We present a way for symmetric multiparty-controlled teleportation of an arbitrary two-particle entangled state based on Bell-basis measurements by using two Greenberger-Horne-Zeilinger states, i.e., a sender transmits an arbitrary two-particle entangled state to a distant receiver, an arbitrary one of the n + 1 agents via the control of the others in a network. It will be shown that the outcomes in the cases that n is odd or it is even are different in principle as the receiver has to perform a controlled-not operation on his particles for reconstructing the original arbitrary entangled state in addition to some local unitary operations in the former. Also we discuss the applications of this controlled teleporation for quantum secret sharing of classical and quantum information. As all the instances can be used to carry useful information, its efficiency for qubits approaches the maximal value.Horne-Zeilinger (GHZ) state |ψ L = 1 √ 2 (|1010 + |0101 ). Recently, Rigolin [17] showed a way to teleport an arbitrary two-qubit entangled state with a four-particle entangled state |ψ R = 1 2 (|0000 + |0101 + |1010 + |1111 ) and four-particle joint measurements.Recently, controlled teleporation for a single-qubit |χ = a| ↑ + b| ↓ [33,34] [35] have been studied. In those teleportation protocols, the qubits can be regenerated by one of the receivers with the help of the others. Those principles can be used to split a quantum secret in QSS [19]. In this paper, we will present a symmetric protocol for multiparty-controlled teleportation of an arbitrary two-particle entangled state with two GHZ states and

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Tight gas is one important unconventional hydrocarbon resource that is stored in tight sandstone, whose mechanical property greatly influences the tight gas production process and is commonly believed to be simply elastic when designing the stimulation plan. However, the experimental evidence provided in this work surprisingly shows that tight sandstone can deform in a viscoelastic way. Such an unexpected observation poses a challenge in accurately modelling the deformation process. We solve this problem by adopting the fractional Maxwell model to successfully derive the constitutive equation of tight sandstone, based on which not only all the experimental data can be interpreted quantitatively, but also reasonable and consistent predictions as to tight sandstone’s long-term deformation behaviour can be made. We then investigate the typicality of our results in China’s Changqing oilfield, which is one major centre of tight gas production and where the rock samples for experiments are obtained. It is estimated that a non-negligible portion of 18% tight sandstone samples in this area will probably display viscoelasticity. Finally, our work implies that the mechanical properties of other materials may also need further scrutiny to possibly uncover any unexpected behaviour, overlooking which may result in misleading predictions.

With the increasingly deep studies in physics and technology, the behavior of fractional oscillators has become a focus of scientific research. In this paper, the stochastic resonance (SR) mechanism of a fractional oscillator with random damping and random spring stiffness is extensively investigated. Using the Shapiro–Loginov formula and the Laplace transformation technique, the exact expression for complex susceptibility is obtained. Resorting to numerical simulations, the SR phenomenon of a fractional oscillator is studied. It is found that the influence of the fractional order of a fractional oscillator induces the SR phenomenon. In particular, the influence of the friction coefficient induces multiresonance.