Entanglement from Tensor Networks on a Trapped-Ion Quantum Computer

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 simulating quantum systems with limited entang...

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Bibliographic Details
Published in:Physical review letters 2022-04, Vol.128 (15), p.150504-150504, Article 150504
Main Authors: Foss-Feig, Michael, Ragole, Stephen, Potter, Andrew, Dreiling, Joan, Figgatt, Caroline, Gaebler, John, Hall, Alex, Moses, Steven, Pino, Juan, Spaun, Ben, Neyenhuis, Brian, Hayes, David
Format: Article
Language:English
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Summary: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 simulating quantum systems with limited entanglement. We experimentally demonstrate a significant benefit of this approach to quantum simulation: 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 Honeywell's model H0 quantum computer equipped with selective midcircuit 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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.128.150504