Universal quantum cloning beyond noncontextual theory
Abstract
Quantum theory fundamentally forbids the perfect copying of an arbitrary unknown quantum state, according to a principle known as the no-cloning theorem. Nevertheless, it is possible to construct a deterministic quantum map that produces multiple approximate copies of an unknown quantum state. This task is referred to as universal quantum cloning, further facilitating numerous quantum technologies such as quantum cryptography and quantum communication. In this work, we theoretically verify that the universal quantum cloning cannot be realized within a noncontextual theory, highlighting its intrinsically nonclassical nature. Our verification first focuses on revealing that 1→2 cloning scenario is fully contextual, and further covers general examples to observe the contextual behavior of N→ M scenario. We believe that our results regarding quantum cloning serve a key role for understanding both quantum foundation and application.
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