@@@@@@@@#$%Discuss the concept of entanglement in quantum mechanics and its implications for information theory.
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Entanglement is a phenomenon where two or more particles become correlated in such a way that the state of one particle is dependent on the state of the other, even if they are separated by a large distance. This means that measuring the state of one particle Show more…
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Entangled states. The singlet spin configuration (Equation 12.1 ) is the classic example of an entangled state-a two-particle state that cannot be expressed as the product of two one-particle states, and for which, therefore, one cannot really speak of "the state" of either particle separately. You might wonder whether this is somehow an artifact of bad notation-maybe some linear combination of the one-particle states would disentangle the system. Prove the following theorem: Consider a two-level system, $left.|phi_{a} ight)$ and $left|phi_{b} ight angle,$ with $(phi_{i}left|phi_{j} ight angle=delta_{i j}$ (For example, $left|phi_{a} ight angle$ might represent spin up and $left|phi_{b} ight angle$ spin down.) The two-particle state [ left.alpha | phi_{a}(1) ight)left|phi_{b}(2) ight angle+etaleft|phi_{b}(1) ight angleleft|phi_{a}(2) ight angle ] (with $alpha eq 0$ and $eta eq 0$ ) cannot be expressed as a product [ left|psi_{r}(1) ight angleleft|psi_{s}(2) ight angle ] for any one-particle states $left|psi_{r} ight angle$ and $left|psi_{s} ight angle$ Hint: Write $left|psi_{r} ight angle$ and $|psi_{s}$ ) as linear combinations of $left|phi_{a} ight angle$ and $left|phi_{b} ight angle$
Madhur L.
I have a two-path (Mach-Zehnder) interferometer. If I block path 1, the probability of a photon following path 2 and hitting the detector is 25%. If I block path 2, the probability of a photon following path 1 and hitting the detector is 16%. a. If I open both paths and there is no information to tell which path a photon takes, what is the maximum possible detection probability? b. If I open both paths and there is no information to tell which path a photon takes, what is the minimum possible detection probability? c. If I open both paths and an eavesdropper possesses perfect information about which path the photons take, what is the maximum possible detection probability?
Supreeta N.
Does the fact that interference occurs between various parts of the wave associated with a single particle (as in the G. I. Taylor experiments) simplify or complicate quantum physics?
De Broglie'S Postulate-Wavelike Properties Of Particles
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