연구활동 Research activities

논문
  • [국외]
  • There exist infinitely many kinds of partial separability/entanglement, Journal of Mathematical Physics 63 (2022)
  • Comment on “Separability of completely symmetric states in a multipartite system”, Physical Review A 104 (2021)
  • Separability of multi-qubit states in terms of diagonal and anti-diagonal entries, Quantum Information Processing 18 (2019)
  • Construction of exposed indecomposable positive linear maps between matrix algebras, LINEAR MULTILINEAR ALGEBRA 64 (2016)
  • Construction of three-qubit genuine entanglement with bipartite positive partial transposes, Physical Review A 93 (2016)
  • Multi-partite separable states with unique decompositions and construction of three qubit entanglement with positive partial transpose, Journal Of Physics A-Mathematical And Theoretical 48 (2015)
  • Global Geometric Difference Between Separable and Positive Partial Transpose States, Open Systems & Information Dynamics 21 (2014)
  • Separable States with Unique Decompositions, Communications In Mathematical Physics 328 (2014)
  • Notes on extremality of the Choi map, Linear Algebra And Its Applications 439 (2013)
  • Exposedness of Choi-Type Entanglement Witnesses and Applications to Lengths of Separable States, Open Systems & Information Dynamics 20 (2013)
  • Geometry for separable states and construction of entangled states with positive partial transposes, PHYSICAL REVIEW A 88 (2013)
  • Separability of qubit-qudit quantum states with strong positive partial transposes, PHYSICAL REVIEW A 87 (2013)
  • Entanglement witnesses arising from Choi type positive linear maps, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 45 (2012)
  • Optimal indecomposable witnesses without extremality or the spanning property, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 45 (2012)
  • The structural physical approximations and optimal entanglement witnesses, JOURNAL OF MATHEMATICAL PHYSICS 53 (2012)
  • Optimality for indecomposable entanglement witnesses, PHYSICAL REVIEW A 86 (2012)
  • Optimal witnesses detecting positive-partial-transpose entangled states in C-n circle times C-n, PHYSICAL REVIEW A 86 (2012)
  • Geometry of the Faces for Separable States Arising from Generalized Choi Maps, OPEN SYSTEMS INFORMATION DYNAMICS 19 (2012)
  • Entanglement Witnesses Arising from Exposed Positive Linear Maps, Open Systems & Information Dynamics 18-4 (2011)
  • One-parameter family of indecomposable optimal entanglement witnesses arising from generalized Choi maps, Physical Review A 84-2 (2011)
  • Comment on "Separability criterion and local information in separable states" [Phys. Lett. A 327 (2004) 103], Physics Letters A 375-3 (2011)
  • Range Criterion for separability, Physical Review A 82-6 (2010)
  • Sufficient criterion for separability of bipartite states, Physical Review A 82-1 (2010)
  • Entangled states with strong positive partial transpose, Physical Review A 81-6 (2010)
  • Comment on "Extreme rays in 3x3 entangled edge states with positive partial transposes" [Phys. Lett. A 369 (2007) 16], Physics Letters A 373-26 (2009)
  • Comment on: "Construction of bound entangled edge states with special ranks" [Phys. Lett. A 359 (2006) 603], Physics Letters A 361-6 (2007)
  • Construction of 3x3 entangled edge states with postive partial transpose, Journal of Physics A: Mathematical and General 38-41 (2005)
  • Key exchange protocol using matrix algebras and its analysis, Journal of the Korean Mathematical Society 42-6 (2005)

  •  
  • [국내]
  • An algorithm for checking extremality of entangled states with positive partial transposes, Journal of the chungcheong mathematical society 23-4 (2010)
  • 우리나라 고등학교 수학 교과서에서 함수의 증감과 극대 극소를 설명하는 방식에 대한 비판적 논의 (A Critical Analysis on an explanation for Monotonicity and Local Extrema of functions in Korean Mathematics Textbooks, 한국수학교육학회지 시리즈 A -수학교육 49-2 (2010)
  • An improved baby-step-giant-step method for certain elliptic curves, Journal of Applied Mathematics and Computing 20-1,2 (2006)
저역서
  • 해설이 있는 선형대수학 - 이론편, 2015-10
  • 해설이 있는 선형대수학 - 문제해설편, 2015-10
  • 기하와 벡터, 2009-07
  • 적분과 통계, 2009-07
  • 수학II 익힘책, 2009-07
  • 수학II, 2009-07
  • 기하와 벡터 익힘책, 2009-07
  • 적분과 통계 익힘책, 2009-07
  • 교양을 위한 대학수학제2권 다변수함수의 미적분제2권 다변수함수의 미적분, 2005-07
  • 교양을 위한 대학수학제 1권: 일변수 함수의 미적분과 그 응용제 1권: 일변수 함수의 미적분과 그 응용, 2005-02
학술발표
  • Algebraic cryptanalysis using Grobner basis, 2006 KIAS-KMS Workshop on Cryptography(대한수학회,KIAS)(대한수학회,KIAS), 2006-06