Temporally encoded lattice surgery protocols for hybrid error detection and correction schemes

    公开(公告)号:US12007835B1

    公开(公告)日:2024-06-11

    申请号:US18064913

    申请日:2022-12-12

    CPC classification number: G06F11/08 G06F8/65 G06N10/60

    Abstract: Techniques for performing temporally encoded lattice surgery (TELS) protocols to reduce space-time costs of lattice surgery measurements are disclosed. A given quantum algorithm may be represented using Pauli-based computation, and associated multi-qubit Pauli operators may be encoded into codewords of a given classical error-correcting code. A hybrid error detection and correction scheme may then be applied during a given TELS protocol in which classical error syndromes corresponding to errors with weights up to a certain weight limit may be corrected while other classical error syndromes corresponding to errors with higher weights may cause given lattice surgery measurements to be remeasured. The weight limit for the hybrid scheme may be chosen based, at least in part, on a number of codewords used, a size of a parallelizable Pauli set used to represent the quantum algorithm, and a distance parameter of the chosen classical error-correcting code.

    CROSS-TALK REDUCTION IN FAULT TOLERANT QUANTUM COMPUTING SYSTEM

    公开(公告)号:US20220180236A1

    公开(公告)日:2022-06-09

    申请号:US17217946

    申请日:2021-03-30

    Abstract: A fault tolerant quantum computer is implementing using hybrid acoustic-electric qubits. A control circuit includes an asymmetrically threaded superconducting quantum interference devices (ATS) that excites phonons in a mechanical resonator by driving a storage mode of the mechanical resonator and dissipates phonons from the mechanical resonator via an open transmission line coupled to the control circuit, wherein the open transmission line is configured to absorb photons from a dump mode of the control circuit. Filters are included in the control circuit to suppress cross-talk errors. Additionally, frequencies and pump mode detunings for respective multiplexed control circuits are strategically selected to reduce cross-talk errors.

    Teleporting magic states from a color code to a surface code and decoding a merged surface-color code

    公开(公告)号:US11966817B1

    公开(公告)日:2024-04-23

    申请号:US17694399

    申请日:2022-03-14

    CPC classification number: G06N10/70 G06N10/20 G06N10/60

    Abstract: A technique for merging, via lattice surgery, a color code and a surface code, and subsequentially decoding one or more rounds of stabilizer measurements of the merged code is disclosed. Such a technique can be applied to bottom-up fault-tolerant magic state preparation protocol such that an encoded magic state can be teleported from a color code to a surface code. Decoding the stabilizer measurements of the merged code requires a decoding algorithm specific to the merged code in which error correction involving qubits at the border between the surface and color code portions of the merged code is performed. Error correction involving qubits within the surface code portion and within color code portion, respectively, may additionally be performed. In some cases, the magic state is prepared in a color code via a technique for encoding a Clifford circuit design problem as an SMT decision problem.

    Edge graph mapping using analog information with dynamically updated weighting factors for a surface GKP code

    公开(公告)号:US11853159B1

    公开(公告)日:2023-12-26

    申请号:US17362754

    申请日:2021-06-29

    CPC classification number: G06F11/104 G06N10/00

    Abstract: A fault tolerant quantum error correction protocol is implemented for a surface code comprising Gottesman Kitaev Preskill (GKP) qubits. Analog information is determined when measuring position or momentum shifts, wherein the analog information indicates a closeness of the shift to a decision boundary. The analog information is further used to determine confidence values for error corrected measurements from the GKP qubits of the surface code. These confidence values are used to dynamically determine edge weights in a matching graph used to decode syndrome measurements of the surface code, wherein the confidence values are obtained using a maximum-likelihood decoding protocol for two-qubit gates. Space-time correlated edges and other edges are included in the matching graph and weighted based at least in part on confidence values for qubits forming the respective edges.

    Toffoli gate distillation from Toffoli magic states

    公开(公告)号:US11741279B2

    公开(公告)日:2023-08-29

    申请号:US17098240

    申请日:2020-11-13

    CPC classification number: G06F30/33 G01R31/3177 G06N10/00 H03K19/195

    Abstract: A top-down distillation process for preparing low-error rate Toffoli gates utilizes Toffoli magic states as inputs to the distillation process. Multiple Toffoli magic states are used to distill a low-error rate Toffoli gate via one round of distillation. Lattice surgery operations are performed to distill the low-error rate Toffoli gate from the multiple Toffoli magic states. Each round of lattice surgery operations acts on a check qubit associated with the low error rate Toffoli gate being distilled. Errors introduced during the distillation (if non-trivial) will be manifest in the check qubit. Thus, the check qubit is measured subsequent to performing the lattice surgery operations to verify that the distilled Toffoli gate is very likely to be provide a correct result.

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