1 research outputs found
Robust Syndrome Extraction via BCH Encoding
Quantum data-syndrome (QDS) codes are a class of quantum error-correcting
codes that protect against errors both on the data qubits and on the syndrome
itself via redundant measurement of stabilizer group elements. One way to
define a QDS code is to choose a syndrome measurement code, a classical block
code that encodes the syndrome of the underlying quantum code by defining
additional stabilizer measurements. We propose the use of primitive
narrow-sense BCH codes as syndrome measurement codes. We show that these codes
asymptotically require extra measurements, where is the
number of stabilizer generators of the quantum code and is the number of
errors corrected by the BCH code. Previously, the best known general method of
constructing QDS codes out of quantum codes requires extra
measurements. As the number of additional syndrome measurements is a reasonable
metric for the amount of additional time a general QDS code requires, we
conclude that our construction protects against the same number of syndrome
errors with significantly less time overhead