Upper bound on our knowledge about noncommuting observables for a qubit system

Abstract

A trade-off relation on our knowledge about two noncommuting observables of a qubit system in simultaneous measurement is formulated. The obtained inequality offers a quantitative information-theoretic representation of Bohr's principle of complementarity, and can be interpreted as a trade-off relation on the asymptotic accuracy of the maximum-likelihood estimation of the probability distributions of observables.

4 pages, 1 figure

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Cited by in corpus (9)

• Loss-tolerant measurement-device-independent quantum random number generation
• Experimental measurement-device-independent quantum random number generation
• Duality relations in a two-path interferometer with an asymmetric beam splitter
• The information about the state of a qubit gained by a weakly coupled detector
• Quantum Coherence Witness with Untrusted Measurement Devices
• Simultaneous weak measurement of non-commuting observables
• Approximating incompatible von Neumann measurements simultaneously
• Accuracy matrix in generalized simultaneous measurement of a qubit system
• Quantifying Coherence with Untrusted Devices