Black box work extraction and composite hypothesis testing
K Watanabe, R Takagi - Physical Review Letters, 2024 - APS
Work extraction is one of the most central processes in quantum thermodynamics. However,
the prior analysis of optimal extractable work has been restricted to a limited operational …
the prior analysis of optimal extractable work has been restricted to a limited operational …
Correlation detection and an operational interpretation of the Rényi mutual information
M Hayashi, M Tomamichel - Journal of Mathematical Physics, 2016 - pubs.aip.org
A variety of new measures of quantum Rényi mutual information and quantum Rényi
conditional entropy have recently been proposed, and some of their mathematical properties …
conditional entropy have recently been proposed, and some of their mathematical properties …
A solution of the generalised quantum Stein's lemma
L Lami - arXiv preprint arXiv:2408.06410, 2024 - arxiv.org
We solve the generalised quantum Stein's lemma, proving that the Stein exponent
associated with entanglement testing, namely, the quantum hypothesis testing task of …
associated with entanglement testing, namely, the quantum hypothesis testing task of …
Coding theorems for compound problems via quantum Rényi divergences
M Mosonyi - IEEE Transactions on Information Theory, 2015 - ieeexplore.ieee.org
Recently, a new notion of quantum Rényi divergences has been introduced by Müller-
Lennert, Dupuis, Szehr, Fehr, and Tomamichel and Wilde, Winter, and Yang, which found a …
Lennert, Dupuis, Szehr, Fehr, and Tomamichel and Wilde, Winter, and Yang, which found a …
Measuring quantum relative entropy with finite-size effect
M Hayashi - arXiv preprint arXiv:2406.17299, 2024 - arxiv.org
We study the estimation of relative entropy $ D (\rho\|\sigma) $ when $\sigma $ is known. We
show that the Cram\'{e} r-Rao type bound equals the relative varentropy. Our estimator …
show that the Cram\'{e} r-Rao type bound equals the relative varentropy. Our estimator …
On the error exponents of binary state discrimination with composite hypotheses
The trade-off between the two types of error probabilities in binary state discrimination may
be quantified in the asymptotics by various error exponents. In the composite case, where …
be quantified in the asymptotics by various error exponents. In the composite case, where …
Another quantum version of Sanov theorem
M Hayashi - arXiv preprint arXiv:2407.18566, 2024 - arxiv.org
We study how to extend Sanov theorem to the quantum setting. Although a quantum version
of the Sanov theorem was proposed in Bjelakovic et al (Commun. Math. Phys., 260, p. 659 …
of the Sanov theorem was proposed in Bjelakovic et al (Commun. Math. Phys., 260, p. 659 …
Asymptotic quantification of entanglement with a single copy
Despite the central importance of quantum entanglement in fueling many quantum
technologies, the understanding of the optimal ways to exploit it is still beyond our reach …
technologies, the understanding of the optimal ways to exploit it is still beyond our reach …
Multivariate Fidelities
The main contribution of our paper is to introduce a number of multivariate quantum fidelities
and show that they satisfy several desirable properties that are natural extensions of those of …
and show that they satisfy several desirable properties that are natural extensions of those of …
Exact exponent for atypicality of random quantum states
E Wakakuwa - Journal of Physics A: Mathematical and …, 2024 - iopscience.iop.org
We study the properties of the random quantum states induced from the uniformly random
pure states on a bipartite quantum system by taking the partial trace over the larger …
pure states on a bipartite quantum system by taking the partial trace over the larger …