1. Entanglement from Tensor Networks on a Trapped-Ion Quantum Computer
- Author
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Michael Foss-Feig, Stephen Ragole, Andrew Potter, Joan Dreiling, Caroline Figgatt, John Gaebler, Alex Hall, Steven Moses, Juan Pino, Ben Spaun, Brian Neyenhuis, and David Hayes
- Subjects
Quantum Physics ,Quantum Gases (cond-mat.quant-gas) ,FOS: Physical sciences ,General Physics and Astronomy ,Quantum Physics (quant-ph) ,Condensed Matter - Quantum Gases - Abstract
The ability to selectively measure, initialize, and reuse qubits during a quantum circuit enables a mapping of the spatial structure of certain tensor-network states onto the dynamics of quantum circuits, thereby achieving dramatic resource savings when using a quantum computer to simulate many-body systems with limited entanglement. We experimentally demonstrate a significant benefit of this approach to quantum simulation: In addition to all correlation functions, the entanglement structure of an infinite system -- specifically the half-chain entanglement spectrum -- is conveniently encoded within a small register of "bond qubits" and can be extracted with relative ease. Using a trapped-ion QCCD quantum computer equipped with selective mid-circuit measurement and reset, we quantitatively determine the near-critical entanglement entropy of a correlated spin chain directly in the thermodynamic limit and show that its phase transition becomes quickly resolved upon expanding the bond-qubit register., 5 pages + supplemental material
- Published
- 2022