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quant-ph2026

Negative quasiprobability trajectories for Bell-diagonal states under local decoherence

Qing Yu, Kun Zhang, Yang-Yang Chen +1

The fluctuation theorem (FT) relates microscopic trajectory distributions to macroscopic averages. Using quasiprobability trajectories, this framework has recently been extended to…

quant-ph2026

Asymptotic optimality of Grover-Radhakrishnan-Korepin algorithm

Kun Zhang, Kang-Yuan Chen, Xiao-Hui Wang +1

Grover's algorithm is a cornerstone of quantum algorithms and is strictly optimal in oracle-query complexity. While the full search problem admits no further improvement, one may t…

quant-ph2026

Asymptotic bounds on quantum partial search algorithm and its applications to parallel search

Yan-Bo Jiang, Xiao-Hui Wang, Kun Zhang +1

Grover's algorithm provides a quadratic speedup over classical algorithms for searching an unstructured database and is known to be strictly optimal in oracle query complexity, wit…

quant-ph2026

Minimal nonintegrable models with three-site interactions

Wen-Ming Fan, Kun Hao, Yang-Yang Chen +3

We study integrability breaking in translationally invariant spin- chains with genuine three-site interactions. Using a two-qubit composite representation, we prove that the d…

quant-ph2025

Absence of local conserved charges of the Fredkin spin chain and its truncated versions

Wen-Ming Fan, Kun Hao, Yang-Yang Chen +3

Conservation laws serve as the hallmark of integrability. The absence of conserved charges typically implies that the model is nonintegrable. The recently proposed Fredkin spin cha…