aiqbench analysis
This research establishes tight lower bounds on commutator norms required for approximate quantum state transfer in 1D power-law systems with thermal noise. By demonstrating that runtimes scale algebraically rather than logarithmically with system size, the study clarifies fundamental limits imposed by temperature scaling in qubit lattices. These findings are critical for advancing error mitigation strategies in scalable quantum information processing architectures.
Thermal Throttling of Quantum State Transfer
arXiv:2608.19315v1 Announce Type: new Abstract: Quantum state transfer on qubit lattices is a crucial step in a panoply of quantum information processing tasks. Understanding its fundamental limits in the presence of practical imperfections remains a pressing open question. In particular, it is unclear how thermal noise in the intermediate ancilla sites impedes transfer. In this work, we derive tight lower bounds on the necessary growth of commutator norms to achieve approximate state transfer. Specializing to 1D power-law systems with thermal ancilla states, we demonstrate that state transfer runtimes depend sensitively on the scaling of temperature with system size, improving logarithmic bounds to algebraic ones. Our work extends previous results on exact state transfer to the qualitatively different and more practically relevant regime of approximate state transfer.
Abstract:Quantum state transfer on qubit lattices is a crucial step in a panoply of quantum information processing tasks. Understanding its fundamental limits in the presence of practical imperfections remains a pressing open question. In particular, it is unclear how thermal noise in the intermediate ancilla sites impedes transfer. In this work, we derive tight lower bounds on the necessary growth of commutator norms to achieve approximate state transfer. Specializing to 1D power-law systems with thermal ancilla states, we demonstrate that state transfer runtimes depend sensitively on the scaling of temperature with system size, improving logarithmic bounds to algebraic ones. Our work extends previous results on exact state transfer to the qualitatively different and more practically relevant regime of approximate state transfer.
Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el); Mathematical Physics (math-ph); Atomic Physics (physics.atom-ph)
arXiv:2608.19315 [quant-ph]
(or arXiv:2608.19315v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2608.19315 arXiv-issued DOI via DataCite (pending registration)
Full text under the publisher's open licence · 152 words
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