• Korean Journal of Mathematics
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• 제29권1호
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• pp.193-209
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• 2021

In this research, we offer two new quantum integral equalities for recently defined qε2-integral and derivative, the derived equalities then used to prove quantum integral inequalities of Simpson's and Newton's type for preinvex functions. We also considered the special cases of established results and offer several new and existing results inside the literature of Simpson's and Newton's type inequalities.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제12권2호
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• pp.764-785
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• 2018

In this paper, we present a new public key encryption scheme with equality test (PKEwET). Compared to other PKEwET schemes, we find that its security can be improved since the proposed scheme is based on non-Abelian factorization problems. To our knowledge, it is the first scheme regarding equality test that can resist quantum algorithm attacks. We show that our scheme is one-way against chosen-ciphertext attacks in the case that the computational Diffie-Hellman problem is hard for a Type-I adversary. It is indistinguishable against chosen-ciphertext attacks in the case that the Decisional Diffie-Hellman problem is hard in the random oracle model for a Type-II adversary. To conclude the paper, we demonstrate that our scheme is more efficient.

• International Journal of Knowledge Content Development & Technology
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• 제11권3호
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• pp.29-44
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• 2021

The study provides a quantitative and qualitative description of global research in the domain of quantum machine learning (QML) as a way to understand the status of global research in the subject at the global, national, institutional, and individual author level. The data for the study was sourced from the Scopus database for the period 1999-2020. The study analyzed global research output (1374 publications) and global citations (22434 citations) to measure research productivity and performance on metrics. In addition, the study carried out bibliometric mapping of the literature to visually represent network relationship between key countries, institutions, authors, and significant keyword in QML research. The study finds that the USA and China lead the world ranking in QML research, accounting for 32.46% and 22.56% share respectively in the global output. The top 25 global organizations and authors lead with 35.52% and 16.59% global share respectively. The study also tracks key research areas, key global players, most significant keywords, and most productive source journals. The study observes that QML research is gradually emerging as an interdisciplinary area of research in computer science, but the body of its literature that has appeared so far is very small and insignificant even though 22 years have passed since the appearance of its first publication. Certainly, QML as a research subject at present is at a nascent stage of its development.

• 한국초전도ㆍ저온공학회논문지
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• 제16권4호
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• pp.40-43
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• 2014

Quantum information processing using superconducting qubit based on Josephson junction has become one of the most promising candidates for possible realization of a quantum computer. In the heart of the qubit circuits, the superconducting microwave resonator plays a key role in quantum operations and measurements, which enables single-photon level microwave quantum optics. During last decade, the coherence time, or the lifetime of the quantum state, of the superconducting qubit has been dramatically improved. Among several technological innovations, the improvement of superconducting microwave resonator's quality has been the main driving force in getting the qubit performance almost ready for elementary quantum computing architecture. In this paper, I will briefly review very recent progresses of the superconducting microwave resonators especially aimed for quantum device applications during the last decade. The progresses have been driven by ingenious circuit design, material improvement, and new measurement techniques. Even a rather radical idea of three-dimensional large resonators have been successfully implemented in a qubit circuit. All those efforts contributed to our understanding of the qubit decoherence mechanism and as a result to the improvement of qubit performance.

• 한국초전도ㆍ저온공학회논문지
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• 제22권4호
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• pp.62-66
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• 2020

We fabricated superconducting quantum interference devices (SQUIDs) based on Nb Josephson junctions, and characterized the key parameters of the SQUIDs. The SQUIDs are double relaxation oscillation SQUIDs (DROSs) having larger flux-to-voltage transfer coefficient than the standard DC-SQUIDs. SQUID sensors were fabricated by using Nb junction technology consisted of a DC magnetron sputtering and a conventional photolithography process. In multichannel SQUID systems for whole-head magnetoencephalography measurement with a helmet-type SQUID array, we need about 336 SQUID sensors for each system. In this paper, we fabricated a few hundred SQUID sensors, measured the critical current, flux modulation voltage and decided if each tested SQUID can be used for the multichannel systems. As the criterion for the acceptance of the sensors, we chose the critical current and amplitude of the modulation voltage to be 8 ㎂ and 80 ㎶, respectively. The average critical current of the SQUIDs was 10.58 ㎂. The typical flux noise of the SQUIDs with input coil shorted was 2 μΦ0/√Hz at white region.

• 한국자기공명학회논문지
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• 제24권2호
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• pp.59-65
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• 2020

Nitrogen-Vacancy (NV) center in diamond has been an emerging versatile tool for quantum sensing applications. Amongst various applications, nano-scale nuclear magnetic resonance (NMR) using a single or ensemble NV centers has demonstrated promising results, opening possibility of a single molecule NMR for its chemical structural studies or multi-nuclear spin spectroscopy for quantum information science. However, there is a key challenge, which limited the spectral resolution of NMR detection using NV centers; the interrogation duration for NV-NMR detection technique has been limited by the NV sensor spin lifetime (T₁ ~ 3ms), which is orders of magnitude shorter than the coherence times of nuclear spins in bulk liquid samples (T₂ ~ 1s) or intrinsic ¹³C nuclear spins in diamond. Recent studies have shown that quantum memory technique or synchronized readout detection technique can further narrow down the spectral linewidth of NMR signal. In this short review paper, we overview basic concepts of nanoscale NMR using NV centers, and introduce further developments in high spectral resolution NV NMR studies.

• 정보보호학회논문지
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• 제31권3호
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• pp.323-330
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• 2021

최근에는 양자 컴퓨터의 빠른 연산의 장점이 알려지면서 큐비트를 활용한 양자회로에 대한 관심이 높아지고 있다. 그루버 알고리즘은 n-bit의 보안 레벨의 대칭키 암호와 해시 함수를 n/2-bit 보안 레벨까지 낮출 수 있는 양자 알고리즘이다. 그루버 알고리즘은 양자 컴퓨터상에서 동작하기 때문에 적용 대상이 되는 대칭키 암호와 해시함수는 양자 회로로 구현되어야 한다. 이러한 연구 동기로, 최근 들어 대칭키 암호 또는 해시 함수를 양자 회로로 구현하는 연구들이 활발히 수행되고 있다. 하지만 현재는 큐비트의 수가 제한적인 상황으로 최소한의 큐비트 개수로 구현하는 것에 관심을 가지고 효율적인 구현을 목표로 하고 있다. 본 논문에서는 국산 해시함수 LSH 구현에 큐빗 재활용, 사전 연산을 통해 사용 큐빗 수를 줄였다. 또한, Mix, Final 함수와 같은 핵심 연산들을 IBM에서 제공하는 양자 프로그래밍 툴인 ProjectQ를 사용하여 양자회로로 효율적으로 구현하였고 이에 필요한 양자 자원들을 평가하였다.

• 정보보호학회논문지
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• 제33권2호
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• pp.211-222
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• 2023

다변수 이차식 기반 암호알고리즘은 양자컴퓨터에 안전하다고 믿어지는 수학적 난제에 기반을 둔 공개키 암호알고리즘 중의 하나로 현재 사용하고 있는 공개키 암호를 대체할 수 있는 양자내성암호 중의 하나이다. NIST 양자내성암호 공모 3라운드 최종 후보 알고리즘으로 선정되었던 다변수 이차식 기반 전자서명 알고리즘 Rainbow의 다중레이어를 사용하는 구조에 대한 진화된 공격이 대두된 후에 단일 레이어를 이용하는 UOV의 구조에 관심이 집중되고 있다. 본 논문에서는 단일 레이어를 갖는 UOV 구조를 유지하면서 일차식의 특별한 구조, 희소다항식, 랜덤다항식의 다양한 조합을 통해 비밀키의 길이를 대폭 줄이고, 블록 부분 행렬의 역행렬을 이용하여 선형 시스템의 해를 구하는 방법을 적용한 효율적인 다변수 이차식 기반 전자서명 알고리즘을 제안한다. 제안한 전자서명의 안전성 분석을 통해 안전한 파라미터를 설정하고 각 파라미터에서의 키길이와 서명 길이를 비교 분석한다. 제안한 다변수 이차식 기반 전자서명 알고리즘은 서명의 길이가 양자내성 전자서명 중 가장 짧고, 기존 다변수 이차식 기반 전자서명에 비해 비밀키 길이가 최대 97%의 축소 효과를 가진다.

• 정보보호학회논문지
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• 제33권1호
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• pp.75-86
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• 2023

현재 금융거래 서비스에서 보편적으로 사용하는 RSA와 ECC 같은 공개키 암호 알고리즘은 양자 컴퓨터가 실현되면 더 이상 안전성을 보장할 수 없으므로 기존 레거시 알고리즘을 양자내성암호로 전환해야 한다. 하지만 다양한 서비스에 사용 중인 알고리즘을 교체하는 데에는 상당한 시간이 소요될 것으로 예상된다. 다가올 전환기를 대비하기 위하여 두 알고리즘을 결합하는 하이브리드 방식에 관한 연구가 필요하다. 본 논문에서는 레거시 알고리즘인 ECDH 알고리즘과 양자내성암호 알고리즘인 NTRU 알고리즘을 결합하여 세션키를 생성하는 하이브리드 세션키교환 프로토콜을 제안한다. TLS 1.3 기반 하이브리드 키 교환을 위해 IETF에서 제안한 방식들을 적용해본 결과 기존 금융거래 세션 보호 솔루션에 우리가 제안한 프로토콜을 사용하면 안전성을 강화할 수 있을 것으로 기대된다.

• 한국광학회:학술대회논문집
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• 한국광학회 2000년도 제11회 정기총회 및 00년 동계학술발표회 논문집
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• pp.122-123
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• 2000

Fock-state is a highly non-classical radiation-field state. So if one can generate a Fock-state it is possible to study many interesting quantum-mechanical aspects. But in spite of its attraction, it is very difficult to generate a Fock-state experimentally although there have been many theoretical and experimental efforts to do it. Recently Chough et. al.$^{(1)}$ proposed a feasible scheme to achieve quasi number states. The key is to exploit the multi-photon resonances occurring in a driven Jaynes-Cummings system, so it is important to understand the processes at multi-photon resonances. In the present work we study the dynamics of multi-photon resonances in the driven Jaynes-Cummings system. (omitted)