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Weak valued statistics as fundamental explanation of quantum physics
[article]

2013
*
arXiv
*
pre-print

from more fundamental relations between

arXiv:1305.0053v1
fatcat:im4pm54q2jc5lc35bp6in3stse
*the**physical*properties*of*a quantum system that can be expressed*in*terms*of**complex*conditional probabilities. ... Here, I explain how*the**complex*valued statistics observed*in*weak*measurements*relate to*the*operator algebra*of**the*conventional Hilbert space formalism and show that*the*algebra*of*operators originates ... , but a statistical*one*(how to explain*the*statistics*of*m-*measurements**in*terms*of**the*statistics obtained*in*unrelated*measurements**of*a and b). ...##
###
On the role of complex phases in the quantum statistics of weak measurements

2011
*
New Journal of Physics
*

This action provides a quantitative

doi:10.1088/1367-2630/13/10/103009
fatcat:6lq6dxpdpvgindlrmsgtqqg2ue
*measure**of*how much quantum correlations can diverge from*the*deterministic relations between*physical*properties expected from*classical**physics*or hidden variable ... Weak*measurements*performed between quantum state preparation and post-selection result*in**complex*values for self-adjoint operators, corresponding to*complex*conditional probabilities for*the*projections ... Acknowledgments Part*of*this work was supported by*the*Grant-*in*-Aid program*of**the*Japanese Society for*the*Promotion*of*Science. ...##
###
On the fundamental role of dynamics in quantum physics

2016
*
European Physical Journal D : Atomic, Molecular and Optical Physics
*

Quantum theory expresses

doi:10.1140/epjd/e2016-70086-8
fatcat:rfkyivftrbfk5bxaablocraxie
*the*observable relations between*physical*properties*in*terms*of*probabilities that depend*on**the*specific context described by*the*"state"*of*a system. ... causality*of*motion that is observed*in**the**physical*world. ... dependence*of*n*on*(a, b) used*in**classical**physics*. ...##
###
The quantum laws of physics: a new description of dynamics and causality
[article]

2014
*
arXiv
*
pre-print

It is possible to completely explain all aspects

arXiv:1405.0053v1
fatcat:vausk3d7traphdudo44kwa53zm
*of*quantum mechanics by expressing*the*relations between*physical*properties*in*terms*of**complex*conditional probabilities (Phys. Rev. ... Beyond that limit,*complex*conditional probabilities are*the*only valid expression*of**the*fundamental laws*of**physics*. ... As I will explain*in**the*following,*the*answer to this question can be found by considering recent experimental results*on*weak*measurement*statistics and*on**measurement*uncertainties [1] [2] [3] [4] ...##
###
Field Extension of Real Values of Physical Observables in Classical Theory can Help Attain Quantum Results

2018
*
International Journal of Theoretical Physics
*

*In*this paper, we show that by allowing observables

*in*

*the*Bell inequality to take

*complex*values, a

*classical*

*physical*theory can actually get

*the*same upper bound

*of*

*the*Bell expression as quantum theory ... Here we consider

*the*question

*of*what will happen if

*physical*observables are allowed to take

*complex*values. ... Furthermore, when this complexvalued

*classical*

*physics*(we call

*complex*-valued

*classical*

*physics*"pseudo-

*classical*"

*physics*) gets

*the*maximum

*in*

*the*Bell inequality,

*the*observables involved can share ...

##
###
Quantum states as complex probabilities: The physics behind direct observations of photon wavefunctions in weak measurements
[article]

2013
*
arXiv
*
pre-print

*The*conventional

*measurement*probabilities derived from squares

*of*

*the*wavefunction then describes

*the*effects

*of*

*measurement*back-action, which originate from a non-

*classical*relation between dynamics ... Weak

*measurements*

*of*photon position can be used to obtain direct experimental evidence

*of*

*the*wavefunction

*of*a photon between generation and ultimate detection. ...

*In*

*the*recent decades, new possibilities

*of*

*measurement*and control have emerged, revealing

*the*full potential

*of*non-

*classical*relations between

*physical*properties that cannot be

*measured*at

*the*same ...

##
###
Complex joint probabilities as expressions of reversible transformations in quantum mechanics

2012
*
New Journal of Physics
*

*In*this paper, it is shown how

*classical*reality emerges as an approximation to

*the*fundamental laws

*of*quantum determinism expressed by

*complex*conditional probabilities. ... Transformations to a new basis set are then expressed

*in*terms

*of*

*complex*conditional probabilities that describe

*the*fundamental relation between precise statements about

*the*three different observables ... Acknowledgments Part

*of*this work was supported by

*the*Grant-

*in*-Aid program

*of*

*the*Japanese Society for

*the*Promotion

*of*Science (JSPS). ...

##
###
No "No-Go"
[article]

2003
*
arXiv
*
pre-print

*In*spite

*of*

*the*very common opinion we show that QM is not complete and that it is possible to create prequantum models providing finer description

*of*

*physical*reality than QM. ... There exists (at least

*in*theoretical models) dispersion free states and

*the*Heisenberg uncertainty principle can be violated. ... Our derivation

*of*interference

*of*probabilities is based only

*on*

*one*postulate: Contextuality

*of*probabilities: Probabilities depend

*on*

*complexes*

*of*

*physical*conditions. ...

##
###
Chaos and quantum-nondemolition measurements

1991
*
Physical Review A. Atomic, Molecular, and Optical Physics
*

*The*problem

*of*chaotic behavior

*in*quantum mechanics is investigated against

*the*background

*of*

*the*theory

*of*quantum-nondemolition (QND)

*measurements*. ...

*The*analysis is based

*on*two relevant features:

*The*outcomes

*of*a sequence

*of*QND

*measurements*are unambiguously predictable, and these

*measurements*actually can be performed

*on*

*one*single system without ... A useful tool

*in*order to

*measure*

*the*irregularity

*of*orbits

*of*

*physical*systems is

*the*concept

*of*algorithmic

*complexity*originating from

*the*information theory. ' It can be applied likewise to time-independent ...

##
###
Physical Complexity of Classical and Quantum Objects and Their Dynamical Evolution From an Information-Theoretic Viewpoint

2004
*
International Journal of Theoretical Physics
*

Charles Bennett's

doi:10.1023/b:ijtp.0000048622.20990.2e
fatcat:2zcoon7nvffuvgef7ac7mugiay
*measure**of**physical**complexity*for*classical*objects, namely logical-depth, is used*in*order to prove that a chaotic*classical*dynamical system is not*physical**complex*. ...*The*natural*measure**of**physical**complexity*for quantum objects, quantum logical-depth, is then introduced*in*order to prove that a chaotic quantum dynamical system is not*physical**complex*too. ... not as a*measure**of**the*amount*of**physical*-*complexity**of*that object. ...##
###
Theory of quantum computation
[article]

2000
*
arXiv
*
pre-print

Short review article

arXiv:quant-ph/0010057v1
fatcat:dtfszyoygbbydc5dtqljv4bp44
*on*quantum computation accepted for Supplement III, Encyclopaedia*of*Mathematics (publication expected Summer 2001). See also http://www.wkap.nl/series.htm/ENM ... Several research groups have developed techniques for proving lower bounds*on*quantum communication*complexity*, mostly variations*of**the*log-rank lower bound also used*in**classical*communication*complexity*...*One*way to do that is to allow transition operators which are*the*composition*of*a*measurement*(satisfying an appropriate locality constraint) followed by unitary operators depending*on**the**measurement*...##
###
THE SECOND QUANTIZED QUANTUM TURING MACHINE AND KOLMOGOROV COMPLEXITY

2008
*
Modern physics letters B
*

*The*Kolmogorov

*complexity*

*of*a

*physical*state is

*the*minimal

*physical*resources required to reproduce that state. ... There are two advantages to our approach -our

*measure*

*of*second quantized Kolmogorov

*complexity*is closer to

*physical*reality and unlike other quantum Kolmogorov

*complexities*it is continuous. ...

*The*authors thank

*the*Engineering and

*Physical*Sciences Research Council for financial support. V.V also thanks

*the*European Union and

*the*British Council

*in*Austria. ...

##
###
Are chaotic systems dynamically random?

1989
*
Physics Letters A
*

*Physical*systems can be characterized by several types

*of*

*complexity*

*measures*which indicate

*the*computational resources employed. ... For certain limits, these chaos classes render identical forms

*of*random

*physical*motion. ...

*In*this sense

*the*"deterministic chaos"

*of*

*classical*

*physics*originates

*in*

*the*assumption

*of*

*the*continuum (see also refs. [4, 3] ). ...

##
###
The Information Content of Systems in General Physical Theories

2016
*
Electronic Proceedings in Theoretical Computer Science
*

A 472 (2190), 2016], we showed that

doi:10.4204/eptcs.214.5
fatcat:bmbenh7o2fhklckkzm54s4mfny
*the*immense power*of**the*information content*of*states*in*general (non-quantum)*physical*theories is not limited to communication*complexity*. ... Instead*of*just contrasting quantum and*classical**physics*, we can place both within a broad landscape*of**physical*theories and ask how non-quantum (and non-*classical*) theories are different from, or more ...*In*this work, we have related our work*in*[15] to*the*study*of*communication*complexity**in*general*physical*theories. ...##
###
The Second Quantized Quantum Turing Machine and Kolmogorov Complexity
[article]

2008
*
arXiv
*
pre-print

*The*Kolmogorov

*complexity*

*of*a

*physical*state is

*the*minimal

*physical*resources required to reproduce that state. ... There are two advantages to our approach - our

*measure*

*of*second quantized Kolmogorov

*complexity*is closer to

*physical*reality and unlike other quantum Kolmogorov

*complexities*it is continuous. ... V.V. also thanks

*the*European Union and

*the*British Council

*in*Austria. ...

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