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Universal Hamiltonians for Exponentially Long Simulation

Friday, October 13, 2017
12:00 PM - 1:00 PM
Location: East Bridge 114
Thom Bohdanowicz, Graduate Student, Brandao Group

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
For more information, please phone 626-395-4013 or email marciab@caltech.edu

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