Awesome-Quantum

> A collection of various awesome resources about quantum mechanics, cryptography, computing, and hacking.

5 of the fundamental equations in quantum mechanics:

Schrödinger Equation (time-dependent): $$i\hbar\frac{\partial}{\partial t}\Psi(\mathbf{r},t) = \hat{H}\Psi(\mathbf{r},t)$$ This equation describes how the quantum state of a system evolves over time. It relates the rate of change of the wavefunction $\Psi$ to the Hamiltonian operator $\hat{H}$, which represents the total energy of the system.

Schrödinger Equation (time-independent): $$\hat{H}\Psi(\mathbf{r}) = E\Psi(\mathbf{r})$$ This is the time-independent form of the Schrödinger equation, used to find the stationary states and energy levels of a system.

Born Rule (probability interpretation): $$\int_{V}|\Psi(\mathbf{r})|^2 dV = 1$$ *This equation states that the square of the wavefunction $|\Psi|^2$ represents the probability density of finding a particle at a given position.

Heisenberg Uncertainty Principle: $$\Delta x \Delta p \geq \frac{\hbar}{2}$$ This principle states that there is a fundamental limit to the precision with which certain pairs of physical properties (such as position and momentum) can be simultaneously measured.

Dirac Equation (relativistic): $$\left(i\hbar\gamma^\mu\partial_\mu - mc\right)\Psi = 0$$ *This is the relativistic wave equation for spin-1/2 particles, proposed by Paul Dirac, which incorporates both quantum mechanics and special relativity. *

Quantum Mechanics:

• Quantum Mechanics Overview
• Particle in a Box - Wikipedia
• Quantum Coherence and Entanglement
• World's Picture of Quantum Mechanics
• Quantum Cryptography: Safeguarding Information with the Power of Quantum Mechanics
• Understanding the Basics of Quantum Mechanics
• Quantum Theory's Collapse
• Quantum Bayesianism - Wikipedia
• Quantum Sensor to Detect COVID
• Quantum Metrology in Many-Body States
• Quantum Gravity
• Physicists Rewrite a Quantum Rule That Clashes With Our Universe
• Double-Slit Experiment - Wikipedia
• Fundamentals of Quantum Information
• Schrödinger's cat
• Quantum entanglement
• Einstein–Podolsky–Rosen paradox
• Bra–ket notation
• What are operators in quantum mechanics
• YouTube Video
• Energy Levels of the one-dimensional harmonic oscillator
• Annihilation operator in harmonic oscillator
• QMBS
• Slide Presentation
• Article on Nature
• Quantum state tomography measurement
• QBism, the Perimeter of Quantum Bayesianism
• Pilot Wave Quantum Mechanics Theory
• YouTube Video
• Article on Physics
• New theory seeks to unite Einstein's gravity with quantum mechanics
• Loop Quantum Gravity: Is Space-Time Quantized?
• Experimental quantum mechanics unveils new opportunities
• A new quantum paradox throws the foundations of 'observed reality' into question
• Einstein–Podolsky–Rosen paradox

Quantum Cryptography and Hacking

• A Simple Intercept-Resend Attack

• Quantum Cryptography: From Theory to Practice

• Quantum Cryptography AV Media

• Secure Quantum Communication

• Quantum Hacking and Its Critical Vulnerabilities

• Security of Quantum Communication Networks

• Plug-and-Play QKD Device Under Attack

• NPJ Quantum Information Journal

• Quantum Cryptography: A Comprehensive Survey

• Post-Quantum Cryptography

• Understanding Quantum Cryptography

• Quantum Cryptography for Enhanced Network Security

• NIST Standardizes PQShield Algorithms for International Post-Quantum Cryptography

• Quantum Key Distribution

• Cryptographic Certificates in a Quantum-Safe World

• Researchers Create First Logical Quantum Processor

• Publications from the Institute for Quantum Computing, University of Waterloo

• Research Groups in Quantum Information and Computation

• Harnessing Quantum Computing for Next-Gen Military Encryption and Security

• Quantum Computing Companies

• Quantum Computing for Healthcare

• Secrets From the Future: Hacking in a Post-Quantum Cryptography World - Implications for Cyber Security and National Defense

Books:

• quantum-mechanics

• Quantum-Mechanics-Introduction-Alexandre

• Quantum-Mechanics-Applications-Nouredine-Zettili

• Principles-Quantum-Mechanics-R-Shankar

• cohen-tannoudji-diu-and-laloe-quantum-mechanics

• Modern-Quantum-Mechanics-J-Sakurai

• M-Suhail-Zubairy

• quantum-information-theory-2nd-edition

• Quantum-Computation-Information-10th-Anniversary

• quantum-algorithms-via-linear-algebra

• Quantum-Computer-Science-David-Mermin

• quantum-computing

• article

• quantum-cryptography-and-secretkey-distillation

• quantum-information-theory

• Books-Fred-Kuttner

• foundations-of-quantum-mechanics

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