Аннотация:Quantum teleportation is a protocol capable of sending an unknown quantum state between two parties (Alice and Bob). It consists of two channels: the quantum one that is a maximally entangled bipartite state, and the classical one – a standard communication channel. It turns out that quantum channel looks as transmitting signal both forward and back in time (e.g. Penrose, 1998). Also it leads to a phenomenon of conditional time travel, which was confirmed experimentally by Laforest et al. in 2003. In our work we examine reversal time process in quantum teleportation with quantum causal analysis, which is a new method giving a formal definition and quantitative measure of causal connection in any bipartite system. We consider a modified protocol of teleportation without an ancillary classical channel. Instead of the unitary transformation, made by Bob after receiving a classical signal from Alice, he measures his particle. We move a moment of Bob's measurement in time and watch how causality between the input state, the outcome of Alice's joint measurement, and Bob's outcome changes. It turns out that Bob's outcome is always the effect relative to the first two values even in the case when it was obtained before the input state for teleportation was prepared. So we obtain time reversal causality, but with cause consisting of absolutely random variable representing Alice's measurement outcome. Therefore we can say that Bob can receive a message from random future. On the other hand, an implementation of causal analysis to time reversal treatment of teleportation, which introduces a proper time frame for teleporting qubit (different from observer's time frame), shows that in this special time frame all the effects appear after corresponding causes. Besides this demonstration of time reversal causality, we have considered teleportation of qubit which is in causal connection with another qubit. As a result the possibility of causality teleportation has been uncovered.