Quantum Error Correction – Quantum Computing

Quantum ComputingLeave a Comment on Quantum Error Correction – Quantum Computing
Books References: In an idea set up, we assume that logical qubits evolves unitarily following Schrodinger’s equation from the moment quantum comptuer is prepared, go through some computations and measured. However, during this process, real quantum system couples with its environment causing information leak out of logical state of the qubits in the quantum memory ... Read More

Random Linear Network Coding (RLNC)

Wireless CommunicationLeave a Comment on Random Linear Network Coding (RLNC)
Network Coding Approaches for Distributed Computation over Lossy Wireless Networks https://pmc.ncbi.nlm.nih.gov/articles/PMC10047255B. Fan, B. Tang, Z. Qu, and B. Ye, “Network Coding Approaches for Distributed Computation over Lossy Wireless Networks,” Entropy, vol. 25, no. 3, p. 428, Feb. 2023, doi: 10.3390/e25030428. Ho, T.; Médard, M.; Koetter, R.; Karger, D.R.; Effros, M.; Shi, J.; Leong, B. A ... Read More

Network Coding – Wireless Communication

Wireless CommunicationLeave a Comment on Network Coding – Wireless Communication
https://www.nature.com/research-intelligence/nri-topic-summaries/network-coding-in-wireless-communication-systems-micro-22183https://www.microsoft.com/en-us/research/wp-content/uploads/2007/07/tr-2007-90.pdf Network Coding: Generalization of Routing Information delivery in today’s wireless networks is performed by routing which is intermediate nodes (routers) store and forward data. Now, network coding is the recent generalization of routing in which nodes can generate output data which is produced from encoding or applying certain functions on the previously received input ... Read More

Covert Communication (Low Probability of Detection – LPD)

Wireless CommunicationLeave a Comment on Covert Communication (Low Probability of Detection – LPD)
I. Makhdoom, M. Abolhasan, and J. Lipman, “A comprehensive survey of covert communication techniques, limitations and future challenges,” Computers & Security, vol. 120, p. 102784, Sep. 2022, doi: 10.1016/j.cose.2022.102784. Best Readings in Covert Communication and Networkinghttps://www.comsoc.org/publications/best-readings/covert-communication-and-networking Covert communication (often called LPD or Low Probability of Detection) is a security paradigm where the goal is not ... Read More

Rank of Matrix

Linear Algebra, MathematicsLeave a Comment on Rank of Matrix
The Rank of a Matrix is a fundamental concept in linear algebra that tells you how much “information” or “dimensionality” a matrix preserves. At its core, the rank represents the number of linearly independent rows or columns in a matrix. It is the dimension of the vector space generated by its columns (or rows). https://www.mathsisfun.com/algebra/matrix-rank.html ... Read More

Network Coding

Wireless CommunicationLeave a Comment on Network Coding
https://www.microsoft.com/en-us/research/wp-content/uploads/2007/07/tr-2007-90.pdf In traditional wireless communication, intermediate nodes (routers or relays) act like a postal service: they receive a packet, store it, and then forward it exactly as it was. Network Coding (NC) completely changes this. Instead of just forwarding, nodes are allowed to perform mathematical operations to combine multiple incoming packets into a single outgoing ... Read More

Calculus – Initial Value Problems

UncategorizedLeave a Comment on Calculus – Initial Value Problems
Book Calculus by Thomas/Finney, 9th Edition, Page 282 Understanding Initial Value Problems in Calculus When studying differential equations in calculus, we often encounter something called an Initial Value Problem (IVP). While differential equations describe entire families of functions, an initial value problem helps us find one specific solution that fits a given condition. What Is ... Read More
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