Exploring the application of the MDR-GRAPE algorithm to more complex quantum systems

The gap

Evidence profile

Sourced from the abstract and future-work section and stated research gap of the source papers, classified as general, drawn from work published between 2021 and 2026, spanning 7 journals. Those papers have been cited 232 times in total.

Supporting evidence — 8 representative gaps

• QUBO Modeling of Module Learning With Errors: Stability and Scaling in Post-Quantum Cryptography (2026) · arXiv

  Although current quantum annealing hardware remains insufficient for cryptographically relevant parameters, the proposed methodology offers a structured basis for studying lattice-based problems in quantum optimization settings without implying a practical threat to standardized post-quantum schemes.

  generalabstractevidence 5/5
  Keywords: quantum current annealing hardware remains insufficient cryptographically relevant parameters proposed methodology offers structured basis studying
• Solving wave equation problems on D-Wave quantum annealers (2026) · Quantum Information Processing · doi

  Investigation of the use of quantum annealing to solve more complex problems in physics and engineering. Development of more efficient encoding strategies for quantum annealers. Exploration of the use of hybrid quantum-classical schemes to solve complex problems.

  generalfuture-work sectionevidence 5/5
  Keywords: investigation use quantum annealing solve complex problems physics
• Harmonic Resonance Computing: A Foundational Challenge to Digital Security Paradigms (2026) · Zenodo (CERN European Organization for Nuclear Research) · doi

  Current classical and particle-based quantum cryptanalytic methodologies have inherent limitations. Computationally intensive problems are presently deemed intractable or demonstrably resistant to standard classical computing and projected particle-based quantum computing methods.

  generalstated research gapevidence 5/5
  Keywords: current classical particle-based quantum cryptanalytic methodologies have inherent
• CMOS compatible probabilistic computing hardware with cointegrated reconfigurable p-bits and synapse arrays (2026) · Nature Communications · doi

  The need for a probabilistic computing hardware that can efficiently solve complex combinatorial optimization problems. The limitation of conventional deterministic computing in finding the optimal solution within a feasible time. The requirement for a cryogenic environment in quantum computing.

  generalstated research gapevidence 5/5
  Keywords: need probabilistic computing hardware efficiently solve complex combinatorial
• Efficient Fourier-Based Linear Combination of Unitaries and Applications in Quantum Optimization (2026) · arXiv

  Further development of the Fourier-based LCU framework for quantum optimization algorithms. Application of the approach to various quantum optimization algorithms and problems. Investigation of the scalability of the approach to larger numbers of qubits.

  generalfuture-work sectionevidence 5/5
  Keywords: further development fourier-based lcu framework quantum optimization algorithms
• Optimal dissipative pathways in open quantum systems: a variational framework for environmental heat dissipation minimization (2026) · Frontiers in Physics · doi

  exploring the application of the MDR-GRAPE algorithm to more complex quantum systems, - investigating the effect of different penalty weights on the optimization process, - developing a mathematically guaranteed enforcement of the fidelity requirement

  generalfuture-work sectionevidence 5/5
  Keywords: exploring application mdr-grape algorithm complex quantum systems investigating
• Quantum computing enhanced computational catalysis (2021) · Physical Review Research · cited 232× · doi

  We address the requirements for future quantum hardware in order to make a universal quantum computer a successful and reliable tool for quantum computing enhanced computational materials science and chemistry, and identify open questions for further research.

  generalabstractevidence 4/5
  Keywords: quantum address requirements future hardware order make universal computer successful reliable tool computing enhanced computational
• Quantum annealing for lattice models with competing long-range interactions (2026) · Communications Physics · doi

  Further research is needed to derive and probe general statements about the potential advantage of quantum annealing over classical algorithms. The application of quantum annealing to other research areas, such as statistical mechanics and quantum many-body theory, could be explored.

  generalfuture-work sectionevidence 3/5
  Keywords: further research needed derive probe general statements about

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