The physics of large systems is often understood as the outcome of the local operations among its components. Now, it is shown that this picture may be incomplete in quantum systems whose interactions are constrained by symmetries.
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References
Marvian, I. Nat. Phys. https://doi.org/10.1038/s41567-021-01464-0 (2022).
Nielsen, M. A. & Chuang, I. Quantum Computation and Quantum Information (Cambridge Univ. Press, 2010).
Barenco, A. et al. Phys. Rev. A 52, 3457–3467 (1995).
Lostaglio, M., Jennings, D. & Rudolph, T. Nat. Commun. 6, 6383 (2015).
Breuer, H. P. & Petruccione, F. The Theory of Open Quantum Systems (Oxford Univ. Press, 2002).
Affleck, I. & Haldane, F. D. M. Phys. Rev. B 36, 5291–5300 (1987).
Gu, Z.-C. & Wen, X.-G. Phys. Rev. B 80, 155131 (2009).
Ellison, T. D. & Fidkowski, L. Phys. Rev. X 9, 011016 (2019).
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Alhambra, Á.M. Forbidden by symmetry. Nat. Phys. 18, 235–236 (2022). https://doi.org/10.1038/s41567-021-01483-x
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DOI: https://doi.org/10.1038/s41567-021-01483-x