Archives for Quantum Computing
Fault Tolerant, Error Correcting Computers for Quantum Computing
Fault Tolerant Computers for Quantum Computing Errors are part of the Quantum Computing equation. By 2035, IBM envisions fault tolerant computers, capable of breaking encryption algorithms. Quantum Safe Algorithms? There's…
Feynman’s Quantum Computer
Feynman's Quantum Computer Richard Feynman was one of the pioneers in the field of quantum computation. His work laid the groundwork for understanding how quantum systems could be used to…
Reversibility versus Irreversibility in Quantum Computation
Reversibility versus Irreversibility in Quantum Computation - Feynman Reversibility is a fundamental concept in quantum computing, contrasting with classical computing, where operations are often irreversible. Reversibility: Quantum computations are inherently…
Information and Coding Theory
Concepts of Information: Information is defined in terms of probability and surprise. The less likely a message is, the more information it carries. Shannon's definition of information as the base-two…
The Halting Problem for Turing Machines
The Halting Problem for Turing Machines The Halting Problem is a fundamental concept in the theory of computation, specifically related to Turing machines. A Turing machine is a mathematical model…
Applications of Qubit Devices
The applications of qubit devices as outlined in the document are diverse and impactful, extending across various fields of science, technology, and industry. Here's a detailed exploration of these applications…
Quantum Gates and Operators in Qubit Devices
Quantum Gates and Operators in Qubit Devices The document provides an in-depth analysis of quantum gates and operators, which are fundamental components of quantum computing. Quantum Gates Quantum gates are…
Types of Qubit devices
Also read and applications of quantum devices Types of qubit devices used in quantum computing include Superconducting Qubits: Principle: Superconducting qubits are based on superconducting circuits, which exhibit quantum behaviors…
Qubit Exercises
Part (i) Find the scalar product ⟨Ψ−(θ)∣Ψ+(θ)⟩\langle \Psi_{-}(\theta) | \Psi_{+}(\theta) \rangle⟨Ψ−(θ)∣Ψ+(θ)⟩ and discuss. Given: ∣Ψ+(θ)⟩=cos(θ)∣0⟩+sin(θ)∣1⟩|\Psi_{+}(\theta)\rangle = \cos(\theta) |0\rangle + \sin(\theta) |1\rangle∣Ψ+(θ)⟩=cos(θ)∣0⟩+sin(θ)∣1⟩ ∣Ψ−(θ)⟩=cos(θ)∣0⟩−sin(θ)∣1⟩|\Psi_{-}(\theta)\rangle = \cos(\theta) |0\rangle - \sin(\theta) |1\rangle∣Ψ−(θ)⟩=cos(θ)∣0⟩−sin(θ)∣1⟩ To find…
The Church-Turing principle and the universal quantum computer
David Deutsch's paper, "Quantum theory, the Church-Turing principle and the universal quantum computer," presents several key arguments and concepts central to the field of quantum computing: Church-Turing Principle: Deutsch extends…