output
20052023
most citedApproximate amplitude encoding in shallow parameterized quantum circuits and its application to financial market indicator

101 citations

12 papers

gr-qc2023★ 3 cited

Determining parameters of Kerr black holes at finite distance by shadow observation

Kenta Hioki, Umpei Miyamoto

We propose a new method to determine the physical parameters of Kerr black holes (namely, specific angular momentum , inclination angle , and distance from an observer) o…

quant-ph2022★ 19 cited

Approximate complex amplitude encoding algorithm and its application to data classification problems

Naoki Mitsuda, Tatsuhiro Ichimura, Kouhei Nakaji +6

Quantum computing has a potential to accelerate the data processing efficiency, especially in machine learning, by exploiting special features such as the quantum interference. The…

gr-qc2022★ 6 cited

Determining parameters of a spherical black hole with a thin accretion disk by observing its shadow

Kenta Hioki, Umpei Miyamoto

We revisit the classic system of a spherically symmetric black hole in general relativity (i.e., a Schwarzschild black hole) surrounded by a geometrically thin accretion disk. Our…

quant-ph2021★ 12 cited

Noisy quantum amplitude estimation without noise estimation

Tomoki Tanaka, Shumpei Uno, Tamiya Onodera +2

Many quantum algorithms contain an important subroutine, the quantum amplitude estimation. As the name implies, this is essentially the parameter estimation problem and thus can be…

quant-ph2021★ 101 cited

Approximate amplitude encoding in shallow parameterized quantum circuits and its application to financial market indicator

Kouhei Nakaji, Shumpei Uno, Yohichi Suzuki +6

Efficient methods for loading given classical data into quantum circuits are essential for various quantum algorithms. In this paper, we propose an algorithm called Approximate Amp…

quant-ph2020★ 21 cited

Modified Grover operator for amplitude estimation

Shumpei Uno, Yohichi Suzuki, Keigo Hisanaga +4

In this paper, we propose a quantum amplitude estimation method that uses a modified Grover operator and quadratically improves the estimation accuracy in the ideal case, as in the…

gr-qc2019★ 2 cited

Dynamical Transition from a Naked Singularity to a Black Hole

Kenta Hioki, Tomohiro Harada

We show that a Reissner-Nordström (RN) black hole can be formed by dropping a charged thin dust shell onto a RN naked singularity. This is in contrast to the fact that a RN naked s…

math.PR2018★ 3 cited

Probability density function of SDEs with unbounded and path--dependent drift coefficient

Dai Taguchi, Akihiro Tanaka

In this paper, we first prove that the existence of a solution of SDEs under the assumptions that the drift coefficient is of linear growth and path--dependent, and diffusion coeff…

math.NT2015★ 5 cited

On relative and overconvergent de Rham-Witt cohomology for log schemes

Hironori Matsuue

We construct the relative log de Rham-Witt complex. This is a generalization of the relative de Rham-Witt complex of Langer-Zink to log schemes. We prove the comparison theorem bet…

q-fin.CP2013

Order Estimates for the Exact Lugannani-Rice Expansion

Takashi Kato, Jun Sekine, Kenichi Yoshikawa

The Lugannani-Rice formula is a saddlepoint approximation method for estimating the tail probability distribution function, which was originally studied for the sum of independent…

quant-ph2005★ 54 cited

Quantum Secret Sharing Schemes and Reversibility of Quantum Operations

Tomohiro Ogawa, Akira Sasaki, Mitsugu Iwamoto +1

Quantum secret sharing schemes encrypting a quantum state into a multipartite entangled state are treated. The lower bound on the dimension of each share given by Gottesman [Phys.…

math.PR2005★ 36 cited

On Fractional Tempered Stable Motion

C. Houdré, R. Kawai

Fractional tempered stable motion (fTSm)} is defined and studied. FTSm has the same covariance structure as fractional Brownian motion, while having tails heavier than Gaussian but…