394 citations · 7.2k across the 232 of their papers we have counts for
11 papers · 1 filter
Error Exponent in Asymmetric Quantum Hypothesis Testing and Its Application to Classical-Quantum Channel coding
Masahito Hayashi
In the simple quantum hypothesis testing problem, upper bound with asymmetric setting is shown by using a quite useful inequality by Audenaert et al, quant-ph/0610027, which was or…
Quantum estimation and the quantum central limit theorem
Masahito Hayashi
This paper gives a survey about quantum estimation. We also describes the relation between the quantum central limit theorem and the asymptotic bound of mean square error in quantu…
Statistical analysis on testing of an entangled state based on Poisson distribution framework
Masahito Hayashi, Akihisa Tomita, Keiji Matsumoto
A hypothesis testing scheme for entanglement has been formulated based on the Poisson distribution framework instead of the POVM framework. Three designs were proposed to test the…
Gallager Bound of Classical-Quantum Channel Coding
Masahito Hayashi
This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.
(4,1)-Quantum Random Access Coding Does Not Exist
Masahito Hayashi, Kazuo Iwama, Harumichi Nishimura +2
An (n,1,p)-Quantum Random Access (QRA) coding, introduced by Ambainis, Nayak, Ta-shma and Vazirani in ACM Symp. on Theory of Computing 1999, is the following communication system:…
Quantum Measurements for Hidden Subgroup Problems with Optimal Sample Complexity
Masahito Hayashi, Akinori Kawachi, Hirotada Kobayashi
One of the central issues in the hidden subgroup problem is to bound the sample complexity, i.e., the number of identical samples of coset states sufficient and necessary to solve…
Two non-regular extensions of large deviation bound
Masahito Hayashi
We formulate two types of extensions of the large deviation theory initiated by Bahadur in a non-regular setting. One can be regarded as a bound of the point estimation, the other…
Channel capacities of classical and quantum list decoding
Masahito Hayashi
We focus on classical and quantum list decoding. The capacity of list decoding was obtained by Nishimura in the case when the number of list does not increase exponentially. Howeve…
Hypothesis testing for an entangled state produced by spontaneous parametric down conversion
Masahito Hayashi, Bao-Sen Shi, Akihisa Tomita +3
Generation and characterization of entanglement are crucial tasks in quantum information processing. A hypothesis testing scheme for entanglement has been formulated. Three designs…
Practical Evaluation of Security for Quantum Key Distribution
Masahito Hayashi
Many papers proved the security of quantum key distribution (QKD) system, in the asymptotic framework. The degree of the security has not been discussed in the finite coding-length…
Quantum Network Coding
Masahito Hayashi, Kazuo Iwama, Harumichi Nishimura +2
Since quantum information is continuous, its handling is sometimes surprisingly harder than the classical counterpart. A typical example is cloning; making a copy of digital inform…