76 research outputs found
Digital Quantum Simulation of a (1+1)D SU(2) Lattice Gauge Theory with Ion Qudits
No full textWe present a quantum simulation strategy for a (1+1)-dimensional SU(2) non-Abelian lattice gauge theory with dynamical matter, a hardcore-gluon Hamiltonian Yang-Mills, tailored to a six-level trappedion-qudit quantum processor, as recently experimentally realized [Nat. Phys. 18, 1053 (2022)]. We employ a qudit encoding fulfilling gauge invariance, an SU(2) Gauss's law. We discuss the experimental feasibility of generalized Mølmer-Sørensen gates used to efficiently simulate the dynamics. We illustrate how a shallow circuit with these resources is sufficient to implement scalable digital quantum simulation of the model. We also numerically show that this model, albeit simple, can dynamically manifest physically relevant properties specific to non-Abelian field theories, such as baryon excitations
Probing phases of quantum matter with an ion-trap tensor-network quantum eigensolver
No full textTensor-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.Comment: 17 pages, 14 figure
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