The BTQI scheme, which consists of a BS, an SF, wave-plates (WPs), a CNOT gate, and a CZ gate on Alice’s side. On Bob’s side, it has an SF-1, an SF, a BS, PBSs, a 45-PBS, PDs (D), and two CNOT gates. The state |φ〉_A (|ψ〉_B) is an unknown state of the photon that Alice (Bob) wants to send to Bob (Alice). The state|φ〉_A (|ψ〉_B) is recovered by Bob (Alice) by using proper unitary operation U_B (U_A). The suitable operation is determined by the information about the initial polarization of the transferred photon T (1 bit), the measured path and polarization of the transferred photon T, and the measured polarization of photon B in PDs (3 bits). Subsequently, the state of Alice’s photon A is reconstructed at the final destination of Bob’s photon 2, (|φ〉_A → |R〉₂), and the state of Bob’s photon B is reconstructed at the final destination of Alice’s photon A, (|ψ〉_B → |φ〉_A).