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Physics & Astronomy ETDs
Publication Date
Spring 5-11-2024
Abstract
Quantum entanglement is a key ingredient for quantum information processing with capabilities beyond that of classical computation. We study the generation and role of entanglement in the dynamics of spin-1/2 models, both for the design of quantum gates for general-purpose quantum computation and for quantum simulation of interacting spin models. We introduce the neutral atom Mølmer-Sørensen gate, involving rapid adiabatic Rydberg dressing interleaved in a spin-echo sequence. We show its robustness to quasi-static experimental imperfections and favorable scaling with the time-energy scales of Rydberg-mediated entanglement generation. In quantum simulation, we consider critical behavior in quench dynamics of transverse field Ising models. Using matrix product states to calculate the dynamics, we find that order parameters, critical point, and critical exponents can be estimated using modest bond dimensions. Considering the role of chaos and equilibration in quenches, we find that local observables are well approximated either due to low global entanglement or the proximity of local marginals to the maximally mixed state. These findings highlight the challenge of identifying relevant quantum phenomena that remain inaccessible to classical descriptions. Understanding the regimes where classical descriptions fail but remain accessible to pre-fault tolerant quantum hardware will help inform the design of future quantum information processors.
Degree Name
Physics
Level of Degree
Doctoral
Department Name
Physics & Astronomy
First Committee Member (Chair)
Ivan H. Deutsch
Second Committee Member
Akimasa Miyake
Third Committee Member
Tameem Albash
Fourth Committee Member
Grant W. Biedermann
Language
English
Keywords
quantum information processing, quantum entanglement, Rydberg atoms, quantum simulation, quantum criticality, tensor networks, quantum chaos
Document Type
Dissertation
Recommended Citation
Mitra, Anupam. "Entanglement with neutral atoms in the simulation of nonequilibrium dynamics of one-dimensional spin models." (2024). https://digitalrepository.unm.edu/phyc_etds/316