scholarly journals The uncertainty principle in the presence of quantum memory

2010 ◽  
Vol 6 (9) ◽  
pp. 659-662 ◽  
Author(s):  
Mario Berta ◽  
Matthias Christandl ◽  
Roger Colbeck ◽  
Joseph M. Renes ◽  
Renato Renner
Keyword(s):  
Uncertainty Principle ◽  
Quantum Memory

scholarly journals Zero uncertainty states in the presence of quantum memory

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Huangjun Zhu
Keyword(s):  
Uncertainty Principle ◽  
Quantum States ◽  
Quantum Memory ◽  
System State ◽  
Von Neumann ◽  
Practical Applications ◽  
Classical Information ◽  
Fundamental Limit ◽  
Minimum Uncertainty ◽  
Incompatible Observables

AbstractThe uncertainty principle imposes a fundamental limit on predicting the measurement outcomes of incompatible observables even if complete classical information of the system state is known. The situation is different if one can build a quantum memory entangled with the system. Zero uncertainty states (in contrast with minimum uncertainty states) are peculiar quantum states that can eliminate uncertainties of incompatible von Neumann observables once assisted by suitable measurements on the memory. Here we determine all zero uncertainty states of any given set of nondegenerate observables and determine the minimum entanglement required. It turns out all zero uncertainty states are maximally entangled in a generic case, and vice versa, even if these observables are only weakly incompatible. Our work establishes a simple and precise connection between zero uncertainty and maximum entanglement, which is of interest to foundational studies and practical applications, including quantum certification and verification.

scholarly journals Quantum discord and classical correlation can tighten the uncertainty principle in the presence of quantum memory

2012 ◽  
Vol 86 (4) ◽  
Author(s):  
Arun Kumar Pati ◽  
Mark M. Wilde ◽  
A. R. Usha Devi ◽  
A. K. Rajagopal ◽  
Sudha
Keyword(s):  
Uncertainty Principle ◽  
Quantum Discord ◽  
Quantum Memory ◽  
Classical Correlation

scholarly journals Experimental investigation of the uncertainty principle in the presence of quantum memory and its application to witnessing entanglement

2011 ◽  
Vol 7 (10) ◽  
pp. 757-761 ◽  
Author(s):  
Robert Prevedel ◽  
Deny R. Hamel ◽  
Roger Colbeck ◽  
Kent Fisher ◽  
Kevin J. Resch
Keyword(s):  
Experimental Investigation ◽  
Uncertainty Principle ◽  
Quantum Memory

The Uncertainty Principle Derived by The Finite Transmission Speed of Light and Information

2014 ◽  
Vol 3 (3) ◽  
pp. 257-266 ◽  
Author(s):  
Piero Chiarelli
Keyword(s):  
Uncertainty Principle ◽  
Large Scale ◽  
Uncertainty Relations ◽  
Speed Of Light ◽  
Energy Fluctuation ◽  
Hydrodynamic Analogy ◽  
Non Local ◽  
Minimum Uncertainty ◽  
Quantum Hydrodynamic ◽  
Transmission Speed

This work shows that in the frame of the stochastic generalization of the quantum hydrodynamic analogy (QHA) the uncertainty principle is fully compatible with the postulate of finite transmission speed of light and information. The theory shows that the measurement process performed in the large scale classical limit in presence of background noise, cannot have a duration smaller than the time need to the light to travel the distance up to which the quantum non-local interaction extend itself. The product of the minimum measuring time multiplied by the variance of energy fluctuation due to presence of stochastic noise shows to lead to the minimum uncertainty principle. The paper also shows that the uncertainty relations can be also derived if applied to the indetermination of position and momentum of a particle of mass m in a quantum fluctuating environment.

The inner bound of quantum spacetime

2019 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Wigner Function ◽  
Uncertainty Principle ◽  
Quantum Spacetime

This article addresses the connection of the UNCERTAINTY PRINCIPLE with the WIGNER FUNCTION.

The uncertainty principle between the Hubble parameter and the volume of space.

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Uncertainty Principle ◽  
Hubble Parameter

The uncertainty principle between the Hubble parameter and the volume of space.

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