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Uncertainty Trade-Off and Disturbance Trade-Off for Quantum Measurements


Affiliations
1 Centre for Policy Studies, Mylapore, Chennai 600 004, India
2 Department of Physics, Indian Institute of Technology Madras, Chennai 600 036, India
 

An important non-classical feature of quantum measurements is the celebrated uncertainty trade-off, namely that the uncertainties in the outcomes of measurements performed on distinct yet identically prepared ensembles of systems cannot all be made arbitrarily small. Recently, we have shown that quantum measurements also exhibit another non-classical feature of disturbance trade-off namely, that the disturbances associated with measurements performed on distinct yet identically prepared ensembles of systems in a pure state cannot all be made arbitrarily small. In this article, we review the known results on uncertainty trade-off and disturbance trade-off for projective and non-projective measurements.

Keywords

Disturbance, Entropy, Projective Measurement, Uncertainty.
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  • Uncertainty Trade-Off and Disturbance Trade-Off for Quantum Measurements

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Authors

M. D. Srinivas
Centre for Policy Studies, Mylapore, Chennai 600 004, India
Prabha Mandayam
Department of Physics, Indian Institute of Technology Madras, Chennai 600 036, India

Abstract


An important non-classical feature of quantum measurements is the celebrated uncertainty trade-off, namely that the uncertainties in the outcomes of measurements performed on distinct yet identically prepared ensembles of systems cannot all be made arbitrarily small. Recently, we have shown that quantum measurements also exhibit another non-classical feature of disturbance trade-off namely, that the disturbances associated with measurements performed on distinct yet identically prepared ensembles of systems in a pure state cannot all be made arbitrarily small. In this article, we review the known results on uncertainty trade-off and disturbance trade-off for projective and non-projective measurements.

Keywords


Disturbance, Entropy, Projective Measurement, Uncertainty.

References





DOI: https://doi.org/10.18520/cs%2Fv109%2Fi11%2F2044-2051