Unification theory of classical statistical uncertainty relation and quantum uncertainty relation and its applications

2011 ◽  
Vol 375 (3) ◽  
pp. 271-275
Author(s):  
Changyu Huang ◽  
Yong-Chang Huang
Keyword(s):  
Uncertainty Relation ◽  
Statistical Uncertainty ◽  
Quantum Uncertainty ◽  
Unification Theory

scholarly journals Quantum Uncertainty Relation: The Optimal Uncertainty Relation (Ann. Phys. 10/2019)

2019 ◽  
Vol 531 (10) ◽  
pp. 1970036
Author(s):  
Jun‐Li Li ◽  
Cong‐Feng Qiao
Keyword(s):  
Uncertainty Relation ◽  
Quantum Uncertainty

scholarly journals Quantum uncertainty relation based on the mean deviation

2018 ◽  
Vol 98 (3) ◽  
Author(s):  
Gautam Sharma ◽  
Chiranjib Mukhopadhyay ◽  
Sk Sazim ◽  
Arun Kumar Pati
Keyword(s):  
Uncertainty Relation ◽  
Mean Deviation ◽  
Quantum Uncertainty ◽  
The Mean

scholarly journals THE SL(2,R) WZWN STRING MODEL AS A DEFORMED OSCILLATOR AND ITS CLASSICAL-QUANTUM STRING REGIMES

2007 ◽  
Vol 22 (16) ◽  
pp. 1133-1142 ◽  
Author(s):  
M. RAMÓN MEDRANO ◽  
N. G. SÁNCHEZ
Keyword(s):  
Quantum Mechanics ◽  
Mass Spectrum ◽  
Uncertainty Relation ◽  
String Model ◽  
Quantum Uncertainty ◽  
Deformed Oscillator ◽  
Classical Quantum ◽  
Usual Quantum ◽  
Quantum Duality ◽  
Semiclassical Regime

We study the SL (2,R) WZWN string model describing bosonic string theory in AdS3 spacetime as a deformed oscillator together with its mass spectrum and the string modified SL (2,R) uncertainty relation. The SL (2,R) string oscillator is far more quantum (with higher quantum uncertainty) and more excited than the non-deformed one. This is accompassed by the highly excited string mass spectrum which is drastically changed with respect to the low excited one. The highly excited quantum string regime and the low excited semiclassical regime of the SL (2,R) string model are described and shown to be the quantum-classical dual of each other in the precise sense of the usual classical-quantum duality. This classical-quantum realization is not assumed nor conjectured. The quantum regime (high curvature) displays a modified Heisenberg's uncertainty relation, while the classical (low curvature) regime has the usual quantum mechanics uncertainty principle.

scholarly journals Uncertainty relations: An operational approach to the error-disturbance tradeoff

Quantum ◽  
2017 ◽  
Vol 1 ◽  
pp. 20 ◽  
Author(s):  
Joseph M. Renes ◽  
Volkher B. Scholz ◽  
Stefan Huber
Keyword(s):  
Quantum Theory ◽  
Uncertainty Relation ◽  
Uncertainty Relations ◽  
Actual Measurement ◽  
Quantum Uncertainty ◽  
Joint Measurability ◽  
Finite Dimensional ◽  
Wave Particle Duality ◽  
Heisenberg Type ◽  
Conceptual Difficulties

The notions of error and disturbance appearing in quantum uncertainty relations are often quantified by the discrepancy of a physical quantity from its ideal value. However, these real and ideal values are not the outcomes of simultaneous measurements, and comparing the values of unmeasured observables is not necessarily meaningful according to quantum theory. To overcome these conceptual difficulties, we take a different approach and define error and disturbance in an operational manner. In particular, we formulate both in terms of the probability that one can successfully distinguish the actual measurement device from the relevant hypothetical ideal by any experimental test whatsoever. This definition itself does not rely on the formalism of quantum theory, avoiding many of the conceptual difficulties of usual definitions. We then derive new Heisenberg-type uncertainty relations for both joint measurability and the error-disturbance tradeoff for arbitrary observables of finite-dimensional systems, as well as for the case of position and momentum. Our relations may be directly applied in information processing settings, for example to infer that devices which can faithfully transmit information regarding one observable do not leak any information about conjugate observables to the environment. We also show that Englert's wave-particle duality relation [PRL 77, 2154 (1996)] can be viewed as an error-disturbance uncertainty relation.

scholarly journals Quantum uncertainty relation using coherence

2017 ◽  
Vol 96 (3) ◽  
Author(s):  
Xiao Yuan ◽  
Ge Bai ◽  
Tianyi Peng ◽  
Xiongfeng Ma
Keyword(s):  
Uncertainty Relation ◽  
Quantum Uncertainty

scholarly journals Reformulating the Quantum Uncertainty Relation

2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Jun-Li Li ◽  
Cong-Feng Qiao
Keyword(s):  
Uncertainty Relation ◽  
Quantum Uncertainty

scholarly journals A Tight High-Order Entropic Quantum Uncertainty Relation with Applications

2007 ◽  
pp. 360-378 ◽  
Author(s):  
Ivan B. Damgård ◽  
Serge Fehr ◽  
Renato Renner ◽  
Louis Salvail ◽  
Christian Schaffner
Keyword(s):  
Uncertainty Relation ◽  
High Order ◽  
Quantum Uncertainty

‘Wheels have been set in motion’: Geocentrism and Relativity in Tom Stoppard’s Rosencrantz and Guildenstern Are Dead

2018 ◽  
Author(s):  
Liliane Campos
Keyword(s):  
20Th Century ◽  
Film Adaptation ◽  
Frames Of Reference ◽  
Quantum Uncertainty ◽  
Galilean Relativity ◽  
Modern Physics ◽  
20Th Century Physics ◽  
Time Specific ◽  
Do So

By decentring our reading of Hamlet, Stoppard’s tragicomedy questions the legitimacy of centres and of stable frames of reference. So Liliane Campos examines how Stoppard plays with the physical and cosmological models he finds in Hamlet, particularly those of the wheel and the compass, and gives a new scientific depth to the fear that time is ‘out of joint’. In both his play and his own film adaptation, Stoppard’s rewriting gives a 20th-century twist to these metaphors, through references to relativity, indeterminacy, and the role of the observer. When they refer to the uncontrollable wheels of their fate, his characters no longer describe the destruction of order, but uncertainty about which order is at work, whether heliocentric or geocentric, random or tragic. When they express their loss of bearings, they do so through the thought experiments of modern physics, from Galilean relativity to quantum uncertainty, drawing our attention to shifting frames of reference. Much like Schrödinger’s cat, Stoppard’s Rosencrantz and Guildenstern are both dead and alive. As we observe their predicament, Campos argues, we are placed in the paradoxical position of the observer in 20th-century physics, and constantly reminded that our time-specific relation to the canon inevitably determines our interpretation.

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