidexzzxxs, 1David K. Tuckett, Stephen D. Bartlett, Steven T. Flammia,2 and Benjamin J. Brown1 1Centre for Engineered Quantum Systems, School of Physics, University of Sydney, Sydney, New South Wales 2006, Australia 2AWS Center for Quantum Computing, Pasadena, CA 91125, USA (Dated: August。

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