Stochastic limit approximation for rapidly decaying systems

The stochastic limit approximation method for ``rapid'' decay is presented, where the damping rate \gamma is comparable to the system frequency \Omega, i.e., \gamma \sim \Omega, whereas the usual stochastic limit approximation is applied only to the weak damping situation \gamma << \Omega. The key formulas for rapid decay are very similar to those for weak damping, but the dynamics is quite different. From a microscopic Hamiltonian, the spin-boson model, a Bloch equation containing two independent time scales is derived. This is a useful method to extract the minimal dissipative dynamics at high temperature kT >> \hbar\Omega and the master equations obtained are of the Lindblad form even for the Caldeira-Leggett model. The validity of the method is confirmed by comparing the master equation derived through this method with the exact one.Comment: REVTeX, 6 pages; To be published in Phys. Rev. A 63 (Feb. 2000

Design of Quantum Annealing Machine for Prime Factoring

We propose a prime factoring machine operated in a frame work of quantum annealing (QA). The idea is inverse operation of a quantum-mechanically reversible multiplier implemented with QA-based Boolean logic circuits. We designed the QA machine on an application-specific-annealing-computing architecture which efficiently increases available hardware budgets at the cost of restricted functionality. The circuits are to be implemented and fabricated by using superconducting integrated circuit technology. We propose a three-dimensional packaging scheme of a qubit-chip / interposer / package-substrate structure for realizing practically-large scale QA systems.Comment: 3 pages, 6 figures, to appear in IEEE Xplore Conference Proceedings of the 16th International Superconductive Electronics Conference (ISEC 2017

Guest Editors' Introduction: Special Issue on Analyzing Interactions in PBL—Where to Go From Here?

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