자료유형  

 학위논문

Control Number  

0016935235

International Standard Book Number  

9798380106160

Dewey Decimal Classification Number  

530

Main Entry-Personal Name  

Claes, Jahan.

Publication, Distribution, etc. (Imprint  

[S.l.] : University of Illinois at Urbana-Champaign., 2021

Publication, Distribution, etc. (Imprint  

Ann Arbor : ProQuest Dissertations & Theses, 2021

Physical Description  

1 online resource(160 p.)

General Note  

Source: Dissertations Abstracts International, Volume: 85-02, Section: B.

General Note  

Advisor: Vishveshwara, Smitha;Hughes, Taylor L. .

Dissertation Note  

Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2021.

Restrictions on Access Note  

This item must not be sold to any third party vendors.

Restrictions on Access Note  

This item must not be added to any third party search indexes.

Summary, Etc.  

요약This thesis focuses on three main areas in quantum physics. The bulk of this thesis addresses the effects of disorder on novel classes of topological insulators. Topological insulators are states of matter that display properties-most notably, protected anomalous edge states-that are robust to symmetry-preserving disorder. While the properties of "classical" tenfold way topological insulators under disorder are well-understood, there exist other topological phases whose behavior under disorder has yet to be characterized. In this portion of the thesis, we will develop real-space methods to compute weak, boundary-obstructed, and non-Hermitian topological invariants, establish their stability at weak and strong disorder, and connect these disordered topological invariants to physical signatures.The remainder of the thesis contains an eclectic mix of other work that broadly focuses on the intersection of computational complexity and quantum mechanics. The first section addresses the problem of simulating quantum mechanics on a classical computer. While exactly simulating quantum mechanics is NP hard, in this section we develop and approximate variational method to simulate quantum systems at finite temperature. The second section develops a "randomized benchmarking" method for verifying the gates of a quantum computer, a challenging task as the output of a quantum circuit is generically difficult to simulate. Finally, the third section deals with the ability of a quantum computer to simulate condensed matter systems; we study the ability of a variational quantum circuit to approximate the ground state of the mixed-spin Sherrington-Kirkpatrick spin-glass model.

Subject Added Entry-Topical Term  

Condensed matter physics.

Subject Added Entry-Topical Term  

Theoretical physics.

Subject Added Entry-Topical Term  

Quantum physics.

Index Term-Uncontrolled  

Topological insulators

Index Term-Uncontrolled  

Classical computer

Index Term-Uncontrolled  

Quantum computer

Index Term-Uncontrolled  

Computational complexity

Added Entry-Corporate Name  

University of Illinois at Urbana-Champaign Physics

Host Item Entry  

Dissertations Abstracts International. 85-02B.

Host Item Entry  

Dissertation Abstract International

Electronic Location and Access  

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Control Number  

joongbu:641285