QUANTUM CODE WITH SIMPLER PAIRWISE CHECKS
    2.
    发明公开

    公开(公告)号:US20240354629A1

    公开(公告)日:2024-10-24

    申请号:US17990316

    申请日:2022-11-18

    CPC classification number: G06N10/70 B82Y10/00 G06N10/40

    Abstract: A method and apparatus for performing quantum error correction using an automorphism code related to the honeycomb code. The automorphism code is based on Kramers-Wannier (KW) duality. For embodiments on a hexagonal lattice using three repeated time steps, ⅓ of the pixels are active in a given time steps. In a given time step r, a KW circuit is applied to plaquettes labeled r mod 3, transferring quantum information from the active qubits at the beginning to a new set of active qubits at the end of the time step. Each of the three plaquette types is associated with one stabilizer either given by a product of six Z operators or three X operators. The KW circuit maps the product of X operators to the product of Z operators and vice-versa. The stabilizer group of the superlattice toric code changes every round.

    DETECTION OF QUASIPARTICLE POISONING AT MAJORANA ISLAND

    公开(公告)号:US20240249174A1

    公开(公告)日:2024-07-25

    申请号:US18159607

    申请日:2023-01-25

    CPC classification number: G06N10/40

    Abstract: A computing system including a quantum computing device. The quantum computing device includes a Majorana island at which Majorana zero modes (MZMs) are instantiated. The quantum computing device further includes a quantum dot electrically connectable to an MZM, a capacitance sensor capacitively coupled to the quantum dot, and a controller. The controller is configured to set a Majorana island gate voltage of the Majorana island and a quantum dot gate voltage of the quantum dot to a candidate resonance Majorana island voltage and a candidate resonance quantum dot voltage. The controller is further configured to receive a capacitance measurement of the quantum dot and the Majorana island and determine whether resonance occurs based on the capacitance measurement. The controller is further configured to reset the gate voltages. The controller is further configured to output a quasiparticle poisoning value indicated by the one or more determinations of whether resonance occurs.

    MEASUREMENT CIRCUIT FOR SURFACE CODE

    公开(公告)号:US20250124320A1

    公开(公告)日:2025-04-17

    申请号:US18485273

    申请日:2023-10-11

    Abstract: A method for enacting a measurement circuit of a surface code on a plaquette of qubits of a qubit lattice comprises: (a) distributing among a sequence of time steps a set of one-qubit projective measurements on each of three auxiliary qubits of the plaquette; (b) distributing among the sequence of time steps a set of two-qubit projective measurements on each of four data qubits of the plaquette together with one of the three auxiliary qubits; (c) distributing among the sequence of time steps a set of two-qubit projective measurements on two or more auxiliary-qubit pairs selected from the three auxiliary qubits of the plaquette; and (d) advancing through each of the time steps of the sequence, executing the one- and two-qubit projective measurements distributed therein. In this method the measurement circuit corresponds to a stabilizer of the surface code, and the measurements generate measurement of a stabilizer operator.

    PHYSICAL LAYOUTS OF MAJORANA-BASED QUBITS FOR IMPLEMENTATIONS OF PENTAGONAL TILINGS

    公开(公告)号:US20240119331A1

    公开(公告)日:2024-04-11

    申请号:US17896258

    申请日:2022-08-26

    CPC classification number: G06N10/40 G06N10/70

    Abstract: Physical layouts of Majorana-based qubits for implementations of pentagonal tilings are described. An example quantum device comprises a set of tetrons for enabling Majorana-based qubits. The set of tetrons is arranged in a lattice to allow pentagonal tilings associated with the set of tetrons. The vertices of the pentagonal tilings relate to the qubits and single qubit operations, and the edges of the pentagonal tilings (connecting different vertices) relate to 2-qubit operations acting on a pair of qubits connected by a given edge. As an example, the 1-qubit Pauli measurements relate to the operations performed on the vertices associated with the pentagonal tilings and the 2-qubit measurements relate to the operations performed along the edges of the pentagonal tilings.

    IDENTIFYING MINIMUM-ENERGY RESONANCE REGION AT MAJORANA ISLAND

    公开(公告)号:US20240419999A1

    公开(公告)日:2024-12-19

    申请号:US18335624

    申请日:2023-06-15

    Abstract: A computing system including a quantum computing device. The quantum computing device includes a Majorana island, a quantum dot (QD), an electrical ground, and a capacitance sensor. The computing system further includes a controller configured to, in each of a plurality of sampling iterations, control the quantum computing device to electrically couple the Majorana island to the electrical ground, disconnect the Majorana island from the electrical ground, electrically couple the Majorana island to the QD, scan over values of a first plunger gate voltage applied to a first plunger gate and a second plunger gate voltage applied to a second plunger gate, and output quantum capacitance measurements. The controller is further configured to receive the quantum capacitance measurements and determine a measured distribution of resonance regions associated with the sampling iterations. The controller is further configured to identify a minimum-energy resonance region and output the minimum-energy resonance region identification.

    JOINT PARITY MEASUREMENTS OF MAJORANA ZERO MODES IN THE PRESENCE OF QUASIPARTICLE POISONING

    公开(公告)号:US20240378477A1

    公开(公告)日:2024-11-14

    申请号:US18313229

    申请日:2023-05-05

    Abstract: A computing system including a quantum computing device. The quantum computing device includes Majorana islands, quantum dots, and capacitance sensors. The computing system further includes a controller configured to, for an island-dot system including one or more Majorana islands and one or more quantum dots, control the quantum computing device to perform a joint parity measurement of two or more MZMs. Performing the joint parity measurement includes, at each of a plurality of candidate resonance regions corresponding to values of a change in a fermion number, setting Majorana island gate voltages and quantum dot gate voltages to respective candidate resonance values. The joint parity measurement further includes, at each of the candidate resonance regions, via a capacitance sensor, detecting a microwave response signal measured at the island-dot system. The joint parity measurement further includes outputting a joint parity value based at least in part on the microwave response signal.

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