## Diosi Quantum Dissertation Writing

## Title: Quantum information theory

Authors:M. A. Nielsen

(Submitted on 9 Nov 2000)

Abstract: Quantum information theory is the study of the achievable limits of information processing within quantum mechanics. Many different types of information can be accommodated within quantum mechanics, including classical information, coherent quantum information, and entanglement. Exploring the rich variety of capabilities allowed by these types of information is the subject of quantum information theory, and of this Dissertation. In particular, I demonstrate several novel limits to the information processing ability of quantum mechanics. Results of especial interest include: the demonstration of limitations to the class of measurements which may be performed in quantum mechanics; a capacity theorem giving achievable limits to the transmission of classical information through a two-way noiseless quantum channel; resource bounds on distributed quantum computation; a new proof of the quantum noiseless channel coding theorem; an information-theoretic characterization of the conditions under which quantum error-correction may be achieved; an analysis of the thermodynamic limits to quantum error-correction, and new bounds on channel capacity for noisy quantum channels.

## Submission history

From: Michael Nielsen [view email]**[v1]**Thu, 9 Nov 2000 17:19:13 GMT (393kb)

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

**Charles Baily**

Ph.D. Dissertation

Spring 2011

Ph.D. Dissertation

Spring 2011

## Perspectives in Quantum Physics:

Epistemological, Ontological and Pedagogical

### An investigation into student and expert perspectives on the physical interpretation of quantum mechanics,

with implications for modern physics instruction.

ABSTRACT:A common learning goal for modern physics instructors is for students to recognize a difference between the experimental uncertainty of classical physics and the fundamental uncertainty of quantum mechanics. Our studies suggest this notoriously difficult task may be frustrated by the intuitivelyrealistperspectives of introductory students, and a lack ofontological flexibilityin their conceptions of light and matter. We have developed a framework for understanding and characterizing student perspectives on the physical interpretation of quantum mechanics, and demonstrate the differential impact on student thinking of the myriad ways instructors approach interpretive themes in their introductory courses. Like expert physicists, students interpret quantum phenomena differently, and these interpretations are significantly influenced by their overall stances on questions central to the so-called measurement problem: Is the wave function physically real, or simply a mathematical tool? Is thecollapse of the wave functionan ad hoc rule, or a physical transition not described by any equation? Does an electron, being a form of matter, exist as a localized particle at all times? These questions, which are of personal and academic interest to our students, are largely only superficially addressed in our introductory courses, often for fear of opening aPandora’s Boxof student questions, none of which have easy answers. We show how a transformed modern physics curriculum (recently implemented at the University of Colorado) may positively impact student perspectives on indeterminacy and wave-particle duality, by making questions of classical and quantum reality a central theme of our course, but also by making the beliefs of our students, and not just those of scientists, an explicit topic of discussion.

COURSE MATERIALS:A short (4 pg.) paper describing these modern physics course transformations: "Interpretive Themes in Quantum Physics: Curriculum Development and Outcomes".

The modern physics course materials associated with this dissertation project are available for the use of educators and researchers.

DISSERTATION:As a single PDF document (13 MB)

Table of ContentsChapter 1- Perspectives in Quantum PhysicsI.Introduction1 A.Notions of Classical and Quantum Reality1 B.Philosophy or Science?4 C.Wave-Particle Duality and Ontological Flexibility7 II.Epistemology and Ontology in Physics Instruction17 III.Motivation and Overview of Dissertation Project20 References (Chapter 1)29 Chapter 2- Development of Student Perspectives - Initial StudiesI.Introduction37 II.Studies37 A.Student ideas about measurement change over time38 B.Instructional choices influence student perspectives41 C.Consistency of student perspectives45 III.Summary and Discussion46 References (Chapter 2)48 Chapter 3- Quantum Interpretation as Hidden Curriculum

- Variations in Instructional Practices and Associated Student OutcomesI.Introduction51 II.Instructors approach quantum interpretation differently53 III.Comparing Instructor Practices (A Closer Look)56 A.Background on course materials and curriculum similarities56 B.Differences in instructional approaches57 C.The double-slit experiment with single quanta62 D.(In)consistency of student responses65 IV.Summary and Discussion67 References (Chapter 3)69 Chapter 4- Refined Characterizations of Student Perspectives on Quantum PhysicsI.Introduction71 II.Interview participants and course characteristics72 III.Refined characterizations of student perspectives74 A.Discussion of formal interpretations75 B.Students express beliefs that parallel expert proponents75 C.Categorization and summary of student responses80 IV.Summary and Discussion87 References (Chapter 4)91 Chapter 5- Teaching Quantum Interpretations – Curriculum Development and ImplementationI.Introduction93 II.Curriculum Development and Implementation94 A.Assessing incoming student perspectives and conceptual understanding99 B.Lecture Materials106 C.Homework120 D.Exam Materials125 E.Assessing outgoing perspectives129 F.Final Essay136 References (Chapter 5)138 Chapter 6- Teaching Quantum Interpretations – Comparative Outcomes and Curriculum RefinementI.Introduction141 II.Comparative Outcomes141 A.Student Interest in Quantum Mechanics142 B.Interpretive Attitudes144 III.Curriculum Refinement and Other Future Directions151 A.Single-Photon Experiments152 B.Entanglement and Correlated Measurementss159 C.Atomic Models and Probability160 IV.Concluding Remarks162 References (Chapter 6)165 Bibliography167 Appendix A - Evolution of Online Survey Items

(4 pages - pdf - 330 kB)Appendix B - Interview Protocol (Spring 2009)

(3 pages - pdf - 335 kB)Appendix C - Selected Modern Physics Course Materials (Fall 2010)

(76 pages - pdf - 5.4 MB) -password protected*Appendix D - Selected Homework, Exam, Survey and Final Essay Submissions from Four Students (Fall 2010)

(65 pages - pdf - 2.2 MB) -password protected*Appendix E - Collected Excerpts from Student Reflections (Fall 2010)

(22 pages - pdf - 250 kB) -password protected*Appendix F - Selected Student Discussion Threads (Fall 2010)

(21 pages - pdf - 790 kB) -password protected*

*Contact Charles.Baily "at" Colorado.EDU for access to password-protected links.

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