Exploring the application of the MDR-GRAPE algorithm

The gap

Evidence profile

Sourced from the abstract and stated research gap and future-work section and stated challenges of the source papers, classified as general, spanning 6 journals. Those papers have been cited 4 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
• The Quantum Optimization Benchmarking Library (2026) · Nature Computational Science · cited 2× · doi

  There is a need for a systematic, fair and comparable benchmarking framework for quantum optimization methods. There is a need for a library of problem instances and solutions that can be used to develop and test new quantum optimization algorithms. There is a need to track progress towards quantum advantage in combinatorial optimization.

  generalstated research gapevidence 5/5
  Keywords: there need systematic fair comparable benchmarking framework quantum
• The Quantum Optimization Benchmarking Library (2026) · Nature Computational Science · cited 2× · doi

  Future research should focus on developing new quantum optimization algorithms that can solve the problem instances in the library. Future research should focus on improving the performance of existing quantum optimization algorithms. Future research should focus on exploring new application domains for quantum optimization.

  generalfuture-work sectionevidence 5/5
  Keywords: future research focus developing new quantum optimization algorithms
• 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
• A brief history of quantum vs classical computational advantage (2026) · Quantum · doi

  One challenge is the need to address loopholes in the cross entropy benchmark fidelity. Another challenge is the need to address loopholes in Gaussian boson sampling. A challenge is the need to achieve experimental quantum advantage in Shor's algorithm.

  generalstated challengesevidence 5/5
  Keywords: one challenge need address loopholes cross entropy benchmark
• 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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