Tensor network methods are taking a central role in modern quantum physics and beyond. They can provide a good compressed approximation to certain classes of quantum states, and the associated graphical language makes it easy to describe and pictorially reason about quantum circuits, channels, protocols, open systems and more. The goal is to explain tensor networks and some associated methods as quickly and as painlessly as possible, including tensor contractions which approximate ground states of Hamiltonians. Some focus will be given on classes of Hamiltonians with ground states that are, in general, not known to be efficiently found by classical computer algorithms.
Jacob Biamonte holds a permanent senior faculty position in 'Theoretical Quantum Physics' at the University of Malta and an appointment at the Institute of Quantum Computing, at the University of Waterloo. He was appointed the 'Shapiro Fellow' in Mathematical Physics at Pennsylvania State University and gave the accompanied lecture series on uniting the fields of quantum information with complexity science. He worked as an early research scientist at D-Wave Systems Inc. 'the quantum computing company' in Vancouver B.C. and completed an award winning doctoral thesis from the University of Oxford. His postdoctoral research was done mainly at Harvard University and at the University of Oxford. He is an elected member of the Foundational Questions Institute (FQXi). In terms of community service, he is on the editorial boards for several journals, including New Journal of Physics.
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