Decoherence in Grover search algorithm

Sun, Yuan

doi:10.1007/s11128-024-04399-6

Quantum Inf Process

2024

DOI: 10.1007/s11128-024-04399-6

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Decoherence in Grover search algorithm

Yuan Sun

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2024

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Characterizing bipartite states with vanishing basis-dependent correlations

Li,

Zhang,

Luo

et al. 2024

Phys. Rev. A

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Characterizing bipartite states with vanishing basis-dependent correlations

Li,

Zhang,

Luo

et al. 2024

Phys. Rev. A

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Coherence as maximal imaginarity generated by incoherent operations

Zhang,

2024

EPL

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Since both coherence and imaginarity have proven to be fundamental resources in quantum information processing and their definitions are both relative to a given basis, it is natural to investigate the conversion between them. In this work, we prove that a quantum state can be transformed into a state with nonvanishing imaginarity resource by incoherent operations if and only if it has nonvanishing coherence resource. On the other hand, we demonstrate that a quantum state can be transformed into a state with vanishing coherence resource by orthogonal operations if and only if it has vanishing imaginarity resource.Based on these results, we show that for any imaginarity measure, a corresponding coherence measure can be defined as the maximal amount of imaginarity generated by incoherent operations, and that for any coherence quantifier, a corresponding imaginarity quantifier can be defined as the minimal coherence generated by orthogonal operations.

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Decoherence in Grover search algorithm

Cited by 2 publications

References 63 publications

Characterizing bipartite states with vanishing basis-dependent correlations

Characterizing bipartite states with vanishing basis-dependent correlations

Coherence as maximal imaginarity generated by incoherent operations

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