Dear all, We are happy to have Brian Swingle from University of Maryland as our first speaker at IBM Quantum (IBM Q) on Monday March 25th at 11 AM. *** For this and future such talks *RSVP is required* because of limited space and access to IBM. It is a <10 min walk from MIT. Please RSVP by sending an email to: ramis(a)us.ibm.com *Speaker: *Brian Swingle (UMD, Department of Physics) *Title:* A sparse model of quantum holography *Abstract: *We use a probabilistic pruning procedure to define new sparse quantum Hamiltonians from all-to-all connected Hamiltonians. By suitably adjusting the pruning probability, we obtain a model where the number of interaction terms scales like kN where N is the number of degrees of freedom and k is a parameter. Applied to the Sachdev-Ye-Kitaev (SYK) model, we obtain a sparse SYK (s-SYK) model which in the large N limit admits a 1/k expansion with the fully connected solution as the leading term. Applying the procedure to a supersymmetric version of SYK yields a model in which the fully connected saddle point is dominant down to the lowest temperatures. Hence, we exhibit a sparse quantum Hamiltonian which has a sector dual to a supersymmetric gravity theory. The sparsity gives additional technical benefits: classical and quantum simulation of the model is easier, at least for certain physical properties. In particular, the best previous algorithm for quantum simulation of SYK had complexity cost per unit time proportional to N^7/2; the analogous cost in the sparse model is of order N^2. Time: 11 AM, Monday March 25th Location: IBM Research, Room 5B-26 @ 75 Binney Street, Cambridge MA, 02142 https://goo.gl/maps/ajK6HZ8R1TC2 Host: Ramis Movassagh (ramis(a)us.ibm.com) _______________________________________________ qip mailing list qip(a)mit.edu http://mailman.mit.edu/mailman/listinfo/qip