@article {2247, title = {Resilience of scrambling measurements}, journal = {Phys. Rev.}, volume = {A}, year = {2018}, month = {2018/06/18}, chapter = {062113}, abstract = {

Most experimental protocols for measuring scrambling require time evolution with a Hamiltonian and with the Hamiltonian\&$\#$39;s negative counterpart (backwards time evolution). Engineering controllable quantum many-body systems for which such forward and backward evolution is possible is a significant experimental challenge. Furthermore, if the system of interest is quantum-chaotic, one might worry that any small errors in the time reversal will be rapidly amplified, obscuring the physics of scrambling. This paper undermines this expectation: We exhibit a renormalization protocol that extracts nearly ideal out-of-time-ordered-correlator measurements from imperfect experimental measurements. We analytically and numerically demonstrate the protocol\&$\#$39;s effectiveness, up to the scrambling time, in a variety of models and for sizable imperfections. The scheme extends to errors from decoherence by an environment.

}, doi = {https://doi.org/10.1103/PhysRevA.97.062113}, url = {https://arxiv.org/abs/1802.01587}, author = {Brian Swingle and Nicole Yunger Halpern} }