scholarly journals Quantum Correlations and Quantum Non-Locality: A Review and a Few New Ideas

2019 ◽  
Vol 9 (24) ◽  
pp. 5406 ◽  
Author(s):  
Marco Genovese ◽  
Marco Gramegna
Keyword(s):  
Quantum Mechanics ◽  
Special Relativity ◽  
Quantum Correlations ◽  
Quantum Non Locality ◽  
Higher Dimensional ◽  
New Ideas ◽  
Non Locality

In this paper we make an extensive description of quantum non-locality, one of the most intriguing and fascinating facets of quantum mechanics. After a general presentation of several studies on this subject dealing with different but connected facets of quantum non-locality, we consider if this, and the friction it carries with special relativity, can eventually find a “solution” by considering higher dimensional spaces.

Quantum Becoming?

2017 ◽  
Author(s):  
Craig Callender
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Quantum Time ◽  
Quantum Non Locality ◽  
Time Quantum ◽  
Temporal Becoming ◽  
Non Locality ◽  
Quantum Wavefunction

Two of quantum mechanics’ more famed and spooky features have been invoked in defending the idea that quantum time is congenial to manifest time. Quantum non-locality is said by some to make a preferred foliation of spacetime necessary, and the collapse of the quantum wavefunction is held to vindicate temporal becoming. Although many philosophers and physicists seek relief from relativity’s assault on time in quantum theory, assistance is not so easily found.

scholarly journals Contextual Inferences, Nonlocality, and the Incompleteness of Quantum Mechanics

Entropy ◽  
2021 ◽  
Vol 23 (12) ◽  
pp. 1660
Author(s):  
Philippe Grangier
Keyword(s):  
Quantum Mechanics ◽  
Quantum State ◽  
Hidden Variables ◽  
Point Of View ◽  
Local Realism ◽  
Quantum Non Locality ◽  
Relativistic Causality ◽  
Usual Quantum ◽  
Measurement Context ◽  
Non Locality

It is known that “quantum non locality”, leading to the violation of Bell’s inequality and more generally of classical local realism, can be attributed to the conjunction of two properties, which we call here elementary locality and predictive completeness. Taking this point of view, we show again that quantum mechanics violates predictive completeness, allowing the making of contextual inferences, which can, in turn, explain why quantum non locality does not contradict relativistic causality. An important question remains: if the usual quantum state ψ is predictively incomplete, how do we complete it? We give here a set of new arguments to show that ψ should be completed indeed, not by looking for any “hidden variables”, but rather by specifying the measurement context, which is required to define actual probabilities over a set of mutually exclusive physical events.

scholarly journals Quantum Correlations and Permutation Symmetries

2018 ◽  
Author(s):  
Mrittunjoy Guha Majumdar
Keyword(s):  
Quantum System ◽  
Graphical Method ◽  
Quantum Correlations ◽  
Quantum States ◽  
Matrix Analysis ◽  
Reduced Density Matrix ◽  
Density Matrices ◽  
Quantum Non Locality ◽  
Reduced Density ◽  
Non Locality

In this paper, the connections between quantum non-locality and permutation symmetries areexplored. This includes two types of symmetries: permutation across a superposition and permutationof qubits in a quantum system. An algorithm is proposed for nding the separability class ofa quantum state using a method based on factorizing an arbitrary multipartite state into possiblepartitions, cyclically permuting qubits of the vectors in a superposition to check which separabilityclass it falls into and thereafter using a reduced density-matrix analysis of the system is proposed.For the case of mixed quantum states, conditions for separability are found in terms of the partialtransposition of the density matrices of the quantum system. One of these conditions turns out tobe the Partial Positive Transpose (PPT) condition. A graphical method for analyzing separabilityis also proposed. The concept of permutation of qubits is shown to be useful in dening a newentanglement measure in the `engle'.

scholarly journals Branching Space-Times

2021 ◽  
Author(s):  
Nuel Belnap ◽  
Thomas Müller ◽  
Tomasz Placek
Keyword(s):  
Single Case ◽  
Formal Analysis ◽  
Rigorous Theory ◽  
Quantum Non Locality ◽  
Foundations Of Physics ◽  
Local Contexts ◽  
Rigorous Framework ◽  
Non Local ◽  
Spatio Temporal ◽  
Non Locality

This book develops a rigorous theory of indeterminism as a local and modal concept. Its crucial insight is that our world contains events or processes with alternative, really possible outcomes. The theory aims at clarifying what this assumption involves, and it does it in two ways. First, it provides a mathematically rigorous framework for local and modal indeterminism. Second, we support that theory by spelling out the philosophically relevant consequences of this formulation and by showing its fruitful applications in metaphysics. To this end, we offer a formal analysis of modal correlations and of causation, which is applicable in indeterministic and non-local contexts as well. We also propose a rigorous theory of objective single-case probabilities, intended to represent degrees of possibility. In a third step, we link our theory to current physics, investigating how local and modal indeterminism relates to issues in the foundations of physics, in particular, quantum non-locality and spatio-temporal relativity. The book also ventures into the philosophy of time, showing how the theory’s resources can be used to explicate the dynamic concept of the past, present, and future based on local indeterminism.

Sign in / Sign up

Export Citation Format

Share Document