The Generalized Uncertainty Principle
Sign Up to like & getrecommendations! Published in 2020 at "Annalen der Physik"
DOI: 10.1002/andp.202000335
Abstract: The uncertainty principle lies at the heart of quantum physics, and is widely thought of as a fundamental limit of the measurement precision of incompatible observables. Here it is shown that the traditional uncertainty relation… read more here.
Keywords: order; uncertainty principle; uncertainty relation; uncertainty ... See more keywords
Variance-based uncertainty relation for incompatible observers
Sign Up to like & getrecommendations! Published in 2017 at "Quantum Information Processing"
DOI: 10.1007/s11128-017-1619-6
Abstract: Based on mixedness definition as $$M=1-\hbox {tr}\left( {\rho ^{2}}\right) $$M=1-trρ2, we obtain a new variance-based uncertainty equality along with an inequality for Hermitian operators of a single-qubit system. The obtained uncertainty equality can be used… read more here.
Keywords: uncertainty; relation incompatible; based uncertainty; variance based ... See more keywords
Exploring entropic uncertainty relation in the Heisenberg XX model with inhomogeneous magnetic field
Sign Up to like & getrecommendations! Published in 2017 at "Quantum Information Processing"
DOI: 10.1007/s11128-017-1657-0
Abstract: In this work, we investigate the quantum-memory-assisted entropic uncertainty relation in a two-qubit Heisenberg XX model with inhomogeneous magnetic field. It has been found that larger coupling strength J between the two spin-chain qubits can… read more here.
Keywords: entropic uncertainty; uncertainty; heisenberg model; magnetic field ... See more keywords
A Stronger Multi-observable Uncertainty Relation
Sign Up to like & getrecommendations! Published in 2017 at "Scientific Reports"
DOI: 10.1038/srep44764
Abstract: Uncertainty relation lies at the heart of quantum mechanics, characterizing the incompatibility of non-commuting observables in the preparation of quantum states. An important question is how to improve the lower bound of uncertainty relation. Here… read more here.
Keywords: observable uncertainty; uncertainty; multi observable; stronger multi ... See more keywords
Inequalities for positive module operators on von Neumann algebras
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5009615
Abstract: We establish the Cauchy-Schwarz and Golden-Thompson inequalities for module operators, a generalization of a (noncommutative) conditional expectation, on a von Neumann algebra. We apply these inequalities to the Bennett inequality and an uncertainty relation, a… read more here.
Keywords: von neumann; uncertainty relation; module operators;
Dynamics investigation of the quantum-control-assisted multipartite uncertainty relation in heisenberg model with dzyaloshinski-moriya interaction
Sign Up to like & getrecommendations! Published in 2023 at "Physica Scripta"
DOI: 10.1088/1402-4896/accee4
Abstract: Recently, Zheng constructs a quantum-control-assisted multipartite variance-based uncertainty relation, which successfully extends the conditional uncertainty relation to the multipartite case [Annalen der physik, 533, 2100014 (2021)]. We here investigate the dynamics of the new uncertainty… read more here.
Keywords: uncertainty relation; uncertainty; control assisted; assisted multipartite ... See more keywords
A generalization of the thermodynamic uncertainty relation to periodically driven systems
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aaeec4
Abstract: The thermodynamic uncertainty relation expresses a universal trade-off between precision and entropy production, which applies in its original formulation to current observables in steady-state systems. We generalize this relation to periodically time-dependent systems and, relatedly,… read more here.
Keywords: time; relation; thermodynamic uncertainty; uncertainty relation ... See more keywords
A thermodynamic uncertainty relation for a system with memory
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/abbc7d
Abstract: We introduce an example of thermodynamic uncertainty relation (TUR) for systems modeled by a one-dimensional generalised Langevin dynamics with memory, determining the motion of a micro-bead driven in a complex fluid. Contrary to TURs typically… read more here.
Keywords: system; thermodynamic uncertainty; uncertainty relation; memory ... See more keywords
Quality of the thermodynamic uncertainty relation for fast and slow driving
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ac231f
Abstract: The thermodynamic uncertainty relation originally proven for systems driven into a non-equilibrium steady state (NESS) allows one to infer the total entropy production rate by observing any current in the system. This kind of inference… read more here.
Keywords: uncertainty; entropy production; quality thermodynamic; thermodynamic uncertainty ... See more keywords
Operational foundations for complementarity and uncertainty relations
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DOI: 10.1103/physreva.101.052104
Abstract: The so-called preparation uncertainty that occurs in the quantum world can be understood well in purely operational terms, and its existence in any given theory, perhaps differently than in quantum mechanics, can be verified by… read more here.
Keywords: hand side; uncertainty relation; uncertainty; complementarity ... See more keywords
Uncertainty relation for non-Hermitian systems
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DOI: 10.1103/physreva.107.042201
Abstract: We construct uncertainty relation for arbitrary finite dimensional PT invariant non-Hermitian quantum systems within a special inner product framework. This construction is led by good observables which are a more general class of operators. We… read more here.
Keywords: non hermitian; relation non; hermitian systems; uncertainty relation ... See more keywords