NDLI: Demonstration of two-qubit quantum algorithms with a solid-state electronic processor

Content Provider	IEEE Xplore Digital Library
Author	DiCarlo, L. Chow, J. Gambetta, J. Bishop, L. Majer, J. Blais, A. Frunzio, L. Girvin, S. Schoelkopf, R.
Copyright Year	2009
Description	Author affiliation: Department of Applied Physics, Yale University, New Haven, CT 06511, USA (DiCarlo, L.; Frunzio, L.) \|\| Atominstitut der Osterreichischen Universitaten, TU-Wien, A-1020 Vienna, Austria (Majer, J.) \|\| Institute for Quantum Computing and Department of Physics and Astronomy, University of Waterloo, Ontario N2L 3G1, Canada (Gambetta, J.) \|\| Departement de Physique, Universite de Sherbrooke, Quebec J1K 2R1, Canada (Blais, A.) \|\| Departments of Physics and Applied Physics, Yale University, New Haven, CT 06511, USA (Girvin, S.; Schoelkopf, R.) \|\| Department of Physics, Yale University, New Haven, CT 06511, USA (Chow, J.; Bishop, L.)
Abstract	We present the experimental implementation of two-qubit quantum algorithms in a superconducting circuit. Our processor incorporates local and fast flux biasing of two transmon qubits within a circuit QED architecture. An off-resonant cavity bus shields the qubits from the external environment and couples them to each other via virtual photon exchange. Meanwhile, integrated short-circuited coplanar waveguides proximal to each qubit allow nanosecond control of their frequencies. We demonstrate flux-controlled single-qubit z rotations and a qubit-qubit conditional phase (c-phase) interaction with a coupling strength tunable by two orders of magnitude. These operations are combined with frequency-multiplexed x and y rotations to form a set of gates universal for quantum computation. Dispersive frequency shifts of the cavity bus allow tomography of the two-qubit state, and accurate determination of state purity, fidelity and entanglement. The processor is first programmed to generate and detect entanglement on demand using sequences of five single-qubit operations and one c-phase. The four Bell states are generated with fidelities better than 90%, corresponding to a concurrence of 0.85 or an entanglement of formation of 0.8. Next, the Grover search algorithm is implemented by concatenating eight single-qubit and two c-phases operations. The fidelity of the algorithm output states to the theoretical ideal is ∼ 80%, consistent with the observed T1 times ∼ 1 us and the total duration ∼ 130 ns of the algorithm sequence. We also program and execute the Deutsch-Jozsa algorithm, finding similar performance. Prospects for scaling the processor beyond two qubits will be discussed. Research supported by NSF, NSA and ARO.
Starting Page	1
Ending Page	1
File Size	209552
Page Count	1
File Format	PDF
ISBN	9781557528698
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-06-02
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	OSA
Subject Keyword	Quantum computing Computed tomography Physics computing Coupling circuits Tunable circuits and devices Frequency Solid state circuits Coplanar waveguides Astronomy Dispersion
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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