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The error-correction demonstration was performed on Schrödinger-cat states encoded in a superconducting resonator, and employed a quantum controller capable of performing real-time feedback operations including read-out of the quantum information, its analysis, and the correction of its detected errors. The work demonstrated how the quantum ...
Once the logical qubit is encoded, errors on the physical qubits can be detected via stabilizer measurements. A lookup table that maps the results of the stabilizer measurements to the types and locations of the errors gives the control system of the quantum computer enough information to correct errors. [4]
Quantum error-correcting codes restore a noisy, decohered quantum state to a pure quantum state. A stabilizer quantum error-correcting code appends ancilla qubits to qubits that we want to protect. A unitary encoding circuit rotates the global state into a subspace of a larger Hilbert space.
Then, one can use these better gates to recursively create even better gates, until one has gates with the desired failure probability, which can be used for the desired quantum circuit. According to quantum information theorist Scott Aaronson: "The entire content of the Threshold Theorem is that you're correcting errors faster than they're ...
In a quantum error-correcting code, the codespace is the subspace of the overall Hilbert space where all logical states live. In an -qubit stabilizer code, we can describe this subspace by its Pauli stabilizing group, the set of all -qubit Pauli operators which stabilize every logical state. The stabilizer formalism allows us to define the ...
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Quantum computing engineers have historically struggled with errors. Building chips with more qubits has led to correspondingly large increases in the number of errors. But Google says Willow does ...
Two types of parity measurement are indirect and direct. Indirect parity measurements coincide with the typical way we think of parity measurement as described above, by measuring an ancilla qubit to determine the parity of the input bits.