← All parts of this equation

Equation 5 · Part 1 · Error Correction Is the Whole Problem in Quantum Computing

Symbol S_i

Si ∣ψL⟩=+∣ψL⟩,i=1,…,n−k.S_i \, |\psi_L\rangle = + |\psi_L\rangle , \qquad i = 1, \dots, n - k .
SiS_i

What this part means

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

Its job in the formula

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

The passage around this formula

The technique that makes this work is the stabiliser formalism, given its general fault-tolerant treatment by Gottesman [ 4 ] . A code is defined not by listing its states but by naming a set of commuting Pauli operators SiS_i — the stabiliser generators — whose joint +1 eigenspace is the code space: Si ∣ψL⟩=+∣ψL⟩,i=1,…,n−kS_i \, |\psi_L\rangle = + |\psi_L\rangle , \qquad i = 1, \dots, n - k . An [[n, k, d]] code encodes k logical qubits into n physical qubits with distance d . The stabiliser generators are measured repeatedly. Because each SiS_i commutes with every other and with the…

Read this part in the article →

Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

See this notation across published equations →

Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.