Prof.  Wanyang  Dai
Nanjing University,  China

Title: n-Qubit Operations on Sphere and Queueing Scaling Limits for Programmable Quantum Computer

Abstract:

We derive a general spherical coordinate formula for a quantum state of n-qubit register and study $n$-qubit operation rules on (n+1)-sphere with the target to help developing a (photon or other technique) based programmable quantum computer. In the meanwhile, we derive the scaling limits (called reflecting Gaussian random fields on a (n+1)-sphere) for n-qubit quantum computer based queueing systems under two different heavy traffic regimes. The queueing systems are with multiple classes of users and batch quantum random walks over the (n+1)-sphere as arrival inputs. In the first regime, the qubit number n is fixed and the scaling is in terms of both time and space. Under this regime, performance modeling during deriving the scaling limit in terms of balancing the arrival and service rates under first-in first-out and work conserving service policy is conducted. In the second regime, besides the time and space scaling parameters, the qubit number n itself is also considered as a varying scaling parameter with the additional aim to find a suitable number of qubits for the design of a quantum computer. This regime is in contrast to the well-known Halfin-Whitt regime.

Biography:

Wanyang Dai is a Distinguished Professor in Nanjing University and Chief Scientist in DepthsData Digital Economic Research Institute. He is the current President & CEO of U.S. based (Blockchain & Quantum-Computing) SIR Forum (Industrial 6.0 Forum), President of Jiangsu Probability & Statistical Society in China, Chairman of Jiangsu BigData-Blockchain and Smart Information Special Committee in China. He received his Ph.D. from Georgia Institute of Technology in USA. He was a MTS and principal investigator in U.S. based AT&T Bell Labs (currently Nokia Bell Labs) with some project won “Technology Transfer” now called cloud system. He published numerous influential papers in big name journals including Operations Research and Journal of Computational and Applied Mathematics. He received various academic awards and has presented over 40 keynote/plenary speeches in IEEE/ACM, computational and applied mathematics, biomedical engineering, mathematics & statistics, and other international conferences. He has been serving as IEEE/ACM conference chairs, editors-in-chief and editorial board members for various international journals ranging from pure mathematics & statistics to their applications.