Fault-tolerant Quantum Error Correction Using a Linear Array of Emitters
arxiv(2024)
摘要
We propose a fault-tolerant quantum error correction architecture consisting
of a linear array of emitters and delay lines. In our scheme, a resource state
for fault-tolerant quantum computation is generated by letting the emitters
interact with a stream of photons and their neighboring emitters. In the
absence of delay line errors, our schemes have thresholds ranging between 0.32
and 0.39
Depending on the number of emitters n_e, we study the effect of delay line
errors in two regimes: when n_e is a small constant of order unity and when n_e
scales with the code distance. Between these two regimes, the logical error
rate steadily decreases as n_e increases, from an exponential decay in
eta^-1/2 to an exponential decay in eta^-1. We also carry out a detailed
study of the break-even point and the fault-tolerance overhead. These studies
suggest that the multi-emitter architecture, using the state-of-the-art delay
lines, can be used to demonstrate error suppression, assuming other sources of
errors are sufficiently small.
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