25 citations · 107 across the 17 of their papers we have counts for
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Low-depth Circuit Implementation of Parity Constraints for Quantum Optimization
Josua Unger, Anette Messinger, Benjamin E. Niehoff +2
We present a construction for circuits with low gate count and depth, implementing three- and four-body Pauli-Z product operators as they appear in the form of plaquette-shaped con…
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…