Name
Title | ||
|---|---|---|
High-Performance Quantum Simulation for Coupled Josephson Junctions on the Earth Simulator: a Challenge To the Schrödinger Equation On 2564 Grids |
Abstract | ||
|---|---|---|
In order to explore quantum dynamics of coupled Josephson junctions, we develop a program solving directly the time-dependent Schr脙露dinger equation by diagonalizing the Hamiltonian matrix and obtaining its ground and multiple low-lying excitation states. The Schr脙露dinger equation is defined on mn grids, in which m is the number of grid points discretized on a characteristic phase space of each junction and n is the number of coupled junctions. In this paper, the calculated maximum system is that m = 256 and n = 4, i.e. the number of degrees of freedom reaches 2564 (=4,294,967,296). We examine possible effective numerical schemes and make a parallel tuning to optimize the communication on the Earth Simulator. We sustain floating-point operation performance exceeding 20% of the peak on 512 nodes (4,096 PEs). From systematic calculations, we find a new concept that â聙聹quantum-assisted synchronizationâ聙聺 occurs with downsizing the junction plane. This is a discovery adding a quantum flavor to the classical concept â聙聹synchronizationâ聙聺. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1177/1094342009352483 | IJHPCA |
Keywords | Field | DocType |
josephson junction,time-dependent schr,junction plane,dinger equation,earth simulator,quantum dynamic,quantum-assisted synchronization,high-performance quantum simulation,new concept,josephson junctions,classical concept,quantum flavor,conditional convergence,hamiltonian matrix,quantum dynamics,floating point,phase space,degree of freedom,excited states,conjugate gradient method | Quantum,Josephson effect,Simulation,Phase space,Schrödinger equation,Theoretical computer science,Quantum simulator,Hamiltonian matrix,Quantum dynamics,Grid,Mathematics | Journal |
Volume | Issue | ISSN |
24 | 3 | 1094-3420 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Toshiyuki Imamura | 1 | 95 | 22.21 |
| Takuma Kano | 2 | 28 | 4.30 |
| Susumu Yamada | 3 | 36 | 9.54 |
| Masahiko Okumura | 4 | 4 | 2.59 |
| Masahiko Machida | 5 | 34 | 9.76 |