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Measuring the Loschmidt Amplitude for Finite-Energy Properties of the Fermi-Hubbard Model on an Ion-Trap Quantum Computer

journals.aps.org Measuring the Loschmidt Amplitude for Finite-Energy Properties of the Fermi-Hubbard Model on an Ion-Trap Quantum Computer

A demonstration of the measurement of the Loschmidt amplitude in a Fermi-Hubbard simulator opens exciting perspectives for hybrid classical-quantum algorithms.

Measuring the Loschmidt Amplitude for Finite-Energy Properties of the Fermi-Hubbard Model on an Ion-Trap Quantum Computer
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2 comments

  • Going to try giving an "in English, damnit!" explanation for these since I didn't know two of them when reading this title:

    • The Fermi–Hubbard model is a model of how some fermionic particles (e.g. quarks, electrons, neutrinos) at very low temperatures arranged on a 2D lattice can spontaneously choose to localize, or condense their quantum probabilities to a small region.

    • The Loschmidt amplitude is the difference between an initial state and a time-evolved one in dynamical quantum phase transitions.

    • An ion trap quantum computer is one in which ions are suspended in space using electromagnetic fields.

    Essentially, "we used a quantum computer to measure the quantum state difference for the evolution of very cool fermions situated on a 2D lattice."

    Take what I've said with a grain of salt; I am not a physicist.