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Type of quantum mechanics theory
In physics, a hidden-variable theory is a deterministic model which seeks to explain the probabilistic nature of quantum mechanics by introducing additional
Hidden-variable_theory
Topics referred to by the same term
Look up hidden variable in Wiktionary, the free dictionary. Hidden variable may refer to: Confounding, in statistics, an extraneous variable in a statistical
Hidden_variable
Interpretation of quantum mechanics
In the interpretation of quantum mechanics, a local hidden-variable theory is a hidden-variable theory that satisfies the principle of locality. These
Local_hidden-variable_theory
Statistical Markov model
of the hidden variable x(t) at time t, given the values of the hidden variable x at all times, depends only on the value of the hidden variable x(t − 1);
Hidden_Markov_model
Physics phenomenon
produced from quantum entanglement cannot be explained in terms of local hidden variables. Entanglement can produce statistical correlations between events in
Quantum_entanglement
Theorem in physics
which determine that quantum mechanics is incompatible with local hidden-variable theories, given some basic assumptions about the nature of measurement
Bell's_theorem
Interpretation of quantum mechanics
processes] could be called 'hidden' variables." Bohm and Hiley later stated that they found Bohm's choice of the term "hidden variables" to be too restrictive
De_Broglie–Bohm_theory
Interpretation of quantum mechanics
answer to that question of "hidden variables" was "yes". By contrast, Max Jammer writes "Einstein never proposed a hidden variable theory." Einstein explored
Copenhagen_interpretation
Experiments to test Bell's theorem in quantum mechanics
realism, which requires the presence of some additional local variables (called "hidden" because they are not a feature of quantum theory) to explain
Bell_test
Historical critique of quantum mechanics
that it should be possible to construct a theory containing these hidden variables. Resolutions of the paradox have important implications for the interpretation
Einstein–Podolsky–Rosen paradox
Einstein–Podolsky–Rosen_paradox
Testable implication of local hidden-variable theories
of entanglement in quantum mechanics cannot be reproduced by local hidden-variable theories. Experimental verification of the inequality being violated
CHSH_inequality
1932 book by John von Neumann
measurements have predictable results. But if hidden variables existed, then knowing the values of the hidden variables would make the results of all measurements
Mathematical Foundations of Quantum Mechanics
Mathematical_Foundations_of_Quantum_Mechanics
Concept in statistics
In statistics, latent variables (from Latin: present participle of lateo 'lie hidden'[citation needed]) are variables that can only be inferred indirectly
Latent and observable variables
Latent_and_observable_variables
Theorem in quantum mechanics
significant for the role it played in showing that wide classes of hidden-variable theories are inconsistent with quantum physics. Multiple variations
Gleason's_theorem
Deviations from local realism
multipartite quantum system do not allow an interpretation with local hidden variables. Quantum nonlocality has been experimentally verified under a variety
Quantum_nonlocality
Physical principle that only immediate surroundings can influence an object
modern terminology. They reasoned that without additions, now called hidden variables, quantum mechanics would predict illogical relationships between the
Principle_of_locality
Northern Irish physicist (1928–1990)
Bell's theorem, an important theorem in quantum physics regarding hidden-variable theories. In 2022, the Nobel Prize in Physics was awarded to Alain
John_Stewart_Bell
Interpretation of quantum mechanics
other decoherence interpretations, the Copenhagen interpretation, and hidden variable theories such as Bohmian mechanics. In the many-worlds interpretation
Many-worlds_interpretation
Ontological concepts for quantum theory
Before developing his implicit order approach, Bohm had proposed a hidden variable theory of quantum physics (see Bohm interpretation). According to Bohm
Implicate_and_explicate_order
Description of physical properties at the atomic and subatomic scale
significantly Bell's theorem, have demonstrated that broad classes of such hidden-variable theories are in fact incompatible with quantum physics. According to
Quantum_mechanics
Topics referred to by the same term
Look up Variable, variable, or variables in Wiktionary, the free dictionary. Wikiversity has learning resources about Variable Variable may refer to:
Variable
2D fighting video game
mobile title was released in 2017 for Android and iOS, developed by Hidden Variable Studios. Development of Skullgirls 2nd Encore continues in the form
Skullgirls
German mathematician (1901–1984)
quantum mechanics. This work led to her critique of Von Neumann's no hidden variables proof. Her criticism was long ignored; it was discovered in 1974 by
Grete_Hermann
American-Brazilian-British scientist (1917–1992)
"interpretation in terms of hidden variables" to be too restrictive, especially since their variables, position and momentum, "are not actually hidden". Bohm's work
David_Bohm
Theorem constraining types of hidden-variable theories
in 1967. It places certain constraints on the permissible types of hidden-variable theories, which try to explain the predictions of quantum mechanics
Kochen–Specker_theorem
Process by which a quantum system takes on a definitive state
group includes hidden-variable theories like de Broglie–Bohm theory; here random outcomes only result from unknown values of hidden variables. Results from
Wave_function_collapse
Interaction of a quantum system with a classical observer
measurement results cannot be explained away as due to ignorance about local hidden variables within quantum systems. Measuring a quantum system generally changes
Measurement in quantum mechanics
Measurement_in_quantum_mechanics
Truths and principles of the study of matter, space, time and energy
which determine that quantum mechanics is incompatible with local hidden-variable theories given some basic assumptions about the nature of measurement
Philosophy_of_physics
Statement that is taken to be true
the Hidden variable case. The experiment was conducted first by Alain Aspect in the early 1980s, and the result excluded the simple hidden variable approach
Axiom
Study of speech signals and the processing methods of these signals
of the hidden variable x(t) at time t, given the values of the hidden variable x at all times, depends only on the value of the hidden variable x(t − 1)
Speech_processing
Quantum states of two qubits
pair given above – namely this "agreement", called more formally a hidden variable. In his famous paper of 1964, John S. Bell showed by simple probability
Bell_state
Calculation rule in quantum mechanics
significant for the role it played in showing that wide classes of hidden-variable theories are inconsistent with quantum physics. Several other researchers
Born_rule
Theorem pertaining to the ontology of quantum mechanics
the predictions of quantum mechanics with local hidden variable theories and noncontextual hidden variable theories. Similarly, the PBR theorem could be
Pusey–Barrett–Rudolph_theorem
"Highly entangled" quantum state of 3 or more qubits
experiments that directly contradict predictions by every classical local hidden-variable theory. The state has applications in quantum computing. The four-particle
Greenberger–Horne–Zeilinger state
Greenberger–Horne–Zeilinger_state
Quantum mechanics experiment
that it should be possible to construct a theory containing these hidden variables. Resolutions of the paradox have important implications for the interpretation
Aspect's_experiment
Thought experiment in quantum mechanics
demonstrate how quantum mechanics cannot be explained using a local hidden variable theory. In this way Mermin's device is a pedagogical tool to introduce
Mermin's_device
Idea that the universe is fundamentally computational or informational
Deterministic classical variants also fall within the class of local hidden-variable theories constrained by Bell's theorem and the experiments that test
Digital_physics
Class of theories in quantum mechanics
on them, the assumptions of the theorem are no longer fulfilled. A hidden-variable theory which is superdeterministic can thus fulfill Bell's notion of
Superdeterminism
American physicist (1944–2012)
Bell's inequality, which distinguishes orthodox quantum mechanics from hidden variable theories. Following the proposal of Clauser, Horne, Shimony, and Holt
Stuart_Freedman
Property of states in quantum mechanics
as the scenario having a local hidden state model which is, in some sense, a generalisation of the local hidden variable model for Bell nonlocality and
Quantum_steering
Context dependence in quantum measurements
revealing pre-existing values. Any attempt to do so in a realistic hidden-variable theory leads to values that are dependent upon the choice of the other
Quantum_contextuality
Concept in physics
nevertheless affect the outcome of experiments. In the words of Bell, "If [a hidden-variable theory] is local it will not agree with quantum mechanics, and if it
Action_at_a_distance
Area of physical and philosophical debate
uncertainty principle constraint. The theory is considered to be a hidden-variable theory, and by embracing non-locality it reproduces the quantum-mechanical
Interpretations of quantum mechanics
Interpretations_of_quantum_mechanics
Series of public disputes between physicists Niels Bohr and Albert Einstein
local hidden variable theories, Bohm's theory was not ruled out. A 2007 experiment ruled out a large class of non-Bohmian non-local hidden variable theories
Bohr–Einstein_debates
Fact that observing a situation changes it
self-adjoint operator that represents the possible results of a random variable. Observer (special relativity) Dirac, P.A.M. (1967). The Principles of
Observer_effect_(physics)
Interpretation of quantum mechanics
structure we could arrive at a universal description (the troubled hidden variables approach). Yet another option is to give a preferred status to a particular
Relational_quantum_mechanics
Computer programming, a variable only usable in a portion of a program (the scope)
with private variables, functions, constants and types hidden within them, either by nested blocks or nested functions. Local variables are fundamental
Local_variable
Non-mathematical introduction
the results of these experiments are incompatible with any local hidden variable theory. The idea of quantum field theory began in the late 1920s with
Introduction to quantum mechanics
Introduction_to_quantum_mechanics
2011 video game
Bag It! is a puzzle game developed by American studio Hidden Variable Studios and released on October 15, 2011 for iOS and Android. The player is tasked
Bag_It!
Solvability theorem for finite systems of linear inequalities
of necessary and sufficient conditions for the existence of a local hidden-variable theory, given data from any specific set of measurements. Generalizations
Farkas'_lemma
Algorithm in mathematics
the i-th hidden variable given the (i − 1)-th hidden variable is independent of previous hidden variables, and the current observation variables depend
Baum–Welch_algorithm
Apparent lack of definite state before measurement of quantum systems
by experiment: because Bell's inequalities are violated, any such hidden variable(s) cannot be local (see Bell test experiments). The answer to 2) depends
Quantum_indeterminacy
from John Archibald Wheeler about quantum information. "Bohm-like" (hidden variable) theories as a whole are a "minority view" as compared to Copenhagen-type
Minority interpretations of quantum mechanics
Minority_interpretations_of_quantum_mechanics
Hungarian and American mathematician and physicist (1903–1957)
out hidden variable theories. The validity of Bub's argument is, in turn, disputed. Gleason's theorem of 1957 provided an argument against hidden variables
John_von_Neumann
Belief that events are determined by prior ones
Specker, which argues that hidden variable theories cannot be "sensible", meaning that the values of the hidden variables inherently depend on the devices
Determinism
Indian philosopher, scientist and environmentalist
titled "Hidden Variables and Locality in Quantum Theory" in which she discussed the mathematical and philosophical implications of hidden variable theories
Vandana_Shiva
Aspect of quantum measurement
\lambda )B(b,\lambda )} where a and b are detector settings and λ is the hidden variable, drawn from a distribution ρ(λ). The quantum correlation is the key
Quantum_correlation
Quantum physics theorem on causality
and Landsman regarding hidden-variable theories: "There has been a similar tension between the idea that the hidden variables (in the pertinent causal
Free_will_theorem
Epistemic model
The Spekkens toy model is a conceptually simple toy hidden-variable theory introduced by Robert Spekkens in 2004, to argue in favour of the epistemic
Spekkens_toy_model
Quantum search algorithm
not contained in BQP. It has been shown that a class of non-local hidden variable quantum computers could implement a search of an N {\displaystyle N}
Grover's_algorithm
American physicist
to note how the three-particle GHZ state demonstrates that no local hidden-variable theory can explain quantum correlations, and together with Asher Peres
N._David_Mermin
Theoretical upper limit to non-local correlations in quantum mechanics
violates Bell inequalities (i.e., it cannot be described by a local hidden-variable theory), a natural question to ask is how large can the violation be
Tsirelson's_bound
Theory of logic to account for observations from quantum theory
sprung up, either hoping that quantum logic would provide a viable hidden-variable theory, or obviate the need for one. Their work proved fruitless, and
Quantum_logic
Phenomenon resulting from the superposition of two waves
collapse Consistent histories Copenhagen de Broglie–Bohm Ensemble Hidden-variable Many-worlds Objective-collapse QBism Quantum logic Relational Superdeterminism
Wave_interference
Representation of a quantum mechanical system
deterministically. John Stewart Bell and Simon Kochen and Ernst Specker gave hidden-variable models in which every outcome is fixed by the state together with an
Bloch_sphere
Investigations by Albert Einstein
Stewart Bell proved his Bell's theorem that would allow to test local hidden-variable theory. Conclusive experimental evidence was obtained in 1982 with
Einstein's unsuccessful investigations
Einstein's_unsuccessful_investigations
Concept in quantum mechanics
showed that the results of experiments intended to test the idea of hidden variables would be predicted to fall within certain limits based on all three
Counterfactual_definiteness
Philosophical concept
John S. Bell was able to define a theoretical test for these local hidden variable theories, which was reformulated as a workable experimental test through
Indeterminism
Austrian philosopher of science (1924–1994)
became an outspoken defender of Bohm's interpretation and argued that hidden variable approaches to quantum mechanics should be pursued to increase the testability
Paul_Feyerabend
Quantum mechanics principle
collapse Consistent histories Copenhagen de Broglie–Bohm Ensemble Hidden-variable Many-worlds Objective-collapse QBism Quantum logic Relational Superdeterminism
Pauli_exclusion_principle
Swiss mathematician (1920–2011)
Kochen–Specker theorem in quantum mechanics, showing that certain types of hidden-variable theories are impossible. He also proved the ordinal partition relation
Ernst_Specker
Force resulting from the quantisation of a field
collapse Consistent histories Copenhagen de Broglie–Bohm Ensemble Hidden-variable Many-worlds Objective-collapse QBism Quantum logic Relational Superdeterminism
Casimir_effect
Experiment verifying the wave-particle duality of matter
collapse Consistent histories Copenhagen de Broglie–Bohm Ensemble Hidden-variable Many-worlds Objective-collapse QBism Quantum logic Relational Superdeterminism
Davisson–Germer_experiment
Indian theoretical physicist (1894–1974)
collapse Consistent histories Copenhagen de Broglie–Bohm Ensemble Hidden-variable Many-worlds Objective-collapse QBism Quantum logic Relational Superdeterminism
Satyendra_Nath_Bose
Principle of quantum mechanics
where |n⟩ are the energy eigenstates of the Hamiltonian. For continuous variables like position eigenstates, |x⟩: |α⟩=∫dx′|x′⟩⟨x′|α⟩, where ϕα(x)=⟨x|α⟩
Quantum_superposition
Type of artificial neural network
produces a distribution over hidden variables, and a top-down generative network that generates values of the hidden variables and the data itself. Helmholtz
Helmholtz_machine
American writer (born 1970)
performed by One Ring Zero, and "The Gibbons Girl", by Chris Ewen's The Hidden Variable. In 2017, Handler wrote the play Imaginary Comforts, and The Story
Daniel_Handler
Facts provided or learned about something or someone
of Bell's theorem, determinists reconciled with this behavior using hidden variable theories, which argued that the information necessary to predict the
Information
Of a function, an additional effect besides returning a value
operation. Example side effects include modifying a non-local variable, a static local variable or a mutable argument passed by reference; performing I/O;
Side effect (computer science)
Side_effect_(computer_science)
American mathematical physicist (1935–2026)
Bell's theorem in which the hidden variables are a priori assumed to not influence detector settings, denying hidden variable causality from the beginning
Carl_H._Brans
foundations, the KCBS pentagram is an example disproving noncontextual hidden variable models. It was discovered by Alexander Klyachko, M. Ali Can, Sinem
KCBS_pentagram
High-quality reproduction of sound
experiment whereby test subjects listened to a live orchestra through a hidden variable acoustic filter. The results proved that listeners preferred high-fidelity
High_fidelity
Formula for spectral line wavelengths in alkali metals
of the screening of inner electrons for outer-electron transitions is variable and cannot be compensated for in the simple manner above. The correction
Rydberg_formula
German-born theoretical physicist (1879–1955)
entangled pair, then the assumption that the outcomes depend upon hidden variables within each half implies a mathematical constraint on how the outcomes
Albert_Einstein
Dutch physicist (1913–1991)
physicist and a professor at Purdue University. He was a proponent of the hidden variable interpretation of quantum mechanics. Belinfante was born in the Hague
Frederik_Belinfante
Quantum mechanical state change
ISSN 0031-9007. Clauser, John F. (1969). "Proposed Experiment to Test Local Hidden-Variable Theories". Physical Review Letters. 23 (15): 880–884. Bibcode:1969PhRvL
Spontaneous_emission
1993 physics textbook by Asher Peres
is incompatible with local hidden-variable theories. (Within its substantial discussion of the failure of hidden variable theories, the book includes
Quantum Theory: Concepts and Methods
Quantum_Theory:_Concepts_and_Methods
Kavli Institute of Nanoscience reported that the failure of the local hidden-variable hypothesis is supported at the 96% confidence level based on a "loophole-free
List of unsolved problems in physics
List_of_unsolved_problems_in_physics
Mathematical entity to describe the probability of each possible measurement on a system
mechanics. A classical dynamical state consists of a set of dynamical variables with well-defined real values at each instant of time. For example, the
Quantum_state
The hidden transformation reformulates a constraint satisfaction problem in such a way all constraints have at most two variables. The new problem is
Hidden_transformation
Physicist and philosopher of science
Hermann) had misconstrued John von Neumann's no hidden variables proof of the impossibility of hidden variables in quantum mechanics. The validity of Bub's
Jeffrey_Bub
Topics referred to by the same term
(disambiguation) The Hidden Reality (book) 2011 physics book by Brian Greene Hidden sector (physics), the hidden part of the universe Hidden-variable theory (physics)
Hidden_universe
Set of mathematical concepts in quantum gravity
collapse Consistent histories Copenhagen de Broglie–Bohm Ensemble Hidden-variable Many-worlds Objective-collapse QBism Quantum logic Relational Superdeterminism
Quantum_geometry
Quantum mechanics thought experiment
probabilistic function rather than a fixed reality. This confirms that a hidden-variable quantum theory, to be consistent with the experiments, must be non-local
Hardy's_paradox
Description of a quantum-mechanical system
appreciated in a single dimension. In canonical quantization, the classical variables x {\displaystyle x} and p {\displaystyle p} are promoted to self-adjoint
Schrödinger_equation
Mathematical structures that allow quantum mechanics to be explained
incomplete, which motivated research into so-called hidden-variable theories. The issue of hidden variables has become in part an experimental issue with the
Mathematical formulation of quantum mechanics
Mathematical_formulation_of_quantum_mechanics
Mathematical formalism describing knowledge of the world as patterns
commonplace. Formulate prior distributions for hidden variables and models for the observed variables that form the vertices of a Gibbs-like graph. Study
Pattern_theory
Science concerned with physical bodies subjected to forces or displacements
collapse Consistent histories Copenhagen de Broglie–Bohm Ensemble Hidden-variable Many-worlds Objective-collapse QBism Quantum logic Relational Superdeterminism
Mechanics
Chicago recording studio
Artist 2004 Neurobotic Hidden Variable 2001 The Dancing Wu Li Masters EP Hidden Variable 2002 Polarities 1 Of 2: Positive Hidden Variable 2004 Lunar Gabriel
Studio_11
Similar behavior of quantum systems to droplets bouncing on a fluid
deterministic theory and is entirely nonlocal. It is an example of a hidden variable theory, and all non-relativistic quantum mechanics can be accounted
Hydrodynamic_quantum_analogs
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