2019年7月2日 五室第111期研讨会

201972 五室第111期研讨会

题  目:Plasma Theory Connections to Quantum Information Science

报告人Prof. Scott Parker  ( University of Colorado)

 时  间:2019年7月2日(星期二)  14:00—15:00

地  点:601会议室

摘  要:

The potential impact of quantum information science (QIS) on large-scale computing is tantalizing due to the capability to manipulate 2^N complex numbers where N is the number of qubits.  Even for N=60, one approaches exascale. Additionally, Moore’s law scaling, nearing 5 nm scale, is approaching physical limits. Present day experimental quantum computers are very modest in terms of size and general capability. Whether they may someday be useful for large-scale computation is unknown due to fundamental constraints.  Efficient operations are linear.  Copying data is approximate.  Measurement, or obtaining output is expensive. Here we present two research areas where QIS and plasma theory overlap in interesting ways: 1) quantum algorithms solving the Vlasov equation, and 2) direct numerical simulation of ultra-cold non-neutral ion plasmas used in QIS.  We have developed a quantum algorithm that time evolves the linear Vlasov equation with an exponential speed up, thereby, directly addressing the computational demands of the 6D phase space.  Progress is being made on developing strategies for the nonlinear problem.  A series expansion with good convergence properties using the Homotopy Analysis method (HAM)[1] allows formulation of the nonlinear problem as a large number of matrix multiplies suitable for an efficient quantum algorithm.  Additionally, we will discuss how plasma theory can help support QIS via many-particle simulation of ultra-cold non-neutral ion plasmas.  A Penning trap is being used to simulate 100’s of interacting quantum spins using an ultracold 2D crystal of singly-ionized Beryllium ions[2].  The simulation obtains excellent agreement with linear eigenmode analysis and includes a fairly detailed laser doppler cooling model that allows prediction of the ultracold plasma steady state, and shows agreement with experimentally observed temperatures.

欢迎感兴趣的同事参加!