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Article
Almost Surely Convergence of the Quantum Entropy of Random Graph States and the Area Law
It is known that the ensemble of random pure quantum states, constructed by bipartite maximally entangled states and random unitary matrices generated according to the Haar measure, exhibits an average entangl...
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Article
Primitivity for random quantum channels
In this paper, we consider the empirical spectrum distribution of the output of an n-fold composition of random quantum channels. As a corollary, we show that the random quantum channel is generically primitive. ...
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Article
Quantum channel estimations via indefinite causal order
In this paper, we consider the quantum switch, which is one of the indefinite causal structures, in the study of quantum channel estimation. We show that such an indefinite causal order cannot provide any adva...
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Article
Quantum \(\alpha \) -fidelity of unitary orbits
The extremum values of quantum \(\alpha \) α -fidelity under unitary orbits ...
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Article
Two Multi-Setting Causal Inequalities and Their Violations
In this paper, two simple causal inequalities with 4 inputs and 2 outputs are derived. To this end, we have introduced two causal games, and the corresponding inequality can be derived as an upper bound of the...
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Article
Harmonic Analysis on Quantum Tori
This paper is devoted to the study of harmonic analysis on quantum tori. We consider several summation methods on these tori, including the square Fejér means, square and circular Poisson means, and Bochner-Ri...