Please use this identifier to cite or link to this item: https://doi.org/10.1088/1367-2630/13/7/073033
Title: A time-dependent Tsirelson's bound from limits on the rate of information gain in quantum systems
Authors: Doherty, A.C.
Wehner, S. 
Issue Date: 2011
Source: Doherty, A.C., Wehner, S. (2011). A time-dependent Tsirelson's bound from limits on the rate of information gain in quantum systems. New Journal of Physics 13. ScholarBank@NUS Repository. https://doi.org/10.1088/1367-2630/13/7/073033
Abstract: We consider the problem of distinguishing between a set of arbitrary quantum states in a setting in which the time available to perform the measurement is limited. We provide simple upper bounds on how well we can perform state discrimination in a given time as a function of either the average energy or the range of energies available during the measurement. We exhibit a specific strategy that nearly attains this bound. Finally, we consider several applications of our result. Firstly, we obtain a time-dependent Tsirelson's bound that limits the extent of the Bell inequality violation that can be in principle be demonstrated in a given time t. Secondly, we obtain a Margolus-Levitin type bound when considering the special case of distinguishing orthogonal pure states. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
Source Title: New Journal of Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/38973
ISSN: 13672630
DOI: 10.1088/1367-2630/13/7/073033
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