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Quantum secret sharing between m-party and n-party with six states

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science china(Physics,Mechanics & Astronomy) 2009年第8期52卷 1191-1202页

作者： GAO Ting1,YAN FengLi2.3 & LI YouCheng2.3 1 College of mathematics and information {2.,hebei normal university,shijiazhuang 050016,china 2.College of Physics and information Engineering,hebei normal university,shijiazhuang 050016,china 3 hebei Advanced Thin Films Laboratory,shijiazhuang 050016,china College of mathematics and information {2. Hebei Normal University Shijiazhuang 050016 China College of Physics and information Engineering Hebei Normal University Shijiazhuang 050016 China hebei Advanced Thin Films Laboratory Shijiazhuang 050016 China

A quantum secret sharing scheme between an m-party group and an n-party group is proposed using three conjugate bases.A sequence of single photons,each of which is prepared in one of the six states,is used directly to encode classical information in the quantum secret sharing *** this scheme,each of all m members in group 1 chooses randomly his/her own secret key individually and independently,and directly encodes his/her respective secret information on the states of single photons via unitary operations,then the last one sends 1/n of the resulting qubits to each member of group *** measuring their respective qubits,all members in group 2.share the secret information shared by all members in group *** renders impossible a Trojan horse attack with a multi-photon signal,a fake-signal attack with EPR pairs,an attack with single photons,and an attack with invisible *** give the upper bounds on the average success probabilities for dishonest agent eavesdropping encryption using the fake-signal attack with any two-particle entangled states.

关键词： quantum secret sharing security EPR pairs

Near generalized balanced tournament designs with block sizes 4 and 5

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science china {2. 2009年第9期52卷 1927-1938页

作者： SHAN XiuLing1, 2.1 Department of mathematics, Beijing Jiaotong university, Beijing 100044,{2. 2.College of mathematics and information science, hebei normal university, shijiazhuang 050016,{2. Department of mathematics Beijing Jiaotong University Beijing 100044 China College of mathematics and information {2. Hebei Normal University Shijiazhuang 050016 China

A near generalized balanced tournament design, or an NGBTD(k,m) in short, is a (km+1,k,k-1)-BIBD defined on a (km+1)-set V . Its blocks can be arranged into an m×(km+1) array in such a way that (1) the blocks in every column of the array form a partial parallel class partitioning V\{x} for some point x, and (2. every element of V is contained in precise k cells of each row. In this paper, we completely solve the existence of NGBTD(4,m) and almost completely solve the existence of NGBTD(5,m) with four exceptions.

关键词： near generalized balanced tournament designs frame generalized doubly resolvable packing constructions existence 05B05

Lyapunov exponents for continuous random transformations

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science china {2. 2010年第2期53卷 413-424页

作者： ZHU YuJun & ZHANG JinLian College of mathematics and information {2., hebei normal university, shijiazhuang 050016, china 1. College of mathematics and information {2. Hebei Normal University Shijiazhuang 050016 China

In this paper, the concept of Lyapunov exponent is generalized to random transformations that are not necessarily differentiable. For a class of random repellers and of random hyperbolic sets obtained via small pertur... 详细信息

关键词： random transformation Lyapunov exponent multiplicative ergodic theorem random repeller random hyperbolic set

λ-fold indecomposable large sets of Steiner triple systems

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science china {2. 2010年第11期53卷 2877-2888页

作者： JI LiJun1, TIAN ZiHong2. & KANG QingDe2.1Department of mathematics, Suzhou university, Suzhou 2.5006,{2. 2.ollege of mathematics and information science, hebei normal university, shijiazhuang 050016,{2. 1. Department of mathematics Suzhou University Suzhou 215006 China2. College of Mathematics and Information Science Hebei Normal University Shijiazhuang 050016 China

A family (X, B1), (X, B2., . . . , (X, Bq) of q STS(v)s is a λ-fold large set of STS(v) and denoted by LSTSλ(v) if every 3-subset of X is contained in exactly λ STS(v)s of the collection. It is indecomposable and denoted by IDLSTSλ(v) if there exists no LSTSλ (v) contained in the collection for any λ 1 and orders v ≡ 1, 3 (mod 6) do there exist IDLSTSλ(v)? In this paper, we use partitionable candelabra systems (PCSs) and holey λ-fold large set of STS(v) (HLSTSλ(v)) as auxiliary designs to establish a recursive construction for IDLSTSλ(v) and show that there exists an IDLSTSλ(v) for λ = 2. 3, 4 and v ≡ 1, 3 (mod 6).

关键词： Steiner triple system large set candelabra system indecomposable

Probabilistic teleportation via a non-maximally entangled GHZ state

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Chinese science Bulletin 2010年第10期55卷 902-906页

作者： YAN FengLi1,2.& YAN Tao1,2.1 College of Physics science and information Engineering,{2. normal university,shijiazhuang 050016,china 2.{2. Advanced Thin Films Laboratory,shijiazhuang 050016,china College of Physics science and information Engineering Hebei Normal University Shijiazhuang China hebei Advanced Thin Films Laboratory Shijiazhuang China

We present a scheme for probabilistic teleportation via a non-maximally entangled GHZ *** teleportation will succeed with a calculable *** teleportation process requires the sender to make a generalized Bell state measurement,the cooperator to perform a generalized X basis measurement,and the receiver to perform a collective unitary transformation and to make a measurement on an auxiliary *** success probability of the teleportation is *** also obtain the maximum of the success probability of the teleportation.

关键词：成功概率 GHZ态隐形传送纠缠 Bell态测量量子隐形传态传输过程辅助粒子

ON THE EMPTY CONVEX PARTITION OF A FINITE SET IN THE PLANE

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Chinese Annals of mathematics,Series B 2002年第4期23卷 487-494页

作者： XU CHANGQING DING RENDepartment of mathematics, hebei normal university,{2., china. Department of mathematics Hebei Normal University Shijiazhuang 050016 China

The authors discuss the partition of a finite set of points in the plane into empty convex polygons, and improve some upper bound and lower bound in the related enumeration problems.

关键词： Partition Disjoint partition Empty partition

Influence of MnO_2.on the photocatalytic activity of P-2. TiO_2.in the degradation of methyl orange

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中国科学：化学英文版 2008年第2期51卷 179-185页

作者： LI ShunJun1, MA ZiChuan1,2. WANG Lin1 & LIU JingZe2.1 College of Chemistry and Material sciences, hebei normal university,{2., china 2.College of Life science, hebei normal university,{2., china College of Chemistry and Material sciences Hebej Normal UniversityShijiazhuang 050016China College of Life science Hebei Normal UniversityShijiazhuang 050016China

Influences of α-MnO2. β-MnO2. and δ-MnO2.on the photocatalytic activity of Degussa P-2. TiO2.have been investigated through the photocatalytic degradation of methyl orange. The TiO2.photocatalyst, before and after being contaminated by MnO2. was characterized by UV-visible diffuse reflectance spectroscopy (UV-vis DRS), photoluminescence (PL), and X-ray photoelectron spectroscopy (XPS). The results showed that photocatalytic activity of TiO2.could be inhibited significantly or completely deactivated due to the presence of even a small amount of MnO2.particles. It was found that the poisoning effect varied with the crystal phases of MnO2.and the effect was in the order δ-MnO2.>α-MnO2.>β-MnO2. The poisoning effect was attributed to the formation of heterojunctions between MnO2.and TiO2.particles. The heterojunctions changed the chemical state of Ti4+ and O2.sites in the crystalline phase of TiO2. MnO2.in contact with TiO2.particles also broadens the band-gap of TiO2. which decreases UV absorption of TiO2. It can also create some deep impurity energy levels serving as photoelec-tron-photohole recombination center, which accelerates the electron-hole recombination.

关键词： TiO2 MnO2 deactivation photocatalysis methyl orange

Optimal controlled teleportation via several kinds of three-qubit states

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science china(Physics,Mechanics & Astronomy) 2008年第10期51卷 1529-1556页

作者： GAO Ting1,2. YAN FengLi2.3 & LI YouCheng3 1 College of mathematics and information {2., hebei normal university, shijiazhuang 050016, china 2.Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany 3 College of Physics and information Engineering, hebei normal university, shijiazhuang 050016, china College of mathematics and information {2. Hebei Normal University Shijiazhuang 050016 China Max-Planck-Institut für Quantenoptik Hans-Kopfermann-Str. 1 D-85748 Garching Germany College of Physics and information Engineering Hebei Normal University Shijiazhuang 050016 China

The probability of successful controlled teleportation of an unknown qubit using a general three-particle state is investigated. The analytic expressions of maximal probabilities via several kinds of tripartite states... 详细信息

关键词： controlled teleportation three-qubit state maximal probability

K_0-group and approximate similarity invariants of strongly irreducible operators

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science china {2. 2008年第12期51卷 2231-2252页

作者： HE Hua1, SHI Rui1,2.& MA XiuJuan1 1 School of science, hebei {2. of Technology, Tianjin 300130, china 2.School of mathematics and information science, hebei normal university, shijiazhuang 050016, china 1. School of science Hebei University of Technology Tianjin 300130 China 2. School of mathematics and information {2. Hebei Normal University Shijiazhuang 050016 China

Let H olenote a complex separable Hilbert space and L(H) denote the collection of bounded linear operators on H. An operator T ∈ L(H) is said to be strongly irreducible if T does not commute with any nontrivial idempotent. Herrero and Jiang showed that the norm-closure of the class of all strongly irreducible operators is the class of all operators with connected spectrum. This result can be considered as an "approximate inverse" of the Riesz decomposition theorem. In the paper, we give a more precise characterization of approximate invariants of strongly irreducible operators. The main result is: For any T ∈ L(H) with connected spectrum and ε > 0, there exists a strongly irreducible operator A, such that A - T < ε, V (A (A)) =～ N, K0(A (A)) ～= Z, and A (A)/rad A (A) is commutative, where A (A) denotes the commutant of A and rad A (A) denotes the Jacobson radical of A (A). The research is inspired by the recent similarity classification technique of Cowen-Douglas operators of Jiang Chunlan.

关键词： strongly irreducible operators Cowen-Douglas operators K0-group similarity orbit