All Quantum Computing Posts
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Quantum Computing
A Comprehensive Guide to Quantum Gates
In quantum computing, the role of logic gates is played by quantum gates – unitary transformations on one or more qubits. These are the elementary “moves” that a quantum computer can perform on quantum data. Just as classical gates compose to implement arbitrary Boolean functions, quantum gates compose to implement arbitrary unitary operations. However, quantum gates have striking differences from classical ones: they are reversible…
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Quantum Computing
Quantum Fourier Transform (QFT)
Quantum Fourier Transform (QFT), like a physical Fourier transform, takes a time-domain wave and represents it in the frequency domain. In the quantum case, the “time-domain” is the computational basis amplitude distribution, and the “frequency-domain” is another basis where the basis states correspond to different phase gradients across the original amplitudes. If the original state has a regular pattern (phase advancing uniformly from one basis…
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Quantum Computing
Hadamard Gate: The Gateway to Superposition
The Hadamard gate takes a qubit and puts it into an equal superposition of “0” and “1” (with a relative phase of + or -). It has a simple matrix but a profound impact: it enables parallelism and interference in quantum algorithms. Historically rooted in Hadamard matrices from mathematics, it has become one of the iconic quantum gates. Whether thought of as a coin flipper,…
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Quantum Computing
Quantum Superposition: How Qubits Live in Many States at Once
Quantum computing promises to solve problems that stump even the fastest classical supercomputers. At the heart of this promise is a mind-bending phenomenon: quantum superposition. In simple terms, superposition allows quantum bits—or qubits—to occupy multiple states at the same time, unlike ordinary bits which are firmly either 0 or 1. This concept sounds like science fiction, but it’s a well-established principle of quantum physics, illustrated…
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Quantum Computing
Colliding Waves: How Quantum Interference Powers Quantum Computing
Quantum interference remains the cornerstone of quantum computing’s promise. It’s the feature that distinguishes quantum computation from just a random quantum jumble. A quantum computer is not powerful simply because it can have many states at once – if that were all, measuring would give a random one and it wouldn’t be useful. It’s powerful because those many states can interfere in a orchestrated way…
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Quantum Computing
Understanding “Polynomial Time” – Why Faster Algorithms Matter
Quantum computing has emerged as a new frontier of great-power competition in the 21st century. Nations around the world view advanced quantum technologies as strategic assets—keys to future economic prowess, military strength, and technological sovereignty. Governments have already poured over $40 billion into quantum research and development globally, launching national initiatives and international collaborations to secure a lead in this critical domain.
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Quantum Computing
Key Principles and Theorems in Quantum Computing and Networks
The landscape of quantum computing and quantum networks is an exciting frontier where physics and cybersecurity intersect. We’re witnessing the early days of this quantum revolution. As quantum hardware scales and quantum protocols move from labs to real-world deployment, security experts will need to collaborate with physicists like never before. By mastering concepts like Heisenberg’s uncertainty, Bell’s theorem, and the no-cloning rule, cybersecurity professionals equip…
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Quantum Computing
Qubits: A Brief Introduction for Cybersecurity Professionals
A qubit is the quantum analog of a classical bit – it’s the basic unit of quantum information. However, unlike a classical bit that can only be 0 or 1 at any given time, a qubit can exist in a combination of both 0 and 1 states simultaneously. This property is called superposition.
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