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arXiv · 1712.08581

Measuring the Renyi entropy of a two-site Fermi-Hubbard model on a trapped ion quantum computer

Norbert M. Linke·Sonika Johri·Caroline Figgatt·Kevin A. Landsman·Anne Y. Matsuura·Christopher Monroe
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Abstract

The efficient simulation of correlated quantum systems is the most promising near-term application of quantum computers. Here, we present a measurement of the second Renyi entropy of the ground state of the two-site Fermi-Hubbard model on a $5$-qubit programmable quantum computer based on trapped ions. Our work illustrates the extraction of a non-linear characteristic of a quantum state using a controlled-swap gate acting on two copies of the state. This scalable measurement of entanglement on a universal quantum computer will, with more qubits, provide insights into many-body quantum systems that are impossible to simulate on classical computers.

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Norbert M. Linke, Sonika Johri, Caroline Figgatt, Kevin A. Landsman, Anne Y. Matsuura, Christopher Monroe. 2017-12-22. Measuring the Renyi entropy of a two-site Fermi-Hubbard model on a trapped ion quantum computer. https://doi.org/10.1103/physreva.98.052334

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