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Digital quantum magnetism on a trapped-ion quantum computer

Fuente: arXiv

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Bibliographic Details
Main Authors:	Haghshenas, Reza, Chertkov, Eli, Mills, Michael, Kadow, Wilhelm, Lin, Sheng-Hsuan, Chen, Yi-Hsiang, Cade, Chris, Niesen, Ido, Begušić, Tomislav, Rudolph, Manuel S., Cirstoiu, Cristina, Hemery, Kevin, Keever, Conor Mc, Lubasch, Michael, Granet, Etienne, Baldwin, Charles H., Bartolotta, John P., Bohn, Matthew, Burau, Justin J., Cline, Julia, DeCross, Matthew, Dreiling, Joan M., Foltz, Cameron, Francois, David, Gaebler, John P., Gilbreth, Christopher N., Gray, Johnnie, Gresh, Dan, Hall, Alex, Hankin, Aaron, Hansen, Azure, Hewitt, Nathan, Holliman, Craig A., Hutson, Ross B., Iqbal, Mohsin, Kotibhaskar, Nikhil, Lehman, Elliot, Lucchetti, Dominic, Madjarov, Ivaylo S., Mayer, Karl, Milne, Alistair R., Moses, Steven A., Neyenhuis, Brian, Park, Gunhee, Perry, Abigail R., Ponsioen, Boris, Schecter, Michael, Siegfried, Peter E., Stephen, David T., Tiemann, Bruce G., Urmey, Maxwell D., Walker, James, Potter, Andrew C., Hayes, David, Chan, Garnet Kin-Lic, Pollmann, Frank, Knap, Michael, Dreyer, Henrik, Foss-Feig, Michael
Format:	Preprint
Published:	2025
Subjects:	Quantum Physics Strongly Correlated Electrons
Online Access:	Acceder al recurso
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_version_	1866911655692075008
author	Haghshenas, Reza Chertkov, Eli Mills, Michael Kadow, Wilhelm Lin, Sheng-Hsuan Chen, Yi-Hsiang Cade, Chris Niesen, Ido Begušić, Tomislav Rudolph, Manuel S. Cirstoiu, Cristina Hemery, Kevin Keever, Conor Mc Lubasch, Michael Granet, Etienne Baldwin, Charles H. Bartolotta, John P. Bohn, Matthew Burau, Justin J. Cline, Julia DeCross, Matthew Dreiling, Joan M. Foltz, Cameron Francois, David Gaebler, John P. Gilbreth, Christopher N. Gray, Johnnie Gresh, Dan Hall, Alex Hankin, Aaron Hansen, Azure Hewitt, Nathan Holliman, Craig A. Hutson, Ross B. Iqbal, Mohsin Kotibhaskar, Nikhil Lehman, Elliot Lucchetti, Dominic Madjarov, Ivaylo S. Mayer, Karl Milne, Alistair R. Moses, Steven A. Neyenhuis, Brian Park, Gunhee Perry, Abigail R. Ponsioen, Boris Schecter, Michael Siegfried, Peter E. Stephen, David T. Tiemann, Bruce G. Urmey, Maxwell D. Walker, James Potter, Andrew C. Hayes, David Chan, Garnet Kin-Lic Pollmann, Frank Knap, Michael Dreyer, Henrik Foss-Feig, Michael
author_facet	Haghshenas, Reza Chertkov, Eli Mills, Michael Kadow, Wilhelm Lin, Sheng-Hsuan Chen, Yi-Hsiang Cade, Chris Niesen, Ido Begušić, Tomislav Rudolph, Manuel S. Cirstoiu, Cristina Hemery, Kevin Keever, Conor Mc Lubasch, Michael Granet, Etienne Baldwin, Charles H. Bartolotta, John P. Bohn, Matthew Burau, Justin J. Cline, Julia DeCross, Matthew Dreiling, Joan M. Foltz, Cameron Francois, David Gaebler, John P. Gilbreth, Christopher N. Gray, Johnnie Gresh, Dan Hall, Alex Hankin, Aaron Hansen, Azure Hewitt, Nathan Holliman, Craig A. Hutson, Ross B. Iqbal, Mohsin Kotibhaskar, Nikhil Lehman, Elliot Lucchetti, Dominic Madjarov, Ivaylo S. Mayer, Karl Milne, Alistair R. Moses, Steven A. Neyenhuis, Brian Park, Gunhee Perry, Abigail R. Ponsioen, Boris Schecter, Michael Siegfried, Peter E. Stephen, David T. Tiemann, Bruce G. Urmey, Maxwell D. Walker, James Potter, Andrew C. Hayes, David Chan, Garnet Kin-Lic Pollmann, Frank Knap, Michael Dreyer, Henrik Foss-Feig, Michael
contents	Digital quantum matter -- realized when discrete quantum gates approximate continuous time evolution -- is susceptible to heating into chaotic, structureless states. If digitization errors are adequately suppressed, a long-lived transient regime of approximately energy-conserving dynamics can be observed on gate-based quantum computers. Conservation of energy, in turn, enables the exploration of a wide variety of complex behaviors observed in equilibrium systems, ranging from the nontrivial microscopic origins of thermalization itself to the stabilization of effective models hosting exotic emergent properties. Here, we use Quantinuum's system model H2 quantum computer to simulate digitized dynamics of the quantum Ising model, suppressing digitization errors well enough to observe thermalization on timescales that severely challenge classical simulation methods. Relaxation of an inhomogeneous state reveals an emergent hydrodynamics due to approximate energy conservation, and we compute the associated diffusion constant. By reprogramming our simulations to take place on a triangular lattice with periodic boundary conditions, we observe thermalization consistent with emergent gauge and topological constraints resulting from lattice frustration. Our results were enabled by continued advances in two-qubit gate quality (native partial entangler fidelities of $99.94(1)\%$), and establish digital quantum computers as powerful tools for studying (effectively) continuous-time dynamics.
format	Preprint
id	arxiv_https___arxiv_org_abs_2503_20870
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Digital quantum magnetism on a trapped-ion quantum computer Haghshenas, Reza Chertkov, Eli Mills, Michael Kadow, Wilhelm Lin, Sheng-Hsuan Chen, Yi-Hsiang Cade, Chris Niesen, Ido Begušić, Tomislav Rudolph, Manuel S. Cirstoiu, Cristina Hemery, Kevin Keever, Conor Mc Lubasch, Michael Granet, Etienne Baldwin, Charles H. Bartolotta, John P. Bohn, Matthew Burau, Justin J. Cline, Julia DeCross, Matthew Dreiling, Joan M. Foltz, Cameron Francois, David Gaebler, John P. Gilbreth, Christopher N. Gray, Johnnie Gresh, Dan Hall, Alex Hankin, Aaron Hansen, Azure Hewitt, Nathan Holliman, Craig A. Hutson, Ross B. Iqbal, Mohsin Kotibhaskar, Nikhil Lehman, Elliot Lucchetti, Dominic Madjarov, Ivaylo S. Mayer, Karl Milne, Alistair R. Moses, Steven A. Neyenhuis, Brian Park, Gunhee Perry, Abigail R. Ponsioen, Boris Schecter, Michael Siegfried, Peter E. Stephen, David T. Tiemann, Bruce G. Urmey, Maxwell D. Walker, James Potter, Andrew C. Hayes, David Chan, Garnet Kin-Lic Pollmann, Frank Knap, Michael Dreyer, Henrik Foss-Feig, Michael Quantum Physics Strongly Correlated Electrons Digital quantum matter -- realized when discrete quantum gates approximate continuous time evolution -- is susceptible to heating into chaotic, structureless states. If digitization errors are adequately suppressed, a long-lived transient regime of approximately energy-conserving dynamics can be observed on gate-based quantum computers. Conservation of energy, in turn, enables the exploration of a wide variety of complex behaviors observed in equilibrium systems, ranging from the nontrivial microscopic origins of thermalization itself to the stabilization of effective models hosting exotic emergent properties. Here, we use Quantinuum's system model H2 quantum computer to simulate digitized dynamics of the quantum Ising model, suppressing digitization errors well enough to observe thermalization on timescales that severely challenge classical simulation methods. Relaxation of an inhomogeneous state reveals an emergent hydrodynamics due to approximate energy conservation, and we compute the associated diffusion constant. By reprogramming our simulations to take place on a triangular lattice with periodic boundary conditions, we observe thermalization consistent with emergent gauge and topological constraints resulting from lattice frustration. Our results were enabled by continued advances in two-qubit gate quality (native partial entangler fidelities of $99.94(1)\%$), and establish digital quantum computers as powerful tools for studying (effectively) continuous-time dynamics.
title	Digital quantum magnetism on a trapped-ion quantum computer
topic	Quantum Physics Strongly Correlated Electrons
url	https://arxiv.org/abs/2503.20870