SYSTEM AND METHODS FOR QUANTUM POST-SELECTION USING LOGICAL SYNDROME COMPRESSION

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.