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3 votes
2 answers
354 views

Extension of Choi-Jamiolkowski isomorphism to not completely positive maps

In quantum physics, the concept of Channel-State duality is of prime importance in understanding the final state of the system after passing through a channel or performing quantum operations. The ...
PolaroidDreams's user avatar
0 votes
1 answer
134 views

Reference request for operator theory in Quantum mechanics

I am studying Shankar's Principles of Quantum Mechanics. In the first chapter where the author introduces the necessary mathematics tool for QM, the concept of derivatives of operators with respect to ...
Dave Clifford's user avatar
8 votes
1 answer
349 views

How to find interesting operators for a quantum system?

How can we find "interesting" operators for a quantum mechanical system? I can think of the following method: Given some system with an associated Hilbert space $V$ and Hamiltonian $H:V\rightarrow V$,...
Daniel Robert-Nicoud's user avatar
3 votes
2 answers
751 views

Expectation value of pure state in quantum mechanics

It's well known that in quantum mechanics, the expectation value of a self-adojint operator $A$ in pure state $|\psi\rangle$ is $\langle\psi |A|\psi\rangle = \operatorname{Tr}(A |\psi \rangle \...
user1747134's user avatar