Probing phases of quantum matter with an ion-trap tensor-network quantum eigensolver

• URL: http://arxiv.org/abs/2203.13271v1
• Date: Thu, 24 Mar 2022 18:00:19 GMT
• Title: Probing phases of quantum matter with an ion-trap tensor-network quantum eigensolver
• Authors: Michael Meth, Viacheslav Kuzmin, Rick van Bijnen, Lukas Postler, Roman Stricker, Rainer Blatt, Martin Ringbauer, Thomas Monz, Pietro Silvi and Philipp Schindler
• Abstract summary: We encode a TN ansatz state directly into a quantum simulator, which can potentially offer an exponential advantage over purely numerical simulation. In particular, we demonstrate the optimization of a quantum-encoded TN ansatz state using a variational quantum eigensolver on an ion-trap quantum computer.
• Score: 1.291175895836647
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Tensor-Network (TN) states are efficient parametric representations of ground states of local quantum Hamiltonians extensively used in numerical simulations. Here we encode a TN ansatz state directly into a quantum simulator, which can potentially offer an exponential advantage over purely numerical simulation. In particular, we demonstrate the optimization of a quantum-encoded TN ansatz state using a variational quantum eigensolver on an ion-trap quantum computer by preparing the ground states of the extended Su-Schrieffer-Heeger model. The generated states are characterized by estimating the topological invariants, verifying their topological order. Our TN encoding as a trapped ion circuit employs only single-site addressing optical pulses - the native operations naturally available on the platform. We reduce nearest-neighbor crosstalk by selecting different magnetic sublevels with well-separated transition frequencies to encode even and odd qubits.

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