Effective Hamiltonian models of the cross-resonance gate
Easwar Magesan,Jay M. Gambetta +1 more
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In this article, effective Hamiltonian methods are utilized to model the two-qubit cross-resonance gate for both the ideal two qubit case and when higher levels are included.Abstract:
Effective Hamiltonian methods are utilized to model the two-qubit cross-resonance gate for both the ideal two-qubit case and when higher levels are included. Analytic expressions are obtained in the qubit case and the higher-level model is solved both perturbatively and numerically, with the solutions agreeing well in the weak-drive limit. The methods are applied to parameters from recent experiments and, accounting for classical cross-talk effects, results in good agreement between theory and experimental results.read more
Citations
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Circuit quantum electrodynamics
TL;DR: The field of circuit quantum electrodynamics (QED) as discussed by the authors was initiated by Josephson-junction-based superconducting circuits and has become an independent and thriving field of research in its own right.
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Error mitigation extends the computational reach of a noisy quantum processor
Abhinav Kandala,Kristan Temme,Antonio Corcoles,Antonio Mezzacapo,Jerry M. Chow,Jay M. Gambetta +5 more
TL;DR: This work applies the error mitigation protocol to mitigate errors in canonical single- and two-qubit experiments and extends its application to the variational optimization of Hamiltonians for quantum chemistry and magnetism.
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Quantum Information Scrambling in a Superconducting Qutrit Processor
Machiel Blok,Vinay Ramasesh,Thomas Schuster,Kevin O'Brien,John Mark Kreikebaum,Dar Dahlen,Alexis Morvan,Beni Yoshida,Norman Y. Yao,Irfan Siddiqi +9 more
TL;DR: The teleportation algorithm, which connects to recent proposals for studying traversable wormholes in the laboratory, demonstrates how quantum information processing technology based on higher dimensional systems can exploit a larger and more connected state space to achieve the resource efficient encoding of complex quantum circuits.
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Suppression of Unwanted ZZ Interactions in a Hybrid Two-Qubit System.
Jaseung Ku,Xuexin Xu,Markus Brink,David McKay,Hertzberg Jared Barney,Mohammad Ansari,Britton Plourde +6 more
TL;DR: Experimental measurements and theoretical modeling of two-qubit gate error for gates based on the cross resonance interaction between a capacitively shunted flux qubit and a transmon are presented, and the elimination of the ZZ interaction is demonstrated.
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Reducing Unitary and Spectator Errors in Cross Resonance with Optimized Rotary Echoes
Neereja Sundaresan,Isaac Lauer,Emily J. Pritchett,Easwar Magesan,Petar Jurcevic,Jay M. Gambetta +5 more
TL;DR: An important entangling quantum gate is improved in this article, leading to a demonstrable increase in quantum volume, leading to an increase in the number of quantum quantum gates in the world.
References
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Journal ArticleDOI
Zur Quantentheorie der Molekeln
Max Born,Werner Heisenberg +1 more
TL;DR: In der Anwendung der Quantentheorie auf die Molekeln kann man folgende Entwicklungsstufen unterscheiden: Das erste Stadium1) ersetzt die zweiatomige Molekel durch das Hantelmodell, das als einfacher „Rotator“ behandelt wird as discussed by the authors.
Journal ArticleDOI
Charge-insensitive qubit design derived from the Cooper pair box
Jens Koch,Terri M. Yu,Jay M. Gambetta,Andrew Houck,David Schuster,Johannes Majer,Alexandre Blais,Michel Devoret,Steven Girvin,Robert Schoelkopf +9 more
TL;DR: In this paper, the transmon was proposed to operate in a regime of significantly increased ratio of Josephson energy and charging energy, while maintaining sufficient anharmonicity for selective qubit control.
Journal ArticleDOI
Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation
Alexandre Blais,Ren-Shou Huang,Ren-Shou Huang,Andreas Wallraff,Steven Girvin,Robert Schoelkopf +5 more
TL;DR: In this paper, a realizable architecture using one-dimensional transmission line resonators was proposed to reach the strong coupling limit of cavity quantum electrodynamics in superconducting electrical circuits.
Journal ArticleDOI
Relation between the Anderson and Kondo Hamiltonians
J. R. Schrieffer,P. A. Wolff +1 more
TL;DR: In this article, a canonical transformation is used to relate the Anderson model of localized magnetic moment in a dilute alloy to that of Kondo, and the two models are shown to be equivalent.
Journal ArticleDOI
Topological quantum memory
TL;DR: In this article, the authors studied the topological quantum error-correcting surface codes (surface codes) introduced by Kitaev, where qubits are arranged in a two-dimensional array on a surface of nontrivial topology.
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