Reference : Limits to Perception by Quantum Monitoring with Finite Efficiency
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
Physics and Materials Science
Limits to Perception by Quantum Monitoring with Finite Efficiency
García-Pintos, Luis Pedro [Department of Physics, University of Massachusetts, Boston, MA 02125, USA > > > ; Joint Center for Quantum Information and Computer Science and Joint Quantum Institute NIST/University of Maryland, College Park, MD 20742, USA]
Del Campo Echevarria, Adolfo mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS) >]
[en] We formulate limits to perception under continuous quantum measurements by comparing the quantum states assigned by agents that have partial access to measurement outcomes. To this end, we provide bounds on the trace distance and the relative entropy between the assigned state and the actual state of the system. These bounds are expressed solely in terms of the purity and von Neumann entropy of the state assigned by the agent, and are shown to characterize how an agent's perception of the system is altered by access to additional information We apply our results to Gaussian states and to the dynamics of a system embedded in an environment illustrated on a quantum Ising chain.

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