PICTURING QUANTUM PROCESSES: A First Course in Quantum Theory and Diagrammatic Reasoning by Coecke Bob & Kissinger Aleks

Author:Coecke, Bob & Kissinger, Aleks
Language: eng
Format: epub
Publisher: Cambridge University Press
Published: 2017-03-30T16:00:00+00:00

7.2.2Example: Gate Teleportation

Teleportation exploits the backaction of an ONB measurement to pass a state from one place to another, leaving it unchanged, i.e. applying the identity process to it. Would it also be possible to apply some other quantum map Φ to that state? In other words, can we encode an entire ‘computation’ in a quantum state, then ‘perform’ the computation just by measuring? Astoundingly, the answer turns out to be yes, although it does require some cleverness.

The key to solving this problem is process–state duality. The quantum map Φ can be encoded as a bipartite state. We can then modify the quantum teleportation protocol by using this bipartite state instead of the Bell state:

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