aiqbench analysis
This research introduces a hybrid method combining quantum brachistochrone and Lax pair techniques to efficiently compute time-optimal controls for massive quantum systems, scaling up to 10,000 qubits. By establishing quantum speed limits in large-scale lattices with switchable couplings, the work provides a significant theoretical advancement for optimizing control protocols in future quantum hardware.
Efficient computation of quantum time-optimal control
arXiv:2511.11508v2 Announce Type: replace Abstract: We present an approach to compute time-optimal control of a quantum system which combines quantum brachistochrone and Lax pair techniques and enables efficient investigation of large-scale quantum systems. We illustrate our method by finding the quantum speed limit for a single-particle excitation in a nearest-neighbor-coupled qubit lattice with switchable couplings and fixed sum of their squares. We obtain the solution for a finite system with up to 10 000 qubits and for the effectively infinite lattice closed into ring. As another application of our method, we derive the quantum speed limit for a lattice with time-independent couplings.
Abstract:We present an approach to compute time-optimal control of a quantum system which combines quantum brachistochrone and Lax pair techniques and enables efficient investigation of large-scale quantum systems. We illustrate our method by finding the quantum speed limit for a single-particle excitation in a nearest-neighbor-coupled qubit lattice with switchable couplings and fixed sum of their squares. We obtain the solution for a finite system with up to 10 000 qubits and for the effectively infinite lattice closed into ring. As another application of our method, we derive the quantum speed limit for a lattice with time-independent couplings.
Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Optics (physics.optics)
arXiv:2511.11508 [quant-ph]
(or arXiv:2511.11508v2 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2511.11508 Focus to learn more arXiv-issued DOI via DataCite
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Full text under the publisher's open licence · 196 words
