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The Operational Choi-Jamio Lkowski Isomorphism, Emily Adlam
The Operational Choi-Jamio Lkowski Isomorphism, Emily Adlam
Mathematics, Physics, and Computer Science Faculty Articles and Research
In this article, I use an operational formulation of the Choi–Jamiołkowski isomorphism to explore an approach to quantum mechanics in which the state is not the fundamental object. I first situate this project in the context of generalized probabilistic theories and argue that this framework may be understood as a means of drawing conclusions about the intratheoretic causal structure of quantum mechanics which are independent of any specific ontological picture. I then give an operational formulation of the Choi–Jamiołkowski isomorphism and show that, in an operational theory which exhibits this isomorphism, several features of the theory which are usually regarded …