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Generative quantum combinatorial optimization by means of a novel conditional generative quantum eigensolver

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arxiv 2501.16986 v1 pith:3KETFOA6 submitted 2025-01-28 quant-ph cs.AIcs.LG

Generative quantum combinatorial optimization by means of a novel conditional generative quantum eigensolver

classification quant-ph cs.AIcs.LG
keywords quantumgenerativeproblemscomputingbeencircuitclassicalcombinatorial
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Quantum computing is entering a transformative phase with the emergence of logical quantum processors, which hold the potential to tackle complex problems beyond classical capabilities. While significant progress has been made, applying quantum algorithms to real-world problems remains challenging. Hybrid quantum-classical techniques have been explored to bridge this gap, but they often face limitations in expressiveness, trainability, or scalability. In this work, we introduce conditional Generative Quantum Eigensolver (conditional-GQE), a context-aware quantum circuit generator powered by an encoder-decoder Transformer. Focusing on combinatorial optimization, we train our generator for solving problems with up to 10 qubits, exhibiting nearly perfect performance on new problems. By leveraging the high expressiveness and flexibility of classical generative models, along with an efficient preference-based training scheme, conditional-GQE provides a generalizable and scalable framework for quantum circuit generation. Our approach advances hybrid quantum-classical computing and contributes to accelerate the transition toward fault-tolerant quantum computing.

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Cited by 7 Pith papers

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    Transformers trained on ADAPT-VQE data generate imipramine ground-state circuits in seconds at roughly reference accuracy — and beat the training data after reinforcement learning — though real-hardware energies still...

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  3. Identification of quantum generative circuits with parallel quantum neural network

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    The authors present Pilot-Quantum, a middleware for adaptive resource management in hybrid quantum-HPC systems, along with execution motifs and a performance modeling toolkit called Q-Dreamer.

  5. Generative quantum eigensolver with constrained circuit-cutting overhead

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    The authors extend generative quantum eigensolver to produce circuits with upper-bounded quantum circuit-cutting overhead for molecular ground-state search, tested via transformer decoder on BeH2 with a new loss funct...

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