5 papers · 1 filter
Fault-tolerant multi-qubit gates in Parity Codes
Anette Messinger, Christophe Goeller, Wolfgang Lechner
We present a set of efficiently implementable logical multi-qubit gates in concatenated quantum error correction codes using parity qubits. In particular, we show how fault-toleran…
Optimal Decoder for the Error Correcting Parity Code
Konstantin Tiurev, Christophe Goeller, Leo Stenzel +4
We present a two-step decoder for the parity code and evaluate its performance in code-capacity and faulty-measurement settings. For noiseless measurements, we find that the decodi…
Minimally Universal Parity Quantum Computing
Isaac D. Smith, Berend Klaver, Hendrik Poulsen Nautrup +2
In parity quantum computing, multi-qubit logical gates are implemented by single-qubit rotations on a suitably encoded state involving auxiliary qubits. Consequently, there is a co…
Improving success probability in the LHZ parity embedding by computing with quantum walks
Jemma Bennett, Nicholas Chancellor, Viv Kendon +1
The LHZ parity embedding is one of the front-running methods for implementing difficult-to-engineer long-range interactions in quantum optimisation problems. Continuous-time quantu…
Connectivity-aware Synthesis of Quantum Algorithms
Florian Dreier, Christoph Fleckenstein, Gregor Aigner +5
We present a general method for the implementation of quantum algorithms that optimizes both gate count and circuit depth. Our approach introduces connectivity-adapted CNOT-based b…