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Classification of states for a given cloner. The blue zone on the surface of the Bloch sphere denotes the pure states whose coherence can not be cloned. The remaining zone is showed by orange colour. C Y L |ψ 1 〉 represents all the states (pure as well as mixed) which have same coherence as |ψ 1 〉
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It is well known that it is impossible to clone an arbitrary quantum state. However, this inability does not lead directly to no-cloning of quantum coherence. Here, we show that it is impossible to clone the coherence of an arbitrary quantum state which is a stronger statement than the 'no-cloning of quantum state'. In particular, with ancillary sy...
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The thesis has two chapter about clonoids, two about clones, another chapter about a representation of S4, and the last talks about Mal'cev conditions.
This project aims to produce an electronic clone of an orchestral chime that can be tuned to any sound sample using the included utility software package.
Demonstration Link: https://youtu.be/YXPv-BO4kXo