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Minimum uncertainty and entanglement

Dass, Hari ND and Qureshi, Tabish and Sheel, Aditi (2013) Minimum uncertainty and entanglement. In: International Journal of Modern Physics B, 27 (16). 1350068_1-1350068_16.

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Official URL: http://dx.doi.org/10.1142/S0217979213500689

Abstract

We address the question, does a system A being entangled with another system B, put any constraints on the Heisenberg uncertainty relation (or the Schrodinger-Robertson inequality)? We find that the equality of the uncertainty relation cannot be reached for any two noncommuting observables, for finite dimensional Hilbert spaces if the Schmidt rank of the entangled state is maximal. One consequence is that the lower bound of the uncertainty relation can never be attained for any two observables for qubits, if the state is entangled. For infinite-dimensional Hilbert space too, we show that there is a class of physically interesting entangled states for which no two noncommuting observables can attain the minimum uncertainty equality.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to World Scientific Publishing Company.
Keywords: Entanglement; Uncertainty Relation; Mixed States
Department/Centre: Others
Date Deposited: 05 Aug 2013 11:51
Last Modified: 05 Aug 2013 11:51
URI: http://eprints.iisc.ernet.in/id/eprint/46903

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