4 citations · 11 across the 6 of their papers we have counts for
6 papers · 1 filter
Fermion lattices can be simulated by same-size qubit lattices with interaction overhead
Gregor Aigner, Berend Klaver, Martin Lanthaler +1
Local interactions among electrons underlie many complex properties of correlated materials. While the Jordan-Wigner transformation can preserve this locality along one spatial dim…
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…
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…
Runtime Reduction in Linear Quantum Charge-Coupled Devices using the Parity Flow Formalism
Federico Domínguez, Michael Fellner, Berend Klaver +3
Using the Parity Flow formalism, we show that physical SWAP gates can be eliminated in linear hardware architectures, without increasing the total number of two-qubit operations. T…
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…
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…