Physical Foundation of Quantum Computing PHY 4745 & PHY 6646

Misak Sargsian

M,W 6:25-7:40pm, CP101

Office Hours M,W - 3:30-4:30pm
CP224, sargsian@fiu.edu, 305-348-3954


Lecture 1:  Basic Quantum Mechanics for Quantum Computing
(1) What is Quantum Mechanics
(2) Axioms and Some Theorems of Quantum Mechanics
(3) Copenhagen Interpretation
(4) Entanglement and EPR Paradox
 (5) Spin of Electron
(6) Polarization of Photons
(7) Rotating Measuring devices for spin and photon polarization
(8) New Algebra
Lecture 2: What is Qubit and Enthanglement?
(1)  Classical Bits
 (2)  Quantum Qubits
(3)  BB84 Protocol
(4) Unentangled two quibits
(5) Entangled Quibits
(6) CNOT gate
 
   
Lecture 3: Bell's Inequality

(1) Measuring Entangled Qubits inm Different Bases
(2) Classical Explanation of Entanglement
(4) Quantum Mechanical Answer of Enthanglement
 (4) Ekert Protocol for Quantum Key Distribution
 
 
Lecture 4 :Classical Logic Gates and Circuits

(1) Logic
(2) Boolean Algebra, Functional Completeness
(3) Gates and Circuits, NAND universal gate
(4) Computation
(5) Billiard Ball Computing


Lecture 5: Quantum Gates and Circuits

(1) Quantum Gates Acting on One Qubit
(2) No Cloning Theorem
(3) The Bell Circuit
(4) Superdense Coding
(5) Quantum Teleportation
(6) Error Correction
Lecture 6: Quantum Algorithms
(1) Query Complexity
(2) Deutsch's Algorithm
(3) The Deutsch-Jozsa Algorithm
(4) Simon's Algorithms
 

Lecture 7: Impact of Quantum Computing
(1)  Boundary Value Problems and the Relaxation Method
(2)  Faster Method for Boundary Value Problems
(3)  Initial Value Problems
 


Lecture 8: Quantum Information
(1) Shor's   Algorithm and Cryptanalysis
(2) Grover's Algorithm and Searching data
(3)  Simulations, Hardware
(4) Quantum Supremacy and Parallel Universes



Appendix: Python Installation
Python code examples for QComp


 Projects & Presentations
1.Pilot Wave model of Quantum Mechanics  - Alan Sosa
2.Many World Interpretation of Quantum Mechanics - David Munoz
3.Stern-Gerlach Experiment and Spin - Leonel Martinez
4.Technical Methods of generating entangled states - Valeria Robles
5.Experimental Status of Verification of Bell's Inequality - Alejandro R. Aponte
7.Applications of BB84 and Ekert Protocols - Hannah Ashley Moussa
8.Overview of existing types of Quantum Computers - Nicolas Cea 
 ?   Information.

 QCompEverybody



Suggested Books & Links


1. "Quantum Computing for Everyone"
Chris Bernhardt (primary)

2."Quantum Computation and Quantum Information
Michael A. Nielsen, and Isaac L. Chuang

3. "Learn Quantum Computing with  Python
   and IBM Quantum Experience"
Robert Loredo

4. Online Resources at
 https://indico.cern.ch/event/970903/

 

The  pieces of the Final Grade:

Homeworks  (40%)
Presentation (20%)
Final Project (40%)

 

Homework Assignments:
(10% less for each day of the late homework)

HW1 ( due January 17 )

 HW2  (due January 24 )

HW3   (due  January 31)
 
HW4  (due February 7)
 
HW5  (due  February 22)

HW6  (due  March 10)

HW7  (due  March 17)

HW8 (due  March 24 )

HW9 (due  March 31 )

HW10 (due  April 7 )

HW11 (due April 12 )

HW12 (due  April 18)

 Project (due  April  25)  

Library

 Grades (10% less for each day of late homeworks)
>90 A
>85-89 A-
>80-84 B+
>75-79 B
>70-74 B-
>65-69 C+
>60-64 C
>55-59 D
<55 F
 

  

�2020 Quantum Computing; � Misak Sargsian A� B � C � D � E