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Quantum Computing – Fundamental Concepts

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Nielsen, M. A., & Chuang, I. L. (2010). Quantum computation and quantum information. Cambridge university press. Key events in the field of quantum computation are, occurance of various crises in physics such as “ultraviolet catastrophe” in twentieth century with modern theory of quantum quantum mechanics starting in 1920s. Various other crucial algorithms are no-cloning theorem, Turing ... Read More

Quantum Computing – Notations and Terms

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Nielsen, M. A., & Chuang, I. L. (2010). Quantum computation and quantum information. Cambridge university press. Linear Algebra plays crucial part in understanding and representing quantum computing concepts. Some of the most frequent used quantum gates are hadamard, pauli X, Y, Z, etc.

Calculus – Rate of Change and Limit

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Finney, R. L., Giordano, F. R., Weir, M. D., Thomas, G. B., Jr., & Calculus and analytic geometry. (2001). Thomas’ calculus (Tenth edition / based on the original work by George B. Thomas, Jr.,as revised by Ross L. Finney, Maurice D. Weir, and Frank R. Giordano.). Addison-Wesley. Average rate of change of function $y=f(x)$ is given by ... Read More

Calculus – Functions

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Finney, R. L., Giordano, F. R., Weir, M. D., Thomas, G. B., Jr., & Calculus and analytic geometry. (2001). Thomas’ calculus (Tenth edition / based on the original work by George B. Thomas, Jr.,as revised by Ross L. Finney, Maurice D. Weir, and Frank R. Giordano.). Addison-Wesley. y is called the function of x if, $y = ... Read More

News – Google’s Quantum Advantage Oct 23 2025

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A verifiable quantum advantage https://research.google/blog/a-verifiable-quantum-a dvantagehttps://www.theguardian.com/technology/2025/oct/22/google-hails-breakthrough-as-quantum-computer-surpasses-ability-of-supercomputersGoogle unveils quantum computing breakthrough on Willow chiphttps://www.afr.com/technology/google-unveils-quantum-computing-breakthrough-on-willow-chip-20251023-p5n4m8Google claims ‘quantum advantage’ again — but researchers are scepticalhttps://www.nature.com/articles/d41586-025-03300-4Observation of constructive interference at the edge of quantum ergodicityhttps://www.nature.com/articles/s41586-025-09526-6 Key Claims: D. A. Abanin, “Observation of constructive interference at the edge of quantum ergodicity”.

Quantum Computing – Gates Basics

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C. P. Williams, Explorations in Quantum Computing. in Texts in Computer Science. London: Springer, 2011. doi: 10.1007/978-1-84628-887-6. Defining a unitary matrix, where $U^{-1} = U^\dagger $ (inverse equals its conjugate transpose). Pauli matrices: $1 = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}$ $X = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}$ ... Read More

Calculus – Coordinates, Lines and Increments

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Finney, R. L., Giordano, F. R., Weir, M. D., Thomas, G. B., Jr., & Calculus and analytic geometry. (2001). Thomas’ calculus (Tenth edition / based on the original work by George B. Thomas, Jr.,as revised by Ross L. Finney, Maurice D. Weir, and Frank R. Giordano.). Addison-Wesley. The coodinates of point $P(a,b)$ are $a$ and $b$. $a$ ... Read More

Calculus – Preliminaries

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Finney, R. L., Giordano, F. R., Weir, M. D., Thomas, G. B., Jr., & Calculus and analytic geometry. (2001). Thomas’ calculus (Tenth edition / based on the original work by George B. Thomas, Jr.,as revised by Ross L. Finney, Maurice D. Weir, and Frank R. Giordano.). Addison-Wesley.

Controlled Barrage Regions (CBR)

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[1] T. R. Halford, K. M. Chugg, and A. Polydoros, “Barrage relay networks: System & protocol design,” in 21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, Sep. 2010, pp. 1133–1138. doi: 10.1109/PIMRC.2010.5672062. [2] T. R. Halford and K. M. Chugg, “Barrage Relay Networks,” in 2010 Information Theory and Applications Workshop (ITA), ... Read More

CBR Establishment Analysis

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T. R. Halford, K. M. Chugg, and A. Polydoros, “Barrage relay networks: System & protocol design,” in 21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, Sep. 2010, pp. 1133–1138. doi: 10.1109/PIMRC.2010.5672062.
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