



@article {3122,
	title = {Extracting Wilson loop operators and fractional statistics from a single bulk ground state},
	year = {2022},
	month = {9/28/2022},
	abstract = {<p>An essential aspect of topological phases of matter is the existence of Wilson loop operators that keep the ground state subspace invariant. Here we present and implement an unbiased numerical optimization scheme to systematically find the Wilson loop operators given a single ground state wave function of a gapped Hamiltonian on a disk. We then show how these Wilson loop operators can be cut and glued through further optimization to give operators that can create, move, and annihilate anyon excitations. We subsequently use these operators to determine the braiding statistics and topological twists of the anyons, yielding a way to fully extract topological order from a single wave function. We apply our method to the ground state of the perturbed toric code and doubled semion models with a magnetic field that is up to a half of the critical value. From a contemporary perspective, this can be thought of as a machine learning approach to discover emergent 1-form symmetries of a ground state wave function. From an application perspective, our approach can be relevant to find Wilson loop operators in current quantum simulators.</p>},
	keywords = {FOS: Physical sciences, Quantum Physics (quant-ph), Strongly Correlated Electrons (cond-mat.str-el)},
	doi = {10.48550/ARXIV.2209.14302},
	url = {https://arxiv.org/abs/2209.14302},
	author = {Cian, Ze-Pei and Hafezi, Mohammad and Barkeshli, Maissam}
}
@article {3017,
	title = {Shadow Distillation: Quantum Error Mitigation with Classical Shadows for Near-Term Quantum Processors},
	year = {2022},
	month = {3/14/2022},
	abstract = {<p>Mitigating errors in quantum information processing devices is especially important in the absence of fault tolerance. An effective method in suppressing state-preparation errors is using multiple copies to distill the ideal component from a noisy quantum state. Here, we use classical shadows and randomized measurements to circumvent the need for coherent access to multiple copies at an exponential cost. We study the scaling of resources using numerical simulations and find that the overhead is still favorable compared to full state tomography. We optimize measurement resources under realistic experimental constraints and apply our method to an experiment preparing Greenberger-Horne-Zeilinger (GHZ) state with trapped ions. In addition to improving stabilizer measurements, the analysis of the improved results reveals the nature of errors affecting the experiment. Hence, our results provide a directly applicable method for mitigating errors in near-term quantum computers.</p>},
	keywords = {FOS: Physical sciences, Quantum Physics (quant-ph)},
	doi = {10.48550/ARXIV.2203.07309},
	url = {https://arxiv.org/abs/2203.07309},
	author = {Seif, Alireza and Cian, Ze-Pei and Zhou, Sisi and Chen, Senrui and Jiang, Liang}
}
