Improving Quantum Tomography: An overview of recent results

Thursday, December 6, 2018, 10:30 am - 12:00 pm PDTiCal
MDR 1015 / ARL 207
This event is open to the public.

Speaker: Dr. Amir Kalev

Host: Itay Hen

Abstract: Quantum tomography is the generic protocol for characterizing quantum states and processes. However, since quantum states and processes are characterized by an exponential number of parameters (in terms of the number of subsystems), to characterize quantum systems we must design more efficient tomographic protocols. In this talk I will present two contributions along this line. In the first part, I will describe how we may take advantage of prior information about the state of the system to improve data acquisition schemes of quantum state tomography. In the second part of the talk I will focus on improving data analysis schemes. I will present a scheme for solving semidefinite programs---which are at the heart of quantum tomography---on quantum computers. In particular, I will focus and describe a subroutine of this scheme for efficiently preparing Gibbs states. The ability to efficiently prepare Gibbs states and solve semidefinite programs on quantum computers, however, has a wider range of application going beyond quantum tomography. I will briefly discuss some of these potential applications, and future research directions.

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