142 citations · 159 across the 18 of their papers we have counts for
7 papers · 2 filters
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…
Bundling of bipartite entanglement
Maike Drieb-Schön, Florian Dreier, Wolfgang Lechner
We investigate bipartite entanglement and prove that in constrained energy subspaces, the entanglement spectra of multiple bipartitions are the same across the whole subspace. We s…
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…
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…