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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

How many classical resources are required for representing a quantum system?
Speaker(s): Alberto Montina
Abstract: One of the most peculiar features of quantum mechanics is the exponential growth of resources required to define the quantum state of a composite system. It makes the direct simulation of even a handful of particles impossible in practice. This growth is not surprising by itself, since the quantum state contains the full statistical information concerning any outcome of measurements performed on ensembles. Thus, it is reasonable to wonder if it is possible to describe a single system with a smaller number of classical resources, encoding the information on the quantum state in the statistical behavior of many replicas of identically prepared systems. In other words, we can imagine that there is a "small" sampling space and each quantum state is associated with a probability distribution on this space. In this talk, I will quantify the amount of classical resources by the dimension of the sampling space and will review the recent results in this field, discussing their connection with some findings in quantum communication complexity. Finally, by borrowing some ideas of quantum communication, I will present a stochastic model that exactly reproduces the Rabi oscillations of a qubit and uses just two classical bits in the representation of a single system.
Date: 31/05/2011 - 4:00 pm
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