Short-depth syndrome extraction circuits in 2D quantum architectures for hypergraph product codes

    公开(公告)号:US12271784B2

    公开(公告)日:2025-04-08

    申请号:US17219331

    申请日:2021-03-31

    Abstract: A quantum measurement circuit implements a hypergraph product code (HPG). A syndrome can be extracted from the circuit by preparing a readout qubit of the quantum measurement circuit in a known state, preparing a row-based measurement gadget, and preparing a column-based measurement gadget in the quantum measurement circuit. The row-based measurement gadget entangles the readout qubit with a first subset of the target set of data qubits in a same row of the quantum measurement circuit as the readout qubit, and the column based gadget entangles the readout qubit with a second subset of the target set of data qubits in a same column of the quantum measurement circuit as the readout qubit. The syndrome is extracted by measuring the readout qubit to extract the parity of the target set of data qubits.

    Short-depth syndrome extraction circuits for Calderbank Shor Steane (CSS) stabilizer codes

    公开(公告)号:US11494684B2

    公开(公告)日:2022-11-08

    申请号:US17219383

    申请日:2021-03-31

    Abstract: A disclosed methodology for syndrome extraction in a quantum measurement circuit includes generating a graph representing a code implemented by the quantum measurement circuit. The graph includes bit nodes corresponding to data qubits in the quantum measurement circuit, check nodes corresponding to syndrome qubits in the quantum measurement circuit, and edges between the bit nodes and check nodes that are each associated with a stabilizer measurement provided by the code. The methodology provides for assigning each of the different edges in the graph to a select one of “G” number of different edge types and performing at least G-number of temporally-separated rounds of qubit operations that each enact concurrent multi-qubit operations on endpoints of a subset of the edges assigned to a same one of the G different edge types.

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