Abstract: A quantum error correction method including correcting a stream of syndrome measurements produced by a quantum computer comprises receiving a layered representation of error propagation through quantum error detection circuits, the layered representation comprises a plurality of line circuit layers that each represent a probability of local detection events in a quantum computer associated with one or more potential error processes in the execution of a quantum algorithm; during execution of the quantum algorithm: receiving one or more syndrome measurements from quantum error detection circuits; converting the syndrome measurements into detection events written to an array that represents a patch of quantum error correction circuits at a sequence of steps in the quantum algorithm; determining one or more errors in the execution of the quantum algorithm from the detection events in dependence upon the stored line circuit layers; and causing correction of the syndrome measurements based on the determined errors

Abstract: Apparatus for quantum error correction is disclosed. The apparatus includes an array of processing cores, each processing core comprising: a processor on a first chip; and a processor cache on the first chip; and a bus for interconnecting neighbouring processing cores in the array of processing cores; wherein each processing core includes: control code which, when executed by the processor, causes the processor to access a processor cache of at least one neighbouring processing core.

Abstract: Methods, systems, and apparatus for performing an entangling operation on a system of qubits. In one aspect, a method includes operating the system of qubits, wherein the system of qubits comprises: a plurality of first qubits, a plurality of second qubits, a plurality of qubit couplers defining nearest neighbor interactions between the first qubits and second qubits, wherein the system of qubits is arranged as a two dimensional grid and each qubit of the multiple first qubits is coupled to multiple second qubits through respective qubit couplers, and wherein operating the system of qubits comprises: pairing multiple first qubits with respective neighboring second qubits; performing an entangling operation on each paired first and second qubit in parallel, comprising detuning each second qubit in the paired first and second qubits in parallel.

Abstract: A quantum computing device includes: a first array of qubits arranged along a first axis; and a second array of qubits arranged along a second axis different from the first axis so that the qubits of the second array intersect with the qubits of the first array to form a lattice structure, in which each qubit in the first array is offset along the second axis relative to a directly adjacent qubit in the first array, each qubit in the second array is offset along the first axis relative to a directly adjacent qubit in the second array, and each intersection between a qubit from the first array and a qubit from the second array in the lattice structure comprises a coupler arranged to inductively couple the qubit from the first array to the qubit from the second array.