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

Holger F. Hofmann
2013 arXiv   pre-print
from more fundamental relations between 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).  ... 
arXiv:1305.0053v1 fatcat:im4pm54q2jc5lc35bp6in3stse

On the role of complex phases in the quantum statistics of weak measurements

Holger F Hofmann
2011 New Journal of Physics  
This action provides a quantitative 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.  ... 
doi:10.1088/1367-2630/13/10/103009 fatcat:6lq6dxpdpvgindlrmsgtqqg2ue

On the fundamental role of dynamics in quantum physics

Holger F. Hofmann
2016 European Physical Journal D : Atomic, Molecular and Optical Physics  
Quantum theory expresses 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.  ... 
doi:10.1140/epjd/e2016-70086-8 fatcat:rfkyivftrbfk5bxaablocraxie

The quantum laws of physics: a new description of dynamics and causality [article]

Holger F. Hofmann
2014 arXiv   pre-print
It is possible to completely explain all aspects 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]  ... 
arXiv:1405.0053v1 fatcat:vausk3d7traphdudo44kwa53zm

Field Extension of Real Values of Physical Observables in Classical Theory can Help Attain Quantum Results

Hai Wang, Asutosh Kumar, Minhyung Cho, Junde Wu
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  ... 
doi:10.1007/s10773-018-3725-3 fatcat:vw7t46tbojeetl2mxr5exvfr2i

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

Holger F. Hofmann
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  ... 
arXiv:1311.0093v1 fatcat:gd7vz6gze5dcbb336toyhbgfgy

Complex joint probabilities as expressions of reversible transformations in quantum mechanics

Holger F Hofmann
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).  ... 
doi:10.1088/1367-2630/14/4/043031 fatcat:w3yq43fpyjavtlvaryqnxa3deq

No "No-Go" [article]

Andrei Khrennikov
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.  ... 
arXiv:quant-ph/0308166v1 fatcat:mrcpjulflfbdxnbchwfkoohpkq

Chaos and quantum-nondemolition measurements

Stefan Weigert
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  ... 
doi:10.1103/physreva.43.6597 pmid:9905011 fatcat:wp7ik7cnxbewpol6kqfzl6psay

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

Gavriel Segre
2004 International Journal of Theoretical Physics  
Charles Bennett's 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.  ... 
doi:10.1023/b:ijtp.0000048622.20990.2e fatcat:2zcoon7nvffuvgef7ac7mugiay

Theory of quantum computation [article]

E. H. Knill, M. A. Nielsen
2000 arXiv   pre-print
Short review article 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  ... 
arXiv:quant-ph/0010057v1 fatcat:dtfszyoygbbydc5dtqljv4bp44

THE SECOND QUANTIZED QUANTUM TURING MACHINE AND KOLMOGOROV COMPLEXITY

CAROLINE ROGERS, VLATKO VEDRAL
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.  ... 
doi:10.1142/s021798490801464x fatcat:3q3sy6p5wjh3fodi3kiddyrfpa

Are chaotic systems dynamically random?

Karl Svozil
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] ).  ... 
doi:10.1016/0375-9601(89)90536-7 fatcat:4rz4nsnpkzbgzdi72cspoh3ur4

The Information Content of Systems in General Physical Theories

Ciarán M. Lee, Matty J. Hoban
2016 Electronic Proceedings in Theoretical Computer Science  
A 472 (2190), 2016], we showed that 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.  ... 
doi:10.4204/eptcs.214.5 fatcat:bmbenh7o2fhklckkzm54s4mfny

The Second Quantized Quantum Turing Machine and Kolmogorov Complexity [article]

Caroline Rogers, Vlatko Vedral
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.  ... 
arXiv:quant-ph/0506266v2 fatcat:dndj7fyopvhepm3hobd3fqar5q
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