The totalitarian principle explains quantum correlations Adán Cabello University of Seville Purdue Winer Memorial Lectures 2018: Probability and Contextuality, Purdue University, West Lafayette, Indiana November 9, 2018

The problem of the physical origin of quantum correlations

The CHSH-Bell scenario

Is this behavior physical?

The KCBS contextuality scenario

Ideal measurements

Why “contextuality scenarios” are restricted to ideal measurements?

Why “contextuality scenarios” are restricted to ideal measurements?

Which behaviors are physical?

Which behaviors are physical?

Which behaviors are physical?

Why?

Axiom 1

Result

“The physical origin of quantum nonlocality and contextuality”, arXiv:1801.06347

Graph of exclusivity

Exclusivity is operational

Example 1

Exclusivity is operational

Exclusivity is operational

Probability assignment for an E graph

The set of probability assigments for an E graph

“Not inconsistent” behavior

“Not inconsistent” behavior

“Not inconsistent” behavior

Steps 1 & 2 of the proof

Steps 3, 4 & 5 of the proof

Step 3a: Identifying self-inconsistent distributions

Step 3a: Identifying self-inconsistent distributions

Step 3a: Identifying self-inconsistent distributions

Step 3a: Identifying self-inconsistent distributions

Step 3a: Identifying self-inconsistent distributions

Step 3a: Identifying self-inconsistent distributions

Step 3a: Identifying self-inconsistent distributions

Step 3a: Identifying self-inconsistent distributions

Step 3b: Identifying self-consistent distributions

Step 3b: Identifying self-consistent distributions

Step 4: Characterizing the set of “not inconsistent” assignments for self-complementary E graphs

Complement

The pentagon is self-complementary

Step 4: Characterizing the set of “not inconsistent” assignments for self-complementary E graphs

Step 4: Characterizing the set of “not inconsistent” assignments for self-complementary E graphs

Step 5: Characterizing the set of “not inconsistent” assignments for any E graph

Proof (1)

Proof (2)

Proof (3)

Generalized composition

Proof (4)

H(G) is self-complementary

H(G) is self-complementary

Proof (5)

“Not inconsistent” assignments for any E graph

Step 6: Characterizing the set of “not inconsistent” behaviors for any Bell and contextuality scenario

The E graph of the CHSH-Bell scenario

Being “not inconsistent” for the E graph implies

The restrictions that characterize the scenario

Example of an exclusivity constraint

Example of an exclusivity constraint

The E graph of the CHSH-Bell scenario

The E graph of the CHSH-Bell scenario

End

Where does quantum theory come from? The right view. There are many ways to look at QT. Each organized around a fundamental concept

Conclusions

“The physical origin of quantum nonlocality and contextuality”, arXiv:1801.06347