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Equation 47 · Part 1 · Error Correction Is the Whole Problem in Quantum Computing

Symbol d

d=3d=3
dd

What this part means

d is part of the quantity the equation computes from the expression on the right.

Its job in the formula

d is part of the quantity the equation computes from the expression on the right.

The passage around this formula

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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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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