Monday, September 4, 2017

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Geometry of Entanglement in the Bloch Sphere Rotem Liss

Entanglement is an important concept in quantum information, quantum communication, and quantum computing. We provide a geometrical analysis of entanglement and separability for all the rank-2 quantum mixed states: complete analysis for the bipartite states and partial analysis for the multipartite states. For each rank-2 mixed state, we define its unique Bloch sphere, that is spanned by the eigenstates of its density matrix. We characterize those Bloch spheres into exactly five classes of entanglement and separability, give examples for each class, and prove that those are the only classes.

Joint work with Michel Boyer and Tal Mor.

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Author:
Tal Mor
Body:

More than thirty years ago Feynman and Deutsch came up with the quantum computer. A decade later Peter Shor had shown the incredible power of quantum computers - for example, their ability to factorize large numbers, an ability whose technological consequences for the world of internet encryption and banking can be devastating.

In the last years the Wolf Prize, the Nobel Prize, and the Shannon’s Prize were given to researchers promoting quantum information and computing technologies, and the DWAVE startup has sold "quantum
simulators" to Lockheed Martin, as well as to Google and NASA. Is the future here? Or will we have to wait for it for a few more decades?

The answer depends upon whom you ask. In this presentation I will try to clearly present the current situation of this field.

 

 
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