Archives for Entanglement
Partial-Sum Probabilities vs. Bell Correlations
Partial-Sum Probabilities vs. Bell Correlations — Illustrated Partial-Sum Probabilities ⇄ Successive Measurements in Bell Experiments Figure: Left — running-partial-sum Markov transitions; Right — Bell measurement settings and entangled state. (Generated…
Boost of a Singlet Entangled State
Lorentz Boost of a Spin-Singlet: A Worked Example with Wigner Rotations Lorentz Boost of a Spin-Singlet: A Worked Example with Wigner Rotations We show explicitly how a Lorentz boost acts…
Entangled States and Reference Frames
Relativistic Treatment of Entangled Particles Also read - Boost of a singlet entangled state 1. Lorentz Invariance of Entanglement Entanglement is a property of the quantum state as a…
Entangled States, Extra Dimensions and FTL
Entanglement, Extra Dimensions, and Faster-Than-Light Communication Entanglement, Extra Dimensions, and Faster-Than-Light Communication The question of whether extra dimensions (spatial or temporal) accessible to entangled systems could allow faster-than-light (FTL) communication…
Amplitude in an Entangled Wavefunction
Q&A: What Does the Amplitude Represent for an Entangled Wavefunction? Q1. Since wavefunctions are amplitudes, what does the amplitude represent? 1) Wavefunction as an amplitude The wavefunction Ψ…
Symmetries in Entangled States
Symmetries in Entangled States under Bohm's Quantum Potential (FTL Assumption) Assuming faster-than-light (FTL) communication is possible via Bohm's Quantum Potential, you're entering a non-local hidden variable interpretation of quantum mechanics.…
Two particle wavefuction = 6 spatial dimensions
Why a Two-Particle Wavefunction Lives in Six Dimensions — and How That Gives Us Entanglement Ask a beginning student of quantum mechanics where a particle “is,” and they will…
GHZ Experiment – Bell’s Theorem
Why the GHZ Test Is Better Than Bell’s Original Setup Also read - Derivation of GHZ 1. Bell’s Test is Statistical — GHZ is Deterministic Bell's theorem relies on statistical…
Derivation of GHZ using Dirac Notation
GHZ Derivation Using Dirac Notation The GHZ state provides a clean, deterministic contradiction with local hidden variable theories using quantum mechanics and entangled states. Below is a step-by-step derivation…
The Aspect Experiment: Quantum Entanglement, Bell’s Theorem, and Reality
bell experiment The Aspect Experiment: Quantum Entanglement, Bell’s Theorem, and Reality In 1982, Alain Aspect conducted one of the most famous experiments in modern physics — a test of quantum…