Quantum Information Processing (2019) 18:353 https://doi.org/10.1007/s11128-019-2456-6 Bidirectional quantum teleportation of an arbitrary number of qubits over noisy channel Mohammad Sadegh Sadeghi-Zadeh 1 · Monireh Houshmand 1 · Hossein Aghababa 2,3 · Mohammad Hossein Kochakzadeh 4 · Fahimeh Zarmehi 1 Received: 24 November 2018 / Accepted: 11 September 2019 © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract This study presents a bidirectional quantum teleportation of two quantum states with an arbitrary number of qubits, n, for the first time. This protocol utilizes a particular state with 4n qubits as a quantum channel. The required operators include CNOT, Paulis and single-qubit measurements. In this paper, we also present a comprehensive noise analysis for the proposed protocol. Keywords Bidirectional quantum teleportation · Arbitrary N -qubit state · Measurement bases · Unitary operations B Monireh Houshmand m.hooshmand@imamreza.ac.ir Mohammad Sadegh Sadeghi-Zadeh sadegh.sadeghizadeh@yahoo.com Hossein Aghababa aghababa@ut.ac.ir Mohammad Hossein Kochakzadeh mhkochakzadeh@ut.ac.ir Fahimeh Zarmehi f.zarmehi@gmail.com 1 Electrical Engineering Department, Imam Reza International University, Mashhad, Iran 2 Faculty of Engineering, College of Farabi, University of Tehran, Tehran, Iran 3 Sorbonne University, Pairs, France 4 Department of Electrical Engineering, College of Engineering, University of Tehran, Tehran, Iran 0123456789().: V,-vol 123