A universally valid Heisenberg uncertainty relation

Abstract

A universally valid Heisenberg uncertainty relation is proposed by combining the universally valid error-disturbance uncertainty relation of Ozawa with the relation of Robertson. This form of the uncertainty relation, which is defined with the same mathematical rigor as the relations of Kennard and Robertson, incorporates both of the intrinsic quantum fluctuations and measurement effects.

7 pages

References in corpus (1)

• Experimental demonstration of a universally valid error-disturbance uncertainty relation in spin-measurements

Cited by in corpus (17)

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• Deriving tight error-trade-off relations for approximate joint measurements of incompatible quantum observables
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• Phase-space noncommutative extension of the Robertson-Schroedinger formulation of Ozawa's uncertainty principle
• Improved Error-Tradeoff and Error-Disturbance Relations
• Uncertainty relations for characteristic functions
• Optimal joint measurements of complementary observables by a single trapped ion
• Frieden wave function representations via an EPR-Bohm experiment
• Discrete-event simulation of uncertainty in single-neutron experiments
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• Coherence-variance uncertainty relation and coherence cost for quantum measurement under conservation laws
• Experimental evaluation of the non-classical relation between measurement errors using entangled photon pairs as a probe
• Entanglement-Enhanced Lidars for Simultaneous Range and Velocity Measurements
• Event-based simulation of neutron experiments: interference, entanglement and uncertainty relations
• Heisenberg Uncertainty Relation Revisited
• Incompatible observables in classical physics: A closer look at measurement in Hamiltonian mechanics