System and methods for quantum post-selection using logical syndrome compression
AssigneeError Corp.
InventorDennis Lucarelli
Life of this patent
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Abstract
Methods, systems, and techniques for detecting errors in qubits within a quantum computing system. In at least one embodiment, at least one quantum check operator is used to couple data qubits with syndrome qubits, a parity-check code is used to couple the syndrome qubits with measure qubits, and the measure qubits are measured to determine whether any errors are present in the data qubits. In at least one embodiment, codewords are coupled to one or more ancilla qubits based at least in part on a binary matrix associated with one or more non-Calderbank-Shor-Steane (“non-CSS”) quantum codes, and the one or more ancilla qubits are used to obtain information about any errors present in the codewords.
Claims42
A method for use with at least one quantum check operator and a parity-check code, the method comprising:
- using the at least one quantum check operator to couple quantum codewords with syndrome qubits;
- obtaining a specification based at least in part on the parity-check code;
- using a logical syndrome compressor of a quantum apparatus to couple the syndrome qubits with measure qubits using the specification;
- and
- measuring the measure qubits to determine whether any errors are present in the quantum codewords.
A method for use with at least one quantum check operator and a parity-check code, the method comprising:
- using the at least one quantum check operator to couple at least one qubit with at least one syndrome qubit;
- obtaining a specification based at least in part on the parity-check code;
- using a hardware component of a quantum apparatus to couple the at least one syndrome qubit with at least one measure qubit using the specification;
- and
- measuring the at least one measure qubit to determine whether any errors are present in at least one quantum state of the at least one qubit.
A method of preparing a plurality of qubits having a target multiple-qubit entangled state, the method comprising:
- using at least one verification circuit of a quantum apparatus to couple multiple qubits with at least one syndrome qubit, the at least one verification circuit being associated with a target multiple-qubit entangled state;
- using a hardware component of the at least one verification circuit to couple the at least one syndrome qubit with at least one measure qubit in accordance with a specification determined based at least in part on a parity-check matrix and an identity matrix;
- and
- measuring the at least one measure qubit to determine which of the multiple qubits have the target multiple-qubit entangled state.
A quantum device for use with at least one quantum check operator and a parity-check code, the quantum device comprising:
- a quantum syndrome extractor to use the at least one quantum check operator to couple quantum codewords with syndrome qubits;
- a logical syndrome compressor to use a specification based at least in part on the parity-check code to couple the syndrome qubits with measure qubits;
- and
- a measurement apparatus to measure the measure qubits to detect whether any errors are present in the quantum codewords.
Dependencies are inferred from the claim text.