Characterizing a non-equilibrium phase transition on a quantum computer
- URL: http://arxiv.org/abs/2209.12889v3
- Date: Mon, 14 Nov 2022 15:57:06 GMT
- Title: Characterizing a non-equilibrium phase transition on a quantum computer
- Authors: Eli Chertkov, Zihan Cheng, Andrew C. Potter, Sarang Gopalakrishnan,
Thomas M. Gatterman, Justin A. Gerber, Kevin Gilmore, Dan Gresh, Alex Hall,
Aaron Hankin, Mitchell Matheny, Tanner Mengle, David Hayes, Brian Neyenhuis,
Russell Stutz, Michael Foss-Feig
- Abstract summary: We use the Quantinuum H1-1 quantum computer to realize a quantum extension of a simple classical disease spreading process.
We are able to implement large instances of the model with $73$ sites and up to $72$ circuit layers.
This work demonstrates how quantum computers capable of mid-circuit resets, measurements, and conditional logic enable the study of difficult problems in quantum many-body physics.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: At transitions between phases of matter, physical systems can exhibit
universal behavior independent of their microscopic details. Probing such
behavior in quantum many-body systems is a challenging and practically
important problem that can be solved by quantum computers, potentially
exponentially faster than by classical computers. In this work, we use the
Quantinuum H1-1 quantum computer to realize a quantum extension of a simple
classical disease spreading process that is known to exhibit a non-equilibrium
phase transition between an active and absorbing state. Using techniques such
as qubit-reuse and error avoidance based on real-time conditional logic
(utilized extensively in quantum error correction), we are able to implement
large instances of the model with $73$ sites and up to $72$ circuit layers, and
quantitatively determine the model's critical properties. This work
demonstrates how quantum computers capable of mid-circuit resets, measurements,
and conditional logic enable the study of difficult problems in quantum
many-body physics: the simulation of open quantum system dynamics and
non-equilibrium phase transitions.
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