25 citations · 112 across the 16 of their papers we have counts for
16 papers
Parity-unfolded distillation architecture for noise-biased platforms
Konstantin Tiurev, Christoph Fleckenstein, Christophe Goeller +6
We introduce the parity-unfolded architecture, a fault-tolerant quantum computing scheme that relies on direct preparation and teleportation of small-angle rotations …
YZ-plane measurement-based quantum computation: Universality and Parity Architecture implementation
Jaroslav Kysela, Katharina Ludwig, Nitica Sakharwade +2
We define the class of register-logic graphs and prove that any uniformly deterministic measurement-based quantum computation (MBQC) where the inputs coincide with the outputs must…
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…
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…
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…
Flexible constraint compilation in the parity architecture
Roeland ter Hoeven, Anette Messinger, Wolfgang Lechner
We present tools and methods to generalize parity compilation to digital quantum computing devices with arbitrary connectivity graphs and construct circuit implementations for the…
Constant Depth Code Deformations in the Parity Architecture
Anette Messinger, Michael Fellner, Wolfgang Lechner
We present a protocol to encode and decode arbitrary quantum states in the parity architecture with constant circuit depth using measurements, local nearest-neighbor and single-qub…
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…
Duality, decay rates and local-field models in macroscopic QED
Niclas Westerberg, Anette Messinger, Stephen M. Barnett
Any treatment of magnetic interactions between atoms, molecules and optical media must start at the form of the interaction energy. This forms the base on which predictions about a…
Spontaneous emission in anisotropic dielectrics
Anette Messinger, Niclas Westerberg, Stephen M. Barnett
The emission properties of atoms lie at the foundations of both quantum theory and light-matter interactions. In the context of macroscopic media, exact knowledge thereof is import…
Left-handed superlattice metamaterials for circuit QED
Anette Messinger, Bruno G. Taketani, Frank K. Wilhelm
Quantum simulations is a promising field where a controllable system is used to mimic another system of interest, whose properties one wants to investigate. One of the key issues f…