Superdense coding: Difference between revisions

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Revision as of 17:02, 26 January 2010

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== General dense coding scheme ==

General dense coding schemes can be formulated in the language used to describe [[quantum channel]]s. Alice and Bob share a maximally entangled state ''ω''. Let the subsystems initially possessed by Alice and Bob be labeled 1 and 2, i.erespectively. To transmit the message ''x'', Alice applies an appropriate channel

:<math>\omega \in H \otimes H </math>

has the maximally mixed state

:<math>\begin{bmatrix} \frac{1}{n} & \; & \; \\ \; & \ddots \; \\ \; & \; & \frac{1}{n} \end{bmatrix}</math>

as its [[partial trace]]. Let the subsystems initially possessed by Alice and Bob be labeled 1 and 2, respectively. To transmit the message ''x'', Alice applies an appropriate channel

:<math>\; \Phi_x</math>