78 citations · 298 across the 13 of their papers we have counts for
13 papers
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…
Quantum optimization with globally driven neutral atom arrays
Martin Lanthaler, Kilian Ender, Davit Khachatryan +5
Neutral atoms trapped in configurable tweezer arrays are a promising platform for solving hard optimization problems. While such platforms natively embed unit-disk maximum weight i…
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…
Rydberg blockade based parity quantum optimization
Martin Lanthaler, Clemens Dlaska, Kilian Ender +1
We present a scalable architecture for solving higher-order constrained binary optimization problems on current neutral-atom hardware operating in the Rydberg blockade regime. In p…
Applications of Universal Parity Quantum Computation
Michael Fellner, Anette Messinger, Kilian Ender +1
We demonstrate the applicability of a universal gate set in the parity encoding, which is a dual to the standard gate model, by exploring several quantum gate algorithms such as th…
Universal Parity Quantum Computing
Michael Fellner, Anette Messinger, Kilian Ender +1
We propose a universal gate set for quantum computing with all-to-all connectivity and intrinsic robustness to bit-flip errors based on parity encoding. We show that logical contro…
Modular Parity Quantum Approximate Optimization
Kilian Ender, Anette Messinger, Michael Fellner +2
The parity transformation encodes spin models in the low-energy subspace of a larger Hilbert-space with constraints on a planar lattice. Applying the Quantum Approximate Optimizati…
Quantum optimization via four-body Rydberg gates
Clemens Dlaska, Kilian Ender, Glen Bigan Mbeng +3
There is a large ongoing research effort towards obtaining a quantum advantage in the solution of combinatorial optimization problems on near-term quantum devices. A particularly p…
Parity Quantum Optimization: Benchmarks
Michael Fellner, Kilian Ender, Roeland ter Hoeven +1
We present benchmarks of the parity transformation for the Quantum Approximate Optimization Algorithm (QAOA). We analyse the gate resources required to implement a single QAOA cycl…
Parity Quantum Optimization: Encoding Constraints
Maike Drieb-Schön, Kilian Ender, Younes Javanmard +1
Constraints make hard optimization problems even harder to solve on quantum devices because they are implemented with large energy penalties and additional qubit overhead. The pari…
Parity Quantum Optimization: Compiler
Kilian Ender, Roeland ter Hoeven, Benjamin E. Niehoff +2
We introduce parity quantum optimization with the aim of solving optimization problems consisting of arbitrary -body interactions and side conditions using planar quantum chip a…
Quantum Spin Lenses in Atomic Arrays
A. W. Glaetzle, K. Ender, D. S. Wild +4
We propose and discuss `quantum spin lenses', where quantum states of delocalized spin excitations in an atomic medium are `focused' in space in a coherent quantum process down to…
Analysis of the NMSSM Higgs Boson Masses at One-Loop Level
K. Ender, T. Graf, M. Muhlleitner +1
For a reliable prediction of the NMSSM Higgs boson signatures at present and future high-energy colliders and a proper distinction of the NMSSM and MSSM Higgs sector the precise kn…