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Equation 37 · Part 1 · Error Correction Is the Whole Problem in Quantum Computing

Symbol T

TT
TT

What this part means

T is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

T is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

Universality requires a non-Clifford gate, conventionally the T gate. Non-Clifford gates cannot be implemented transversally in the surface code, and the standard workaround is magic state distillation, introduced by Bravyi and Kitaev [ 10 ] . Many noisy copies of a particular ancilla state are prepared, a Clifford circuit is applied, some are measured, and a smaller number of higher-fidelity copies survive. The output state is then consumed by gate teleportation to effect the T gate.

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