14 citations · 41 across the 15 of their papers we have counts for
18 papers
Resource Theory of Aquaternionicity: Every Pure State Is a Replicable Resource for Exact Simulation of Arbitrary Quantum Operations
Hayato Arai, Yasuaki Nakayama
An alchemical resource theory admits a nonfree state that can be exactly replicated by free operations and whose finitely many copies enable exact simulation of arbitrary quantum i…
Universal distillation of quantum entanglement
Ryuji Takagi, Kaito Watanabe, Takaya Matsuura +2
Distillable entanglement---the maximum rate of Bell states extractable from the given noisy entangled states via local operations and classical communication (LOCC)---has been a ce…
Inverse Problem of Alchemical Resource Theory: Replication and Universal Simulation Single Out Imaginarity and Parity Asymmetry
Yasuaki Nakayama, Hayato Arai
Quantum resource theories usually begin with a prescribed free structure and ask what tasks become possible when a resource is supplied. We study the inverse problem of alchemical…
Entanglement Generation Beyond Quantum Theory: From Product States to Popescu-Rohrlich Boxes
Shun Umekawa, Akihiro Hokkyo, Hayato Arai +1
Entanglement generation is a fundamental dynamical capability in quantum information science and underpins many quantum advantages. While quantum theory enables it through unitary…
Intersubjectivity as a principle determining physical observables and non-classicality
Shun Umekawa, Koki Ono, Hayato Arai
We identify an operational principle that singles out Projection-Valued Measures (PVMs) among general Positive Operator-Valued Measures (POVMs), bridging the modern quantum measure…
Autoequivalences and stability conditions on a degenerate K3 surface
Hayato Arai
We study autoequivalences and stability conditions on the derived category of coherent sheaves on a singular surface which arises as an open subvariety of a type III Kulikov de…
Hypothesis testing and Stein's lemma in general probability theories with Euclidean Jordan algebra and its quantum realization
Kanta Sonoda, Hayato Arai, Masahito Hayashi
Even though quantum information theory gives advantage over classical information theory, these two information theories have a structural similarity that many exponet rates of inf…
Quantum Implementation of Non-Positive-Operator-Valued Measurements in General Probabilistic Theories by Post-Selected POVMs
Hayato Arai, Masahito Hayashi
It is important problem to clarify the class of implementable quantum measurements from both fundamental and applicable viewpoints. Positive-Operator-Valued Measure (POVM) measurem…
Derivation of Standard Quantum Theory via State Discrimination
Hayato Arai, Masahito Hayashi
It is a key issue to characterize the model of standard quantum theory out of general models by an operational condition. The framework of General Probabilistic Theories (GPTs) is…
One-shot and asymptotic classical capacity in general physical theories
Shintaro Minagawa, Hayato Arai
With the recent development of quantum information theory, some attempts exist to construct information theory beyond quantum theory. Here we consider hypothesis testing relative e…
The Diversity of Entanglement Structures with Self-Duality and Non-Orthogonal State Discrimination in General Probabilistic Theories
Hayato Arai
This thesis deals with General Probabilistic Theories (GPTs) and Entanglement Structures (ESs). An ES is a possible structure of a quantum composite system in GPTs, which is not un…
Half-spherical twists on derived categories of coherent sheaves
Hayato Arai
For a flat morphism between smooth quasi-projective varieties and its fiber , we prove that spherical objects on pushed-forward from indu…
Detection of Beyond-Quantum Non-locality based on Standard Local Quantum Observables
Hayato Arai, Baichu Yu, Masahito Hayashi
Device independent detections of quantum non-locality like Bell-CHSH inequality are important methods to detect quantum non-locality because the whole protocol can be implemented b…
Pseudo standard entanglement structure cannot be distinguished from standard entanglement structure
Hayato Arai, Masahito Hayashi
An experimental verification of the maximally entangled state ensures that the constructed state is close to the maximally entangled state, but it does not guarantee that the state…
Von Neumann's information engine without the spectral theorem
Shintaro Minagawa, Hayato Arai, Francesco Buscemi
Von Neumann obtained the formula for the entropy of a quantum state by assuming the validity of the second law of thermodynamics in a thought experiment involving semipermeable mem…
Non-standard entanglement structure of local unitary self-dual models as a saturated situation of repeatability in general probabilistic theories
Hayato Arai, Masahito Hayashi
We study the entanglement structure, i.e., the structure of quantum composite system from operational aspects. The structure is not uniquely determined in General Probabilistic The…
Perfect Discrimination in Approximate Quantum Theory of General Probabilistic Theories
Yuuya Yoshida, Hayato Arai, Masahito Hayashi
As a modern approach for the foundation of quantum theory, existing studies of General Probabilistic Theories gave various models of states and measurements that are quite differen…
Perfect Discrimination of Non-Orthogonal Separable Pure States on Bipartite System in General Probabilistic Theory
Hayato Arai, Yuuya Yoshida, Masahito Hayashi
We address perfect discrimination of two separable states. When available states are restricted to separable states, we can theoretically consider a larger class of measurements th…