We show how the spin independent scattering of two initially distant qubits, say, in distinct traps or in remote sites of a lattice, can be used to implement an entangling quantum gate between them. The scattering takes place under 1D confinement for which we consider two different scenarios: a 1D wave-guide and a tight-binding lattice. We consider models with contact-like interaction between two fermionic or two bosonic particles. A qubit is encoded in two distinct spins (or other internal) states of each particle. Our scheme enables the implementation of a gate between two qubits which are initially too far to interact directly, and provides an alternative to photonic mediators for the scaling of quantum computers. Fundamentally, an interesting feature is that "identical particles" (e.g., two atoms of the same species) and the 1D confinement, are both necessary for the action of the gate. Finally, we discuss the feasibility of our scheme, the degree of control required to initialize the wave-packets momenta, and show how the quality of the gate is affected by momentum distributions and initial distance. In a lattice, the control of quasi-momenta is naturally provided by few local edge impurities in the lattice potential.
 C. Muldoon, L. Brandt, J. Dong, D. Stuart, E. Brainis, M. Himsworth, A. Kuhn, New. J. Phys 14, 073051 (2012).
 M. Schlosser, J. Kruse, C. Gierl, S. Teichmann, S. Tichelmann, G. Birkl, New. J. Phys. 14, 123034 (2012).
 D. Barredo et al., Phys. Rev. Lett. 114, 113002 (2015).
 M. Saffman, J. Phys. B: At. Mol. Opt. Phys. 49 202001 (2016).
 D. G. Angelakis, M. F. Santos, V. Yannopapas and A. Ekert, Phys. Lett. A. 362, 377 (2007).
 A. V. Gorshkov, J. Otterbach, E. Demler, M. Fleischhauer, M. D. Lukin, Phys. Rev. Lett. 105, 060502 (2010).
 F. Ciccarello et al., New J. of Phys. 8, 214 (2006); F. Ciccarello et al., Phys. Rev. Lett. 100, 150501 (2008).
 M. Lewenstein, B. A. Malomed, New J. Phys. 11, 113014 (2009).
 L. Isenhower et al., Phys. Rev. Lett. 104, 010503 (2010).
 T. Wilk et al., Phys. Rev. Lett. 104, 010502 (2010).
 L. Banchi, A. Bayat, P. Verrucchi, and S. Bose, Phys. Rev. Lett. 106, 140501 (2011).
 V.E. Korepin, N.M. Bogoliubov and A.G. Izergin, Quantum Inverse Scattering Method and Correlation Functions, Cambridge University Press, 1993; Eq.1.11, p 5.
 A. H. van Amerongen et al., Phys. Rev. Lett. 100, 090402 (2008).
 T. Betz et al., Phys. Rev. Lett. 106, 020407 (2011). \bibitem R. Bucker et al., Nature Physics 7, 608 (2011).
 G. Pagano, M. Mancini, G. Cappellini, P. Lombardi, F. Schäfer, H. Hu, X.-J. Liu, J. Catani, C. Sias, M. Inguscio, L. Fallani, Nature Physics 10, 198-201 (2014).
 C. Weitenberg: Fluorescence Imaging of Quantum Gases. In Quantum Gas Experiments, vol. Volume 3 of Cold Atoms, pp. 121-143 (Imperial College Press) (2014).
 M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions, (Dover, New York, 1972), page 298.
 B. Gaveau, L. S. Schulman, Journal of Physics A: Mathematical and General, 19(10), 1833, (1986).
 M. Gaudin, The Bethe Wavefunction, Cambridge University Press (2014).
 M. Lewenstein, A. Sanpera, V. Ahufinger, Ultracold Atoms in Optical Lattices, Oxford University Press (2012).
 L. Banchi, T. J. G. Apollaro, A. Cuccoli, R. Vaia, P. Verrucchi, New. J. Phys 13, 123006 (2011).
 Saikat Sur and V Subrahmanyam, "Interference of the signal from a local dynamical process with the quantum state propagation in spin chains", Journal of Physics A: Mathematical and Theoretical 52 1, 015302 (2019).
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