6 papers
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…
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…
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 DomÃnguez, 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…