3 ms·
Hidden variable theory: https://en.wikipedia.org/wiki/Hidden-variable_theory https://en.wikipedia.org/wiki/Hidden-variable_theory Bell test: https://en.wikiped
by westurner 2y ago
Hidden variable theory: https://en.wikipedia.org/wiki/Hidden-variable_theory https://en.wikipedia.org/wiki/Hidden-variable_theory
Bell test: https://en.wikipedia.org/wiki/Bell_test https://en.wikipedia.org/wiki/Bell_test :
> To do away with this assumption it is necessary to detect a sufficiently large fraction of the photons. This is usually characterized in terms of the detection efficiency
η [\eta], defined as the probability that a photodetector detects a photon that arrives at it. Anupam Garg and N. David Mermin showed that when using a maximally entangled state and the CHSH inequality an efficiency of
η > 2*sqrt(2)/2~= 0.83 is required for a loophole-free violation.[51] Later Philippe H. Eberhard showed that when using a partially entangled state a loophole-free violation is possible for
η>2/3~=0.67 which is the optimal bound for the CHSH inequality.[53] Other Bell inequalities allow for even lower bounds. For example, there exists a four-setting inequality which is violated for
η>(sqrt(5)-1)/2~=0.62 [54]
CHSH inequality: https://en.wikipedia.org/wiki/CHSH_inequality https://en.wikipedia.org/wiki/CHSH_inequality
/sbin/chsh
Isn't it possible to measure the wake of a photon instead of measuring the photon itself; to measure the wake without affecting the boat that has already passed? And shouldn't a simple beam splitter be enough to demonstrate entanglement if there is an instrument with sufficient sensitivity to infer the phase of a passed photon?
This says that intensity is sufficient to read phase: https://news.ycombinator.com/item?id=40492160 https://news.ycombinator.com/item?id=40492160 :
> "Bridging coherence optics and classical mechanics: A generic light polarization-entanglement complementary relation" (2023) https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.5.033110 https://journals.aps.org/prresearch/abstract/10.1103/PhysRev... :
>> This means that hard-to-measure optical properties such as amplitudes, phases and correlations—perhaps even these of quantum wave systems—can be deduced from something a lot easier to measure: light intensity
And all it takes to win the game is to transmit classical bits with digital error correction using hidden variables?
- westurner 2y agoFrom "Violation of Bell inequality by photon scattering on a two-level emitter" https://news.ycombinator.com/item?id=40917761 https://news.ycombinator.com/item?id=40917761 ... From "Scientists show that there is indeed an 'entropy' of quantum entanglement" (2024) https://news.ycombinator.com/item?id=40396001#40396211 https://news.ycombinator.com/item?id=40396001#40396211 : > IIRC I read on Wikipedia one day that Bell's actually says there's like a 60% error rate?(!) That was probably the "Bell test" article, which - IIUC - does indeed indicate that if you can read 62% of the photons you are likely to find a loophole-free violation. What is the photon detection rate in this and other simulators?