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Lyapunov exponents for continuous random transformations

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

作者： ZHU YuJun & ZHANG JinLian College of mathematics and information science, hebei normal university, shijiazhuang 050016, china College of mathematics and information science Hebei Normal University Shijiazhuang 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

Quantum secret sharing between multiparty and multiparty with four states

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science china.Physics,Mechanics & Astronomy) 2007年第5期50卷 572-580页

作者： YAN FengLi1, GAO Ting2 & LI YouCheng1 1 College of Physics and information Engineering, hebei normal university, shijiazhuang 050016, china.2 College of mathematics and information science, hebei normal university, shijiazhuang 050016, china College of Physics and information Engineering Hebei Normal University Shijiazhuang China College of mathematics and information science Hebei Normal University Shijiazhuang China

A protocol of quantum secret sharing between multiparty and multiparty with four states was presented. It was shown that this protocol can nullify the Trojan horse attack with a multi-photon signal, the fake-signal attack with Einstein-Podolsky- Rosen pairs, the attack with single photons, and the attack with invisible photons. In addition, the upper bounds of the average success probabilities were given for dishonest agent eavesdropping encryption using the fake-signal attack with any two-particle entangled states.

关键词： quantum secret sharing, security, Einstein-Podolsky-Rosen pairs

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 science,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 science Hebei Normal University Shijiazhuang China College of Physics and information Engineering Hebei Normal University Shijiazhuang China hebei Advanced Thin Films Laboratory Shijiazhuang 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.mathematics 2009年第9期52卷 1927-1938页

作者： SHAN XiuLing1, 2 1 Department of mathematics, Beijing Jiaotong university, Beijing 100044, china.2 College of mathematics and information science, hebei normal university, shijiazhuang 050016, china Department of mathematics Beijing Jiaotong University Beijing China College of mathematics and information science Hebei Normal University Shijiazhuang 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

The universality and biological significance of signal molecules with intracellular-extracellular compatible functions

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Chinese science Bulletin 2000年第19期45卷 1729-1734页

作者： SUN Dayeinstitute of Molecular Cell Biology, hebei normal university, shijiazhuang 050016, china institute of Molecular Cell Biology Hebei Normal University Shijiazhuang China

Generally, cell signal molecules are classified into the extracellular signal molecules (the first messengers) and the intracellular signal ones (the second messengers). Cyclic adenosine monophosphate (cAMP), calcium ions and calmodulin (CaM) are the traditional intracellular messengers, but they are also present in extracellular matrix (ECM). Some of them have been discovered to act as the first messengers through cell surface receptors. Other second messengers, such as cyclic guanosine monophosphate (cGMP), cyclic adenosine diphosphate ribose (cADPR) and annexin, are also found existing outside animal and plant cells. The existence of these messengers with intracellular-extracellular compatible functions in cells may be a regular biological phenomenon. These compatible messengers might be the communication factors between intracellular and extracellular regions or among the cell populations, and are also important in regulating cell development procedure.

关键词： intracellular signal extracellular signal compatible messenger.

λ-fold indecomposable large sets of Steiner triple systems

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

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

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 science, 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 science Hebei Normal University Shijiazhuang China Max-Planck-Institut für Quantenoptik Garching Germany College of Physics and information Engineering Hebei Normal University Shijiazhuang 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

The spectrum for overlarge sets of directed triple systems

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science china.mathematics 2007年第10期50卷 1369-1381页

作者： Zi-hong TIAN~(1+) Li-jun JI~2 ~1 institute of mathematics,hebei normal university,shijiazhuang 050016,china.~2 Department of mathematics,Suzhou university,Suzhou 215006,china institute of mathematics Hebei Normal University Shijiazhuang China Department of mathematics Suzhou University Suzhou China

A directed triple system of order v, denoted by DTS(v, λ), is a pair (X,B) where X is a v-set and B is a collection of transitive triples on X such that every ordered pair of X belongs to λ triples of B. An overlarge set of disjoint DTS(v, λ), denoted by OLDTS(v, λ), is a collection {(Y\{y}, Ai)}i,such that Y is a (v + 1)-set, each (Y\{y}, Ai) is a DTS(v, λ) and all Ai's form a partition of all transitive triples of Y. In this paper, we shall discuss the existence problem of OLDTS(v, λ) and give the following conclusion: there exists an OLDTS(v, λ) if and only if either λ = 1 and v = 0, 1 (mod 3), or λ = 3 and v≠2.

关键词： overlarge set directed triple system directed candelabra system

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,hebei normal university,shijiazhuang 050016,china.2 hebei 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