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Main Authors: Mohtashim, Shah Ishmam, Das, Arnav, Chatterjee, Turbasu, Chowdhury, Farhan Tanvir
Format: Preprint
Published: 2021
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Online Access:https://arxiv.org/abs/2106.11298
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author Mohtashim, Shah Ishmam
Das, Arnav
Chatterjee, Turbasu
Chowdhury, Farhan Tanvir
author_facet Mohtashim, Shah Ishmam
Das, Arnav
Chatterjee, Turbasu
Chowdhury, Farhan Tanvir
contents We demonstrate quantum circuit simulations of the transverse field Ising model with longitudinal fields, displaying salient features of glassy dynamics. The energy landscape and spin configurations of toy models are considered, using the Variational Quantum Eigensolver (VQE) to obtain the ground-state energies and corresponding eigenstates for a $6 \times 6$ Ising lattice using 36 qubits and a 1-dimensional Ising chain of length 25 using 25 qubits. The former showed disordered spin configurations for a specific mixture of values of the two fields. These insights mirror catalytic processes, where disorder within a catalyst can lead to inefficient reaction mechanisms. Results obtained from our proof-of-principle implementation make the case for kick-starting more concentrated efforts in harnessing existing quantum computational tools for computationally probing complex dynamical behaviour arising in quantum matter. Our aim is to leverage tools from quantum information processing to bring about a more nuanced understanding of the dynamics and structure of glassy systems, ultimately informing the development of novel materials and technology.
format Preprint
id arxiv_https___arxiv_org_abs_2106_11298
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle A near-term quantum simulation of the transverse field Ising model hints at Glassy Dynamics
Mohtashim, Shah Ishmam
Das, Arnav
Chatterjee, Turbasu
Chowdhury, Farhan Tanvir
Quantum Physics
We demonstrate quantum circuit simulations of the transverse field Ising model with longitudinal fields, displaying salient features of glassy dynamics. The energy landscape and spin configurations of toy models are considered, using the Variational Quantum Eigensolver (VQE) to obtain the ground-state energies and corresponding eigenstates for a $6 \times 6$ Ising lattice using 36 qubits and a 1-dimensional Ising chain of length 25 using 25 qubits. The former showed disordered spin configurations for a specific mixture of values of the two fields. These insights mirror catalytic processes, where disorder within a catalyst can lead to inefficient reaction mechanisms. Results obtained from our proof-of-principle implementation make the case for kick-starting more concentrated efforts in harnessing existing quantum computational tools for computationally probing complex dynamical behaviour arising in quantum matter. Our aim is to leverage tools from quantum information processing to bring about a more nuanced understanding of the dynamics and structure of glassy systems, ultimately informing the development of novel materials and technology.
title A near-term quantum simulation of the transverse field Ising model hints at Glassy Dynamics
topic Quantum Physics
url https://arxiv.org/abs/2106.11298