Learning Objectives CS 7280: Network Science Fall 2022 Assignment-4 The objective of this assignment is to experiment with the concepts we covered in Module-4 about network epidemics, and see how the theoretical results that were derived in class compare to simulation results. Please submit your Jupyter notebook Assignment4-YOURLASTNAME.ipynb. Ensure all graphs are generated and appropriately …
Learning Objectives CS 7280: Network Science Assignment-2 The objective of this assignment is to experiment with the concepts we covered in Module-2: ● Degree distribution ● G(n,p) random networks ● Power-law networks ● Small-world networks ● Clustering coefficient and transitivity ● Average path length, diameter, efficiency ● Assortativity ● Network motifs ● Degree-preserving network randomization …
OMSCS 7280: Network Science Assignment-5 The objective of this assignment is to learn about network models and statistical analysis of network data, covered in Lesson 12 and Lesson 13. Please submit your Jupyter Notebook Assignment5-YOURLASTNAME.ipynb and requirement.txt Part 1. Modeling the NCAA College Football 2000 Network (65 points) For the first part of this assignment, …
P1 = √1 (|0⟩+i|1⟩)· √1 (⟨0|−i⟨1|) and P2 = √1 (|0⟩−i|1⟩)· √1 (⟨0|+i⟨1|). 2222 Check that the above matrices are projection operators. Check that the above matrices can be used for organizing a von Neumann measurement. Find the classical and quantum outputs of the measurements of a qubit in 1. state |0⟩, 2. state |1⟩. …
BB84 (which we discussed in the class). Find the secret key obtained by Alice an Read More »
Homework 5 1. For the unitary transformation U from Problem 5 of HW 4, find all the vectors |us⟩, s = 0,…,r−1, and check that they are eigenvectors of U. 2. Compute explicitly r−1 |us⟩. 3. Find the joint quantum state of all t + L qubits right before the measurement blocks in the quantum …
QCC 2022, Home Work 3 1. A circuite for the Quantum Discrete Fourier Transform (QDFT) with N = 4 (n = 2 qubits) is shown below. Let |v1⟩ = |10⟩ and |v2⟩ = |11⟩ be used at the input of this circuite and |w1⟩ and |w2⟩ be the states at the output of the circuite. …
Midterm Exam, 2022 |v⟩ = 12i|011⟩ − 34|101⟩ − i12|111⟩ 2. (2) (The vector |v⟩ = √1 (|000⟩ + |111⟩) is a quantum state of how many qubits? 3. (5) Among the following vectors |ψ1⟩ = √1 (e2πi 41 |00⟩ + e2πi 34 |11⟩), 2 |ψ2⟩ = √1 (e2πi 41 |01⟩ + e2πi 34 |10⟩), …
QCC 2022, Home Work 1 1. Two qubits are in the state √1 |00⟩+ i|01⟩− 1|10⟩+ i 3|11⟩. We measure these 2 qubits. Find the classical outputs, quantum out- puts, and the corresponding probabilities. 2. Four qubits are in the state √1 |0000⟩ + i |0001⟩ − 1 |1010⟩ + i 3 |1011⟩ We measure …
Home Work 2, 2021 Problem 1 Find the tensor product Problem 2 For the input state find the state at the output of the following circuit Code Help Find the classical and quantum outputs and the corresponding probabilities. Problem 4 Let we have two qubits in the state Let we act on the second qubit …
QCC, Home Work 4 1. Draw the circuit for phase estimation with t = 3 lines for representing the value of φ. 2. Let |u⟩ be the eigenvector of U with eigenvalue U|u⟩ = exp(2πiφ)|u⟩, φ = 1/2 + 1/8. Let the initial state at the input of the phase estimation circuit be |0⟩|0⟩|0⟩|u⟩. Show …