To establish an applicable system for advanced quantum information processing between light and atoms, we have demonstrated the quantum non-demolition (QND) measurement with a collective spin of cold ytterbium atoms ( 171 Yb), and observed 1.8 +2.4 −1.5 dB spin squeezing. Since a 171 Yb atom has only a nuclear spin of 1/2 in the ground state, the system is the simplest spin ensemble and robust against decoherence. We used very short pulses with the width of 100 ns, so the interaction time became much shorter than the decoherence time, which is important for multi-step quantum information processing.PACS numbers: 42.50.Ct, 42.50.Dv Quantum non-demolition (QND) measurements are measurements in which the strategy is chosen to evade the undesirable effect of back action [1,2]. They have been developed to manage the quantum noise, and are also useful for a quantum-state preparation device and producing a quantum entanglement [3] as well as a feasible model to capture basic features of a quantum measurement process [1,2]. Previously, the QND measurement of the photon number and the amplitude quadrature of light have been realized [4,5,6,7]. The QND measurement of the collective spin is also considerably interesting, and in fact the QND interaction of collective spin of an atomic ensemble (spin-QND interaction) via the Faraday-rotation interaction with linearly-polarized off-resonant light has been proposed [8,9]. An implication is the spin squeezed state [10], which could improve the measurement precision of the atomic clock transition [11,12] and of the permanent electric dipole moment to test the violation of time reversal symmetry [13]. The spin-QND interaction is also useful for implementing continuous-variable quantum information devices, such as quantum memory and quantum teleportation [3,14,15,16,17]. The variety of the interactions and tunability of their strength are useful characteristics of atoms whereas the property of the interaction is rather fixed by the parameter of the non-linear crystal for the case of the QND measurement in optics [1].Previous experimental approaches for the spin-QND interaction [3,18] used thermal alkali atoms and continuous-wave light or long pulsed light of typically 1 ms width, which is comparable with the decoherence time of the atomic spin [3,18]. Hence, it is essential to implement the interaction with shorter pulses and more controllable cold atoms for composing the quantum interface where more-than-twice interactions between the atoms and light beam are required [17]. In addition, it should be noted that the description of the spin-QND interaction is based on the standard model of the collective spin composed of the spin one-half atoms [19,20]. However, the cesium atoms used in the previous experiments have more complicated multi-level structures, which causes serious difficulties as is pointed out in Ref. [19,20]. Therefore, it is widely valuable to demonstrate the spin-QND interaction with cold spin one-half atoms and short pulses.In this Letter, we report the success...