Research on hidden variable theories: A review of recent progresses

Genovese, M.

doi:10.1016/j.physrep.2005.03.003

Cited by 449 publications

(483 citation statements)

References 456 publications

Supporting

Mentioning

472

Contrasting

Unclassified

Order By: Relevance

“…They play in quantum mechanics the same rôle as random variables in classical statistical mechanics, except for the essential fact that they belong to a non-commutative algebra, the structure of which fully characterizes the system [156]. Ordinary reasoning and macroscopic experience do not help us to develop intuition about such non-commuting physical quantities, and this is the main incentive for proposals of alternative interpretations of quantum mechanics [17,19,214,216,217,303].…”

Section: Physical Quantities: Observablesmentioning

confidence: 99%

“…For instance, the probability of a false registration does not vanish but is small for large N ( § 7.3.3). Still, the statistical solution of the quantum measurement problem does not exclude the existence of a hidden variable theory that would describe individual measurements, the statistics of which would be given by the probabilistic theory, that is, the standard quantum mechanics; see [303] for a recent review of hidden variable theories.…”

Section: Probabilities Are Omnipresentmentioning

confidence: 99%

“…Among the proposed realist interpretations, one should distinguish those which provide exactly the same outcomes as the conventional quantum mechanics, and that can therefore neither be verified nor falsified. They have been extensively reviewed [17,19,31,36,214,216,217,303] (see also references in § 1.1.1), and we discussed above some of them in connection with models of measurements. Many involve hidden variables of various kinds (such as Bohm and de Broglie's bunches of trajectories or such as stochastic backgrounds) or hidden structures (such as consistent histories, see subsection 2.9).…”

Section: Dutch Expressionmentioning

confidence: 99%

See 2 more Smart Citations

Understanding quantum measurement from the solution of dynamical models

Allahverdyan¹,

Balian²,

2013

View full text Add to dashboard Cite

The quantum measurement problem, to wit, understanding why a unique outcome is obtained in each individual experiment, is currently tackled by solving models. After an introduction we review the many dynamical models proposed over the years for elucidating quantum measurements. The approaches range from standard quantum theory, relying for instance on quantum statistical mechanics or on decoherence, to quantum-classical methods, to consistent histories and to modifications of the theory. Next, a flexible and rather realistic quantum model is introduced, describing the measurement of the z-component of a spin through interaction with a magnetic memory simulated by a Curie-Weiss magnet, including N 1 spins weakly coupled to a phonon bath. Initially prepared in a metastable paramagnetic state, it may transit to its up or down ferromagnetic state, triggered by its coupling with the tested spin, so that its magnetization acts as a pointer. A detailed solution of the dynamical equations is worked out, exhibiting several time scales. Conditions on the parameters of the model are found, which ensure that the process satisfies all the features of ideal measurements. Various imperfections of the measurement are discussed, as well as attempts of incompatible measurements. The first steps consist in the solution of the Hamiltonian dynamics for the spin-apparatus density matrixD(t). Its off-diagonal blocks in a basis selected by the spin-pointer coupling, rapidly decay owing to the many degrees of freedom of the pointer. Recurrences are ruled out either by some randomness of that coupling, or by the interaction with the bath. On a longer time scale, the trend towards equilibrium of the magnet produces a final stateD(t f ) that involves correlations between the system and the indications of the pointer, thus ensuring registration. AlthoughD(t f ) has the form expected for ideal measurements, it only describes a large set of runs. Individual runs are approached by analyzing the final states associated with all possible subensembles of runs, within a specified version of the statistical interpretation. There the difficulty lies in a quantum ambiguity: There exist many incompatible decompositions of the density matrixD(t f ) into a sum of sub-matrices, so that one cannot infer from its sole determination the states that would describe small subsets of runs. This difficulty is overcome by dynamics due to suitable interactions within the apparatus, which produce a special combination of relaxation and decoherence associated with the broken invariance of the pointer. Any subset of runs thus reaches over a brief delay a stable state which satisfies the same hierarchic property as in classical probability theory; the reduction of the state for each individual run follows. Standard quantum statistical mechanics alone appears sufficient to explain the occurrence of a unique answer in each run and the emergence of classicality in a measurement process. Finally, pedagogical exercises are proposed and lessons for future works on m...

show abstract

Section: Physical Quantities: Observablesmentioning

confidence: 99%

Section: Probabilities Are Omnipresentmentioning

confidence: 99%

Section: Dutch Expressionmentioning

confidence: 99%

See 1 more Smart Citation

Understanding quantum measurement from the solution of dynamical models

Allahverdyan¹,

Balian²,

2013

View full text Add to dashboard Cite

show abstract

“…Consider Alice and Bob, performing measurements at distant laboratories A and B in order to implement a Bell-CHSH test of local realism [1,2,3,4,5]. We label their measurement settings as a and b respectively, and their measurement results as x and y, with x, y ∈ {±1}.…”

Section: Introductionmentioning

confidence: 99%

Test of the no‐signaling principle in the Hensen loophole‐free CHSH experiment

Adenier

Khrennikov

2017

Fortschritte der Physik

View full text Add to dashboard Cite

We analyze the data from the loophole-free CHSH experiment performed by Hensen et al, and show that it is actually not exempt of an important loophole. By increasing the size of the sample of event-ready detections, one can exhibit in the experimental data a violation of the no-signaling principle with a statistical significance at least similar to that of the reported violation of the CHSH inequality, if not stronger.

show abstract

“…12.2], [22,Sects. 1.5,3.7.2], and a review article [16] with references therein. Particularly, it is interesting to look how does the WCM compare with the Bohmian Mechanics (BM), [10], [22,Sects.…”

Section: Quantum Statistics and Non-localitymentioning

confidence: 99%

Wave-Corpuscle Mechanics for Electric Charges

Babin

Figotin

2009

J Stat Phys

View full text Add to dashboard Cite

It is well known that the concept of a point charge interacting with the electromagnetic (EM) field has a problem. To address that problem we introduce the concept of wave-corpuscle to describe spinless elementary charges interacting with the classical EM field. Every charge interacts only with the EM field and is described by a complex valued wave function over the 4-dimensional space time continuum. A system of many charges interacting with the EM field is defined by a local, gauge and Lorentz invariant Lagrangian with a key ingredient-a nonlinear self-interaction term providing for a cohesive force assigned to every charge. An ideal wave-corpuscle is an exact solution to the Euler-Lagrange equations describing both free and accelerated motions. It carries explicitly features of a point charge and the de Broglie wave. Our analysis shows that a system of well separated charges moving with nonrelativistic velocities are represented accurately as wave-corpuscles governed by the Newton equations of motion for point charges interacting with the Lorentz forces. In this regime the nonlinearities are "stealthy" and don't show explicitly anywhere, but they provide for the binding forces that keep localized every individual charge. The theory can also be applied to closely interacting charges as in hydrogen atom where it produces discrete energy spectrum.

show abstract

Research on hidden variable theories: A review of recent progresses

Cited by 449 publications

References 456 publications

Understanding quantum measurement from the solution of dynamical models

Understanding quantum measurement from the solution of dynamical models

Test of the no‐signaling principle in the Hensen loophole‐free CHSH experiment

Wave-Corpuscle Mechanics for Electric Charges

Contact Info

Product

Resources

About