IQIM Postdoctoral and Graduate Student Seminar

Friday October 13, 2017 12:00 PM

Universal Hamiltonians for Exponentially Long Simulation

Speaker: Thom Bohdanowicz
Location: East Bridge 114

Abstract: In this talk we address the problem of how to build a "simple" universal, local, translation-invariant, and time independent Hamiltonian whose time evolution can efficiently simulate the time evolution of any other Hamiltonian for up to exponentially long times. While this is a result about Hamiltonian simulation, this construction was partly motivated by a conjecture by Susskind which proposes a possible role of a quantum state's circuit complexity in the context of the AdS/CFT duality. In the first half of the talk, we will discuss this motivating background at a simple level and the related results that follow from our construction. In the second half of the talk, I will describe the construction of our universal Hamiltonian that achieves our results by using the ideas of a Hamiltonian Quantum Cellular Automaton (HQCA) and a continuous-time quantum walk on a line.

The IQIM Seminar Committee is excited to announce that the IQIM seminar will have a new format this year. Seminars will take place at lunch on Fridays, with food served beginning at 12 noon. There will not be a break halfway through the talk. More details on the mission of the seminars and the new format can be found on the IQIM website

 


 

 

Series IQIM Postdoctoral and Graduate Student Seminar Series

Contact: Marcia Brown at 626-395-4013 marciab@caltech.edu