Analytical modeling of parametrically modulated transmon qubits

被引:56
作者
Didier, Nicolas [1 ]
Sete, Eyob A. [1 ]
da Silva, Marcus P. [1 ]
Rigetti, Chad [1 ]
机构
[1] Rigetti Comp, 775 Heinz Ave, Berkeley, CA 94710 USA
关键词
QUANTUM DYNAMICS;
D O I
10.1103/PhysRevA.97.022330
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Building a scalable quantum computer requires developing appropriate models to understand and verify its complex quantum dynamics. We focus on superconducting quantum processors based on transmons for which full numerical simulations are already challenging at the level of qubytes. It is thus highly desirable to develop accurate methods of modeling qubit networks that do not rely solely on numerical computations. Using systematic perturbation theory to large orders in the transmon regime, we derive precise analytic expressions of the transmon parameters. We apply our results to the case of parametrically modulated transmons to study recently implemented, parametrically activated entangling gates.
引用
收藏
页数:13
相关论文
共 40 条
[1]  
Aliferis P, 2006, QUANTUM INF COMPUT, V6, P97
[2]  
[Anonymous], 1964, Handbook of mathematical functions with formulas, graphs, and mathematical tables
[3]   Digitized adiabatic quantum computing with a superconducting circuit [J].
Barends, R. ;
Shabani, A. ;
Lamata, L. ;
Kelly, J. ;
Mezzacapo, A. ;
Heras, U. Las ;
Babbush, R. ;
Fowler, A. G. ;
Campbell, B. ;
Chen, Yu ;
Chen, Z. ;
Chiaro, B. ;
Dunsworth, A. ;
Jeffrey, E. ;
Lucero, E. ;
Megrant, A. ;
Mutus, J. Y. ;
Neeley, M. ;
Neill, C. ;
O'Malley, P. J. J. ;
Quintana, C. ;
Roushan, P. ;
Sank, D. ;
Vainsencher, A. ;
Wenner, J. ;
White, T. C. ;
Solano, E. ;
Neven, H. ;
Martinis, John M. .
NATURE, 2016, 534 (7606) :222-226
[4]   Coherent Josephson Qubit Suitable for Scalable Quantum Integrated Circuits [J].
Barends, R. ;
Kelly, J. ;
Megrant, A. ;
Sank, D. ;
Jeffrey, E. ;
Chen, Y. ;
Yin, Y. ;
Chiaro, B. ;
Mutus, J. ;
Neill, C. ;
O'Malley, P. ;
Roushan, P. ;
Wenner, J. ;
White, T. C. ;
Cleland, A. N. ;
Martinis, John M. .
PHYSICAL REVIEW LETTERS, 2013, 111 (08)
[5]   First-order sidebands in circuit QED using qubit frequency modulation [J].
Beaudoin, Felix ;
da Silva, Marcus P. ;
Dutton, Zachary ;
Blais, Alexandre .
PHYSICAL REVIEW A, 2012, 86 (02)
[6]   Parametric coupling for superconducting qubits [J].
Bertet, P ;
Harmans, CJPM ;
Mooij, JE .
PHYSICAL REVIEW B, 2006, 73 (06)
[7]   Quantum-information processing with circuit quantum electrodynamics [J].
Blais, Alexandre ;
Gambetta, Jay ;
Wallraff, A. ;
Schuster, D. I. ;
Girvin, S. M. ;
Devoret, M. H. ;
Schoelkopf, R. J. .
PHYSICAL REVIEW A, 2007, 75 (03)
[8]   Quantum dynamics of an electromagnetic mode that cannot contain N photons [J].
Bretheau, L. ;
Campagne-Ibarcq, P. ;
Flurin, E. ;
Mallet, F. ;
Huard, B. .
SCIENCE, 2015, 348 (6236) :776-779
[9]  
Caldwell S., ARXIV170606562
[10]  
Cottet A., 2002, THESIS