/
Quantum entanglement
Save to my account
Sign up
Quantum entanglement
Untitled Flashcards
Study
1
Question
What is the title of the article discussed?
Answer
Quantum entanglement
2
Question
When was the article published?
Answer
June 2015
3
Question
Who are the authors of the article?
Answer
Ludmil Hadjiivanov and Ivan Todorov
4
Question
What institution is Ludmil Hadjiivanov associated with?
Answer
Bulgarian Academy of Sciences
5
Question
What is the main focus of the article?
Answer
The historical survey of the transformation of philosophical discussions on foundational issues in quantum mechanics into a quantitative prediction of quantum entanglement.
6
Question
What paper is reformulated by David Bohm for a finite dimensional spin system?
Answer
The 1935 paper of Einstein-Podolsky-Rosen (EPR).
7
Question
What did John Bell derive that is mentioned in the article?
Answer
His inequalities that separate the prediction of quantum entanglement from its possible classical interpretation.
8
Question
What significant concept does the article provide an improved derivation of?
Answer
The quantum theoretic violation of Bell's inequalities.
9
Question
Which physicist made public the idea of a quantum computer based on the observed effect of quantum entanglement?
Answer
Richard Feynman.
10
Question
What does Section 1 of the article introduce?
Answer
An introduction to the issues troubling Einstein with the Copenhagen Interpretation of quantum mechanics.
11
Question
What specific aspect of quantum mechanics troubled Einstein, according to the article?
Answer
The instantaneous reduction of the wave function and the probability distribution when a measurement is performed.
12
Question
What experiment did Bohr refer to during his talk at the Solvay Congress in 1927?
Answer
The double slit experiment.
13
Question
What term did Schrödinger introduce in response to the EPR paper?
Answer
Entanglement.
14
Question
Who rejected Einstein's notion of physical reality and the completeness of quantum mechanical description?
Answer
Niels Bohr.
15
Question
What did David Bohm reformulate related to the EPR paradox?
Answer
The EPR paradox in terms of electron spin variables.
16
Question
What was the purpose of the paper?
Answer
To highlight the key early steps of what is being advertised as a new quantum revolution.
17
Question
What key mathematical relation does Section 2 review?
Answer
Weyl-Schrödinger's uncertainty relations.
18
Question
What does the uncertainty principle restrict?
Answer
The set of legitimate questions one can ask about the microworld.
19
Question
Who justified the uncertainty principle in 1927?
Answer
Werner Heisenberg.
20
Question
What does Proposition 21 state about an observable A?
Answer
If A is an observable, then its expectation value A is real.
21
Question
What is Schrödinger's uncertainty relation in mathematical terms?
Answer
The product of the dispersions of two noncommuting observables exceeds the sum of squares of the expectation values of their product.
22
Question
What significant event did Einstein, Podolsky, and Rosen propose in 1935?
Answer
A thought experiment involving correlated particles, leading to the EPR paradox.
23
Question
What specific type of wave function did Einstein and his collaborators consider in their proposal?
Answer
A non-normalizable wave function for two particles travelling with opposite momenta.
24
Question
What is the equation mentioned related to the wave function of the two correlated particles?
Answer
x1 x2 u p x1 u p x2 e^(i p d dp 2 x1 x2 d u p x e^(i p x).
25
Question
What does the article aim to demonstrate about quantum entanglement?
Answer
The gradual transformation from philosophical discussions into experimental verification and applications.
26
Question
What happens when one measures the momentum of a particle in relation to the second particle's momentum?
Answer
If one measures the momentum of the first particle and finds the value p1, then the momentum of the second particle will be p2.
27
Question
What effect does measuring the first particle's properties have on the second particle?
Answer
None of the operations on the first particle should disturb the second one as the distance d between the two can be made arbitrarily large.
28
Question
What conclusion do the authors reach regarding the simultaneous reality of position and momentum in quantum mechanics?
Answer
It appears that the second particle should have both definite position and definite momentum. As quantum mechanics cannot accommodate both, the authors conclude that it has to be considered incomplete.
29
Question
What is a sufficient condition for the reality of a physical quantity according to the EPR paper?
Answer
A sufficient condition for the reality of a physical quantity is the possibility of predicting it with certainty without disturbing the system.
30
Question
What is the relationship between noncommuting operators and knowledge of physical quantities in quantum mechanics?
Answer
In quantum mechanics, in the case of two physical quantities described by noncommuting operators, the knowledge of one precludes the knowledge of the other.