8 papers
Demonstrating Record Fidelity for the Quantum Fourier Transform
Philipp Aumann, Michael Fellner, David Alber +6
We demonstrate the Parity Architecture on quantum hardware, using the quantum Fourier transform (QFT) as a benchmark. As a result, a record performance in both fidelity and qubit c…
The Parity Flow Formalism: Tracking Quantum Information Throughout Computation
Berend Klaver, Katharina Ludwig, Anette Messinger +4
We propose the Parity Flow formalism, a method for tracking the information flow in quantum circuits. This method adds labels to quantum circuit diagrams such that the action of Cl…
SWAP-less Implementation of Quantum Algorithms
Berend Klaver, Stefan Rombouts, Michael Fellner +4
We present a formalism based on tracking the flow of parity quantum information to implement algorithms on devices with limited connectivity without qubit overhead, SWAP operations…
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…
Fault-tolerant quantum computing with the parity code and noise-biased qubits
Anette Messinger, Valentin Torggler, Berend Klaver +2
We present a fault-tolerant universal quantum computing architecture based on a code concatenation of biased-noise qubits and the parity architecture. The parity architecture can b…
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…