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Paper 1

Synthesis of Fault-tolerant State Preparation Circuits using Steane-type Error Detection

Erik Weilandt, Tom Peham, Robert Wille

Year

2026

Journal

arXiv preprint

DOI

arXiv:2601.13313

arXiv

2601.13313

Fault-tolerant state preparation is essential for reliable quantum error correction, particularly in Steane-type error correction, which relies on robust ancilla states for syndrome readout. One method of fault-tolerant state preparation is to initialize multiple ancilla states and check them against each other to detect problematic errors. In the worst case, the number of states required for successful initialization grows polynomially with the code distance, but it has been shown that this can be reduced to constant ancilla overhead-in the best case, only four states are required. However, existing techniques for finding low-overhead initialization schemes are limited to codes with large symmetry groups, such as the Golay code. In this work, we propose a general, automated synthesis methodology for Steane-type fault-tolerant state preparation circuits that applies to arbitrary Calderbank-Shor-Steane (CSS) codes and does not rely on code symmetries. We apply the proposed methods to various CSS codes up to a distance of seven and simulate the successful fault-tolerant initialization of logical basis states under circuit-level depolarizing noise. The circuits synthesized using the proposed methodology provide an important step towards experimental realizations of high-fidelity ancilla states for near-term demonstration of fault-tolerant quantum computation.

Open paper

Paper 2

Someone shouts, "|01000>!" Who is Excited?

Robert S. Smith

Year

2017

Journal

arXiv preprint

DOI

arXiv:1711.02086

arXiv

1711.02086

We talk about the right way to order amplitudes in a wavefunction, and the right way to interpret operator matrices in quantum computation.

Open paper