Authors: Dhananjay P. Mehendale
We develop a simple yet impossible looking quantum protocol for achieving instantaneous teleportation of any arbitrary quantum state from Alice to Bob even when Bob is several light years away. We construct this quantum protocol by approriately combining two celebrated results: the existing quantum teleportation protocol  and the quantum algorithm for searching an unknown target . The existing quantum teleportation protocol  requires certain classical communication between the participents, Alice and Bob. Alice has to send certain classical information in terms of classical bits generated during her Bell basis measurement over a classical channel to Bob using which Bob determines the exact recovery operation to be performed on the qubit(s) in his possession for the creation of the same unknown quantum state at his place and thus to complete the protocol. This classical information in Alice's possession in terms of certain classical bits cannot be sent to Bob with the speed faster than that of light which is the well known experimentally varied universal upper limit on the speed for the transmission of signals over a classical channel. We show that by appropritely using Grover's algorithm  at the appropriate place in the teleportation protocol  and its extension for teleporting multiqubit state  we can eliminate the requirement of the transmission of the classical bits by Alice over a classical channel to Bob for the creation of the unknown quantum state at his place and thus provide an eloquent way out to free ourselves from the universal upper limit on speed that is preventing us from the superluminal information transfer. Thus our new modied teleportation protocol clearly demonstrates the enormous advantage of remaining in the quantum regime and avoiding the requirement of any classical communication.
Comments: 10 pages
[v1] 2017-10-26 03:35:47
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