Conservation laws in quantum noninvasive measurements
arXiv:1907.06354 · doi:10.1103/PhysRevResearch.3.013247
Abstract
Conservation principles are essential to describe and quantify dynamical processes in all areas of physics. Classically, a conservation law holds because the description of reality can be considered independent of an observation (measurement). In quantum mechanics, however, invasive observations change quantities drastically, irrespective of any classical conservation law. One may hope to overcome this nonconservation by performing a weak, almost noninvasive measurement. Interestingly, we find that the nonconservation is manifest even in weakly measured correlations if some of the other observables do not commute with the conserved quantity. Our observations show that conservation laws in quantum mechanics should be considered in their specific measurement context. We provide experimentally feasible examples to observe the apparent nonconservation of energy and angular momentum.
arXiv comment8 pages, 6 figures
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- Testing time order and Leggett-Garg inequalities with noninvasive measurements on public quantum computers
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