360 research outputs found
Non-Locality and Theories of Causation
The aim of the paper is to investigate the characterization of an unambiguous
notion of causation linking single space-llike separated events in EPR-Bell
frameworks. This issue is investigated in ordinary quantum mechanics, with some
hints to no collapse formulations of the theory such as Bohmian mechanics.Comment: Presented at the NATO Advanced Research Workshop on Modality,
Probability and Bell's Theorems, Cracow, Poland, August 19-23, 200
Bell's Theorem and Chemical Potential
Chemical potential is a property which involves the effect of interaction
between the components of a system, and it results from the whole system. In
this paper, we argue that for two particles which have interacted via their
spins and are now spatially separated, the so-called Bell's locality condition
implies that the chemical potential of each particle is an individual property.
Here is a point where quantum statistical mechanics and the local hidden
variable theories are in conflict. Based on two distinct concepts of chemical
potential, the two theories predict two different patterns for the energy
levels of a system of two entangled particles. In this manner, we show how one
can distinguish the non-separable features of a two-particle system.Comment: 11 pages,1 figure, To appear in J. Phy. A: Math. Gen., Special Issue:
Foundations of Quantum Theor
Simulation of bipartite qudit correlations
We present a protocol to simulate the quantum correlations of an arbitrary
bipartite state, when the parties perform a measurement according to two
traceless binary observables. We show that bits of classical
communication is enough on average, where is the dimension of both systems.
To obtain this result, we use the sampling approach for simulating the quantum
correlations. We discuss how to use this method in the case of qudits.Comment: 7 page
The Immanent Contingency of Physical Laws in Leibnizâs Dynamics
This paper focuses on Leibnizâs conception of modality and its application to the issue of natural laws. The core of Leibnizâs investigation of the modality of natural laws lays in the distinction between necessary, geometrical laws on the one hand, and contingent, physical laws of nature on the other. For Leibniz, the contingency of physical laws entailed the assumption of the existence of an additional form of causality beyond mechanical or efficient ones. While geometrical truths, being necessary, do not require the use of the principle of sufficient reason, physical laws are not strictly determined by geometry and therefore are logically distinct from geometrical laws. As a consequence, the set of laws that regulate the physical laws could have been created otherwise by God. However, in addition to this, the contingency of natural laws does not consist only in the fact that God has chosen them over other possible ones. On the contrary, Leibniz understood the status of natural laws as arising from the action internal to physical substances. Hence the actuality of physical laws results from a causal power that is inherent to substances rather than being the mere consequence of the way God arranged the relations between physical objects. Focusing on three instances of Leibnizâs treatment of contingency in physics, this paper argues that, in order to account for the contingency of physical laws, Leibniz maintained that final causes, in addition to efficient and mechanical ones, must operate in physical processes and operations
How much measurement independence is needed in order to demonstrate nonlocality?
If nonlocality is to be inferred from a violation of Bell's inequality, an
important assumption is that the measurement settings are freely chosen by the
observers, or alternatively, that they are random and uncorrelated with the
hypothetical local variables. We study the case where this assumption is
weakened, so that measurement settings and local variables are at least
partially correlated. As we show, there is a connection between this type of
model and models which reproduce nonlocal correlations by allowing classical
communication between the distant parties, and a connection with models that
exploit the detection loophole. We show that even if Bob's choices are
completely independent, all correlations obtained from projective measurements
on a singlet can be reproduced, with the correlation (measured by mutual
information) between Alice's choice and local variables less than or equal to a
single bit.Comment: 5 pages, 1 figure. v2 Various improvements in presentation. Results
unchange
Causarum Investigatio and the Two Bell's Theorems of John Bell
"Bell's theorem" can refer to two different theorems that John Bell proved,
the first in 1964 and the second in 1976. His 1964 theorem is the
incompatibility of quantum phenomena with the joint assumptions of Locality and
Predetermination. His 1976 theorem is their incompatibility with the single
property of Local Causality. This is contrary to Bell's own later assertions,
that his 1964 theorem began with the assumption of Local Causality, even if not
by that name. Although the two Bell's theorems are logically equivalent, their
assumptions are not. Hence, the earlier and later theorems suggest quite
different conclusions, embraced by operationalists and realists, respectively.
The key issue is whether Locality or Local Causality is the appropriate notion
emanating from Relativistic Causality, and this rests on one's basic notion of
causation. For operationalists the appropriate notion is what is here called
the Principle of Agent-Causation, while for realists it is Reichenbach's
Principle of common cause. By breaking down the latter into even more basic
Postulates, it is possible to obtain a version of Bell's theorem in which each
camp could reject one assumption, happy that the remaining assumptions reflect
its weltanschauung. Formulating Bell's theorem in terms of causation is
fruitful not just for attempting to reconcile the two camps, but also for
better describing the ontology of different quantum interpretations and for
more deeply understanding the implications of Bell's marvellous work.Comment: 24 pages. Prepared for proceedings of the "Quantum [Un]speakables II"
conference (Vienna, 2014), to be published by Springe
Effects of cyclic nucleotides on midgut infections and maturation of T. b. brucei in G. m. morsitans
Cyclic nucleotide signalling through cyclic adenosine monophosphate (cAMP) is thought to play an important role in the transformation of the long slender (dividing) form to the short-stumpy (arrested) form in the mammalian bloodstream but the role of cyclic nucleotides in the tsetse-based part of the trypanosome life cycle is unknown. In a series of in vivo experiments, it was found that cyclic guanosine monophosphate (cGMP) but not cAMP could induce significantly higher rates of midgut infection in tsetse. Continuous feeding of either cGMP or cAMP to tsetse had no effect on rates of maturation of established midgut infections suggesting that these two parts of the life cycle in tsetse are not linked
Classical communication cost of quantum steering
Quantum steering is observed when performing appropriate local measurements
on an entangled state. Here we discuss the possibility of simulating
classically this effect, using classical communication instead of entanglement.
We show that infinite communication is necessary for exactly simulating
steering for any pure entangled state, as well as for a class of mixed
entangled states. Moreover, we discuss the communication cost of steering for
general entangled states, as well as approximate simulation. Our findings
reveal striking differences between Bell nonlocality and steering, and provide
a natural way of measuring the strength of the latter.Comment: 7 pages, 1 figure. See also arXiv:1603.xxxxx for related work by S.
Nagy and T. V\'ertes
Non-realism : deep thought or a soft option ?
The claim that the observation of a violation of a Bell inequality leads to
an alleged alternative between nonlocality and non-realism is annoying because
of the vagueness of the second term.Comment: 5 page
Solving the Einstein-Podolsky-Rosen puzzle: the origin of non-locality in Aspect-type experiments
So far no mechanism is known, which could connect the two measurements in an
Aspect-type experiment. Here, we suggest such a mechanism, based on the phase
of a photon's field during propagation. We show that two polarization
measurements are correlated, even if no signal passes from one point of
measurement to the other. The non-local connection of a photon pair is the
result of its origin at a common source, where the two fields acquire a well
defined phase difference. Therefore, it is not actually a non-local effect in
any conventional sense. We expect that the model and the detailed analysis it
allows will have a major impact on quantum cryptography and quantum
computation.Comment: 5 pages 1 figure. Added an analysis of quantum steering. The result
is that under certain conditions the experimental result at B can be
predicted if the polarization angle and the result at A are known. The paper
has been accepted for publication in Frontiers of Physics. arXiv admin note:
substantial text overlap with arXiv:1108.435
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