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19922026
most citedQuaternion Fourier Transform on Quaternion Fields and Generalizations

288 citations

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33 papers · 1 filter

quant-ph2023★ 1 cited

Gauge dependence of the Aharonov-Bohm phase in a quantum electrodynamics framework

A. Hayashi

The Aharonov-Bohm (AB) phase is usually associated with a line integral of the electromagnetic vector potential generated by an external current source, such as a solenoid. Accordi…

quant-ph2022★ 13 cited

Physical symmetries and gauge choices in the Landau problem

Masashi Wakamatsu, Akihisa Hayashi

Due to a special nature of the Landau problem, in which the magnetic field is uniformly spreading over the whole two-dimensional plane, there necessarily exist three conserved quan…

quant-ph2021★ 11 cited

Simple criterion for local distinguishability of generalized Bell states in prime dimension

T. Hashimoto, M. Horibe, A. Hayashi

Local distinguishability of sets of generalized Bell states (GBSs) is investigated. We first clarify the conditions such that a set of GBSs can be locally transformed to a certain…

quant-ph2018★ 3 cited

Quantum-state comparison and discrimination

A. Hayashi, T. Hashimoto, M. Horibe

We investigate the performance of discrimination strategy in the comparison task of known quantum states. In the discrimination strategy, one infers whether or not two quantum syst…

quant-ph2017★ 3 cited

Minimum uncertainty states and completeness of non-negative quasi probability of finite-dimensional quantum systems

T. Hashimoto, A. Hayashi, M. Horibe

We construct minimum-uncertainty states and a non-negative quasi probability distribution for quantum systems on a finite-dimensional space. We reexamine the theorem of Massar and…

quant-ph2013

A Non-Interactive Quantum Bit Commitment Scheme that Exploits the Computational Hardness of Quantum State Distinction

Tomoyuki Yamakami

We propose an efficient quantum protocol performing quantum bit commitment, which is a simple cryptographic primitive involved with two parties, called a committer and a verifier.…