Author Archives: anuj - Page 9
Many Worlds’ Interpretation – The Universal Wavefunction
Hugh Everett's dissertation, "The Theory of the Universal Wavefunction," presents the foundations of what later became known as the Many-Worlds Interpretation (MWI) of quantum mechanics. Here are the key points…
Counterfactuals in QM with application to Quantum Computing
Counterfactuals in Quantum Computing Counterfactual Computation: Counterfactual computation allows one to learn the result of a computation without actually running the quantum computer. This involves the computer being in a…
Quantum Entanglement and Teleportation
Entanglement and Local Hidden Variables (LHV) Entangled States and Wigner Functions: Entangled states with non-negative Wigner functions can be interpreted using local hidden variables (LHV). Bell's theorem indicates that quantum…
Product States in Quantum Mechanics
Also read - Creating Operators and Eigenvectors What are Product States? Product States are states of entangled particles - or particles that have interacted in some manner (some energy exchange).…
Feynman, David Deustch and Quantum Computing (The Universal Quantum Computer)
Quantum System Evolution and Feynman Trying to simulate a Quantum System on a classical Turing Machine is not possible (see Feynman's Papers below). Enter David Deustch Deutsch proposed the first…
Roger Penrose and the Big Bang Theory
The big bang would have required a very low entropy state. While most physicists just take such an initial state for granted, Penrose argues that such 'improbable' states don't just…
Photons emitted at different energies
Some basics Frequency is related to the energy of the photon. Higher frequency photons have higher energy and vice versa. Low energy photons (such as radio photons) behave more like…
Wavefunction as a statistical ensemble of classical systems
We are used to the assumption that a wavefunction (in a sense) represents a classical ensemble of systems. This assumption, though helpful for certain scenarios ( simple hydrogen atom wave…
What exactly were de Broglie’s matter waves?
Also read - Careful when applying E = hv - de Broglie's matter wave energy relation De Broglie actually proposed that ALL matter was essentially waves (of what material -…
E=hv – careful when applying to material particles
DeBroglie taught us that not just photons, but all particles have an energy proportional to their wave like characteristic. For electrons and other material particles, this begs the question -…