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Jacob Biamonte
624 followers -
Lead of the Quantum Complexity Science Initiative
Lead of the Quantum Complexity Science Initiative

624 followers
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Jacob's posts

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Complex Networks: from Classical to Quantum winter school.

Myself as well as many others will be lecturing starting April 3rd in beautiful Obergurgol. There are still a few spaces left to join the school. If this sort of thing interests you, hope to see you there.

#complexNetworks #quantum #quantumComputing 

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Topological classification of time-asymmetry in unitary quantum processes

The definition of time reversal symmetry in quantum walks leads to a new general dichotomy, classifying quantum processes in terms of the topology of the Hamiltonian support graph. It's really fun stuff and touches on several topics across a range of disciplines in physics.

abstract: "Effective gauge fields have allowed the emulation of matter under strong magnetic fields leading to the realization of Harper-Hofstadter, Haldane models, and led to demonstrations of one-way waveguides and topologically protected edge states. Central to these discoveries is the chirality induced by time-symmetry breaking. Due to the discovery of quantum search algorithms based on walks on graphs, recent work has discovered new implications the effect of time-reversal symmetry breaking has on the transport of quantum states and has brought with it a host of new experimental implementations. We provide a full classification of the unitary operators defining quantum processes which break time-reversal symmetry in their induced transition properties between basis elements in a preferred site-basis. Our results are furthermore proven in terms of the geometry of the corresponding Hamiltonian support graph and hence provide a topological classification. A quantum process of this type is necessarily time-symmetric for any choice of time-independent Hamiltonian if and only if the underlying support graph is bipartite. Moreover, for non-bipartite support, there exists a time-independent Hamiltonian with necessarily complex edge weights that induces time-asymmetric transition probabilities between edge(s). We further prove that certain bipartite graphs give rise to transition probability suppression, but not broken time-reversal symmetry. These results fill an important missing gap in understanding the role this omnipresent effect has in quantum physics. Furthermore, through our development of a general framework, along the way to our results we completely characterize gauge potentials on combinatorial graphs.

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Complex Networks: from Classical to Quantum --- https://arxiv.org/abs/1702.08459 
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Complex Networks: from Classical to Quantum

https://arxiv.org/abs/1702.08459

"Recent progress in applying complex network theory to problems faced in quantum information and computation has resulted in a beneficial crossover between two fields. Complex network methods have successfully been used to characterize quantum walk and transport models, entangled communication networks, graph theoretic models of emergent space-time and in detecting community structure in quantum systems. Information physics is setting the stage for a theory of complex and networked systems with quantum information-inspired methods appearing in complex network science, including information-theoretic distance and correlation measures for network characterization. Novel quantum induced effects have been predicted in random graphs---where edges represent entangled links---and quantum computer algorithms have recently been proposed to offer super-polynomial enhancement for several network and graph theoretic problems. Here we review the results at the cutting edge, pinpointing the similarities and reconciling the differences found in the series of results at the intersection of these two fields."

with +Mauro Faccin and +Manlio De Domenico
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Learn tensor networks in 10 minutes by clicking on the link. bit.ly/2lliDxd

cover by +Lusa Zeglova
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New work with +Jacob Biamonte using quantum thermodynamics and quantum computing concepts to build a theory at the edge of network science and information theory. (Direct link: https://journals.aps.org/prx/abstract/10.1103/PhysRevX.6.041062)

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+André Xuereb is organizing another massive workshop in Malta, this time on quantum technologies in space. His workshops are good. I will be there.

Submission deadline: December 31, 2017
More information at: https://qtspacemalta.sciencesconf.org/

Programme committee

Mauro Paternostro (chair)

Angelo Bassi

Simon Gröblacher

Yasser Omar

Hendrik Ulbricht

Rainer Kaltenbaek

Christoph Marquardt
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Quantum Machine Learning

with Peter Wittek, +Nicola Pancotti, Patrick Rebentrost, +Nathan Wiebe, Seth Lloyd --- https://arxiv.org/abs/1611.09347

Recent progress implies that a crossover between machine learning and quantum information processing benefits both fields. Traditional machine learning has dramatically improved the benchmarking and control of experimental quantum computing systems, including adaptive quantum phase estimation and designing quantum computing gates. On the other hand, quantum mechanics offers tantalizing prospects to enhance machine learning, ranging from reduced computational complexity to improved generalization performance. The most notable examples include quantum enhanced algorithms for principal component analysis, quantum support vector machines, and quantum Boltzmann machines. Progress has been rapid, fostered by demonstrations of midsized quantum optimizers which are predicted to soon outperform their classical counterparts. Further, we are witnessing the emergence of a physical theory pinpointing the fundamental and natural limitations of learning. Here we survey the cutting edge of this merger and list several open problems.
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Harvard Workshop on Subfactor Theory, Quantum Field Theory, and Quantum Information - Oct 8th, 9th and 10th (http://www.math.harvard.edu/conferences/qft16/)

There's recently been some exciting developments in the area of tensor networks, revolving around what's known as the 'two-string' model and bringing with it some of the magical machinery that lead Jones to a fields medal. He'll be attending this workshop as will many others including +Zoltan Zimboras and +Alex Wozniakowski (who is partly responsible for this workshop even happening at all!). After the meeting, perhaps we'll head on up and see +Jay Whitfield, now assistant prof. at Dartmouth.
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