Abstract:Any quantum communication task requires a common reference frame (i.e. phase, coordinate system). In particular Quantum Key Distribution requires different bases for preparation and measurements of states which are obviously based on the existence of a common frame of reference. Here we show how QKD can be achieved in the absence of any common frame of reference. We study the coordinate reference frame, where the two parties do not even share a single direction, but the method can be generalized to other gener… Show more
“…Alternatively, the second strategy includes different reference independent methods of information sharing [18,19,20,21,22,23,24,25,26]. The most well-known method in this context is the approach of Decoherence Free Subspaces (DFS) [18,19].…”
We investigate the problem of communicating three parameters in the absence of shared reference frame. We explore two methods in which the relative angles of spins are used to encode the parameters. In the first method we use three spins that carry the information in their relative angles while in the second method we use three disjoint spin-pairs and the information is sent through the relative angles of each individual pair. We show that in the first method, the information conveyed by each qubit is more than the second one, and that is while it requires fewer particles.
“…Alternatively, the second strategy includes different reference independent methods of information sharing [18,19,20,21,22,23,24,25,26]. The most well-known method in this context is the approach of Decoherence Free Subspaces (DFS) [18,19].…”
We investigate the problem of communicating three parameters in the absence of shared reference frame. We explore two methods in which the relative angles of spins are used to encode the parameters. In the first method we use three spins that carry the information in their relative angles while in the second method we use three disjoint spin-pairs and the information is sent through the relative angles of each individual pair. We show that in the first method, the information conveyed by each qubit is more than the second one, and that is while it requires fewer particles.
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