[HTML][HTML] Encoding-independent optimization problem formulation for quantum computing

F Dominguez, J Unger, M Traube, B Mant… - Frontiers in Quantum …, 2023 - frontiersin.org
We review encoding and hardware-independent formulations of optimization problems for
quantum computing. Using this generalized approach, an extensive library of optimization …

[HTML][HTML] Constrained optimization via quantum zeno dynamics

D Herman, R Shaydulin, Y Sun, S Chakrabarti… - Communications …, 2023 - nature.com
Constrained optimization problems are ubiquitous in science and industry. Quantum
algorithms have shown promise in solving optimization problems, yet none of the current …

Rydberg-blockade-based parity quantum optimization

M Lanthaler, C Dlaska, K Ender, W Lechner - Physical Review Letters, 2023 - APS
We present a scalable architecture for solving higher-order constrained binary optimization
(HCBO) problems on current neutral-atom hardware operating in the Rydberg blockade …

Universal parity quantum computing

M Fellner, A Messinger, K Ender, W Lechner - Physical Review Letters, 2022 - APS
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 …

Error mitigation for quantum approximate optimization

A Weidinger, GB Mbeng, W Lechner - Physical Review A, 2023 - APS
Solving optimization problems on near term quantum devices requires developing error
mitigation techniques to cope with hardware decoherence and dephasing processes. We …

Near-optimal circuit design for variational quantum optimization

B Bakó, A Glos, Ö Salehi, Z Zimborás - arXiv preprint arXiv:2209.03386, 2022 - arxiv.org
Current state-of-the-art quantum optimization algorithms require representing the original
problem as a binary optimization problem, which is then converted into an equivalent Ising …

Approaching Collateral Optimization for NISQ and Quantum-Inspired Computing (May 2023)

MC Giron, G Korpas, W Parvaiz… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Collateral optimization refers to the systematic allocation of financial assets to satisfy
obligations or secure transactions while simultaneously minimizing costs and optimizing the …

Parity Quantum Computing as -Plane Measurement-Based Quantum Computing

ID Smith, HP Nautrup, HJ Briegel - Physical Review Letters, 2024 - APS
We show that universal parity quantum computing employing a recently introduced constant
depth decoding procedure is equivalent to measurement-based quantum computation …

Parity quantum optimization: Benchmarks

M Fellner, K Ender, R ter Hoeven, W Lechner - Quantum, 2023 - quantum-journal.org
We present benchmarks of the parity transformation for the Quantum Approximate
Optimization Algorithm (QAOA). We analyse the gate resources required to implement a …

Constant depth code deformations in the parity architecture

A Messinger, M Fellner… - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
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 …