Equation 48 · Error Correction Is the Whole Problem in Quantum Computing
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Symbol d
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=
The expressions on both sides represent the same quantity under the stated assumptions.
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On a different hardware platform, a Harvard, MIT and QuEra collaboration reported a processor based on encoded logical qubits operating with up to 280 physical qubits in reconfigurable neutral atom arrays, demonstrating improvement of a two-qubit logic gate by scaling surface code distance from d=3 to d=7 , operation of 40 colour code qubits, and sampling circuits with up to 48 logical qubits entangled with 228 logical two-qubit gates and 48 logical CCZ gates using three-dimensional [[8,3,2]] code blocks [ 18 ] . The [[8,3,2]] code has distance 2: it detects errors without correcting them. Reporting 48 logical qubits is correct; reading it as 48 fault-tolerant qubits at algorithmic distance…
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On a different hardware platform, a Harvard, MIT and QuEra collaboration reported a processor based on encoded logical qubits operating with up to 280 physical qubits in reconfigurable neutral atom arrays, demonstrating improvement of a two-qubit logic gate by scaling surface code distance from d=3 to d=7 , operation of 40 colour code qubits, and sampling circuits with up to 48 logical qubits entangled with 228 logical two-qubit gates and 48 logical CCZ gates using three-dimensional [[8,3,2]] code blocks [ 18 ] . The [[8,3,2]] code has distance 2: it detects errors without correcting them. Reporting 48 logical qubits is correct; reading it as 48 fault-tolerant qubits at algorithmic distance is not.
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