Abstract
Quantum channels with correlated effects are realistic scenarios for the study of noisy quantum communication when the channels are consecutively used. In this paper, superdense coding is reexamined under a correlated amplitude damping (CAD) channel. Two techniques named as weak measurement and environment-assisted measurement are utilized to enhance the capacity of superdense coding. The results show that both of them enable us to battle against the CAD decoherence and improve the capacity with a certain probability. Remarkably, the scheme of environment-assisted measurement always outperforms the scheme of weak measurement in both improving the capacity and successful probability. These notable superiorities could be attributed to the fact that environment-assisted measurement can extract additional information from the environment and thus it performs much better.
Highlights
Superdense coding [1,2] is a simple yet surprising application of non-local properties of entangled states
With the help of two recent techniques named weak measurement (WM) [37,38,39,40,41,42] and environment-assisted measurement (EAM) [43,44,45] and combining with a appropriate quantum measurement reversal (QMR), we propose two probabilistic schemes called as WM+correlated amplitude damping (CAD)+QMR and
Our results offer an active way to improve the capacity of superdense coding under CAD channel, which is rather significant in realistic quantum communication
Summary
Superdense coding [1,2] is a simple yet surprising application of non-local properties of entangled states. Most of the earliest studies on noisy superdense coding are focused on the memoryless or uncorrelated channels Such an uncorrelated noise can be described by a completely positive, trace-preserving (CPTP) map ε in the quantum operation formalism [21]: an input state ρin is mapped into the output state ρout = ε(ρin ). CAD+EAM+QMR, respectively, to further enhance the capacity over the CAD channel The latter scheme is comprehensively superior to the former one in the improvements of capacity as well as successful probability. Our results offer an active way to improve the capacity of superdense coding under CAD channel, which is rather significant in realistic quantum communication. We propose two schemes to enhance the capacity of superdense coding in CAD channel by using WM and EAM.
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