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Suppose we have a bipartite system of two qubits. It will form a 4d hilbert space.

Also, suppose I have just one quantum system and it is a 4-level system. It will also form a 4d Hilbert space.

What are the differences and similarities between such states. Can we effectively interchange their meaning ?

Chetan Waghela
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    Related/Possible duplicate of https://quantumcomputing.stackexchange.com/questions/17183/is-it-possible-to-perform-quantum-computation-between-different-hilbert-spaces – Tristan Nemoz Dec 29 '22 at 12:37
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    Also potentially related: https://quantumcomputing.stackexchange.com/questions/14049/can-a-single-qutrit-in-superposition-be-considered-entangled – Mark Spinelli Dec 29 '22 at 13:53

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