activity
20002022
most citedThe Bloch Vector for N-Level Systems

455 citations · 1k across the 34 of their papers we have counts for

collaborators

34 papers

math.QA2022★ 5 cited

One parameter generalization of BW inequality and its application to open quantum dynamics

Dariusz Chruściński, Gen Kimura, Hiromichi Ohno +1

In this paper, we introduce a one parameter generalization of the famous Böttcher-Wenzel (BW) inequality in terms of a -deformed commutator. For matrices and $B…

quant-ph2022★ 14 cited

Construction of general symmetric-informationally-complete-positive-operator-valued measures by using a complete orthogonal basis

Masakazu Yoshida, Gen Kimura

A general symmetric-informationally-complete (GSIC)-positive-operator-valued measure (POVM) is known to provide an optimal quantum state tomography among minimal IC POVMs with a fi…

quant-ph2022

Trade-off relations between measurement dependence and hidden information for factorizable hidden variable models

Ryo Takakura, Kei Morisue, Issei Watanabe +1

The Bell theorem is explored in terms of a trade-off relation between underlying assumptions within the hidden variable model framework. In this paper, recognizing the incorporatio…

quant-ph2022★ 6 cited

Relaxed Bell inequalities as a trade-off relation between measurement dependence and hiddenness

Gen Kimura, Yugo Susuki, Kei Morisue

Quantum correlations that violate the Bell inequality cannot be explained by any (measurement independent) local hidden variable theory. However, the violation only implies incompa…

math.QA2022

Bounding the Frobenius norm of a q-deformed commutator

Dariusz Chruściński, Gen Kimura, Hiromichi Ohno +1

For two complex matrices and , we define the -deformed commutator as for a real parameter . In this paper, we investigate a gen…

math-ph2021

Constraints for the spectra of generators of quantum dynamical semigroups

Dariusz Chruscinski, Ryohei Fujii, Gen Kimura +1

Motivated by a spectral analysis of the generator of completely positive trace-preserving semigroup, we analyze a real functional $$ A,B \in M_n(\mathbb{C}) \to r(A,B) = \frac{1}{2…