uncertainty relations
Additivity of entropic uncertainty relations
... In Sec. 4 we presented an extension to the known connections between the logarithm of (p, q)-norms and linear uncertainty relations in terms of the shannon entropy. However, the technique used seems to ...
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Geometry of Uncertainty Relations for Linear Combinations of Position and Momentum
... entropic uncertainty rela- tion conjectured by Hirschman [13] in 1957 (but proved only two decades later [14, ...variance-based uncertainty relations, we again expect Gaus- sian states to play an ...
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Non hermitian extensions of Heisenberg type and Schrödinger type uncertainty relations
... the uncertainty relation was given by Luo and Zhang [] for the first ...the uncertainty relation was given by Kosaki [] and Yanagi et ...the uncertainty relation was given by Yanagi [] and was ...
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Discrete Entropic Uncertainty Relations Associated with FRFT
... generalized uncertainty relations associated with FRFT have been carefully explored in some papers such as [3,4,16], which effectively enrich the ensemble of ...generalized uncertainty rela- tions ...
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Support Limited Generalized Uncertainty Relations on Fractional Fourier Transform
... fields [4]-[6]. Therefore, there has a great need to discuss the uncertainty relations in FRFT domains. As the ro- tation of the traditional FT [27], FRFT [5] [6] [28]-[30] has some special properties with ...
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ON UNCERTAINTY RELATIONS AND INTERFERENCE IN QUANTUM AND CLASSICAL MECHANICS
... that uncertainty relations are purely prop- erties of functions and their Fourier transforms and therefore these relations are not specific to quantum ...
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Generalized Discrete Entropic Uncertainty Relations on Linear Canonical Transform
... entropic uncertainty relation and discrete Rényi en- tropic uncertainty relation were ...the uncertainty relations touch their lowest ...tainty relations enrich the ensemble of ...
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Hermitian versus non-Hermitian representations for minimal length uncertainty relations
... Heisenberg’s uncertainty relations for deformed canonical variables have attracted a considerable amount of attention [1, 2, 3, 4, 5, 6, 7, 8] since they lead to the interesting feature of minimal lengths ...
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Uncertainty relations: An operational approach to the error-disturbance tradeoff
... for uncertainty relations that are state- ments about the properties of measurement devices, not of fixed experimental setups or of physical quantities ...
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Solvable Models on Noncommutative Spaces with Minimal Length Uncertainty Relations
... generalised uncertainty relations, which overall give rise to minimal areas and minimal volumes in phase space and provided an understanding of the Planck scale physics in the context of quantum ...
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Mathematical Uncertainty Relations and their Generalization for Multiple Incompatible Observables
... two uncertainty relations (1) and (2) in many cases. All uncertainty relations mentioned above are binary, that means only two observables are involved in such ...generalized ...
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Generalized Uncertainty Relations, Curved Phase Spaces and Quantum Gravity
... modified uncertainty relations (11), (12c), (12d) is that there is a minimum value for the position uncertainty ∆ x ...Generalized uncertainty relations in spacetime were derived from ...
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Time-dependent q-deformed coherent states for generalized uncertainty relations
... A : We investigate properties of generalized time-dependent q-deformed coher- ent states for a noncommutative harmonic oscillator. The states are shown to satisfy a generalized version of Heisenberg’s uncertainty ...
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Sharp uncertainty relations for number and angle
... study uncertainty relations for pairs of conjugate variables like number and angle, of which one takes integer values and the other takes values on the unit ...preparation uncertainty coincide ...
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Communicating the Heisenberg uncertainty relations: Niels Bohr, Complementarity and the Einstein-Rupp experiments
... place. Heisenberg came up with an analogy with changing film images: in between the projection of one image and another, one sees a hazy blur, and one is unsure which picture is intended. Einstein liked this answer even ...
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Improved entropic uncertainty relations and information exclusion relations
... for uncertainty relations, we must consider the subspace with the least ...clusion relations it is the overall complementarity, ...state-dependent uncertainty relation of Theorem ...of ...
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Measurement uncertainty relations: characterising optimal error bounds for qubits : Topical Review
... The task of jointly approximating two incompatible observables A and B with a pair of compatible observables C and D , respectively, (see. Fig. 1) requires one to choose an appropriate measure of error, δ( A , C ), to ...
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PT-symmetric non-commutative spaces with minimal volume uncertainty relations
... exist more solutions with different kinds of properties. We constructed an explicit repre- sentation for the algebra obtained in the nontrivial limit q → 1 in terms of the generators of a flat noncommutative space. With ...
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Quantum and classical entropic uncertainty relations
... the uncertainty that arises from this classical ignorance and the “genuinely quantum” ...Heisenberg-Robertson-type uncertainty relations in ...the uncertainty can be done, and a bound on the ...
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Squeezed coherent states for noncommutative spaces with minimal length uncertainty relations
... associated uncertainty relations implying minimal lengths. The uncertainty relations for the constructed states are shown to be saturated in a Hermitian as well as a non-Hermitian setting for ...
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