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Case study: Mathematics for Quantum Information. A Quantum Leap at the INI

The achievement of three programme participants during their time at INI was to obtain and prove the correctness of quantum counterparts to the Shannon formula.

They proved that for a broad class of Bosonic Gaussian channels, the capacity is optimised when the transmitted signal is in a coherent state, that is the quantum state with the lowest possible uncertainty. Ironically, but as has happened in the proof of countless mathematical theorems, this breakthrough came about as a direct result of a push by these individuals to find a counter example to the problem.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons