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The physics of many materials is modeled by quantum many-body systems with local interactions.
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Consider as an example two dissipative processes acting on a qubit and having as a fixed point two pure states with an overlap of 1 − ε < 1 1-\varepsilon<1 . Then, by taking the tensor product of N N of each process, we note that the fixed points of the composed processes become orthogonal as N → ∞ N\rightarrow\infty , for any fixed ε > 0 \varepsilon>0
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