33 research outputs found
Using Sideband Transitions for Two-Qubit Operations in Superconducting Circuits
We demonstrate time resolved driving of two-photon blue sideband transitions
between superconducting qubits and a transmission line resonator. Using the
sidebands, we implement a pulse sequence that first entangles one qubit with
the resonator, and subsequently distributes the entanglement between two
qubits. We show generation of 75% fidelity Bell states by this method. The full
density matrix of the two qubit system is extracted using joint measurement and
quantum state tomography, and shows close agreement with numerical simulation.
The scheme is potentially extendable to a scalable universal gate for quantum
computation.Comment: 4 pages, 5 figures, version with high resolution figures available at
http://qudev.ethz.ch/content/science/PubsPapers.htm
Multi-mode mediated exchange coupling in cavity QED
Microwave cavities with high quality factors enable coherent coupling of
distant quantum systems. Virtual photons lead to a transverse exchange
interaction between qubits, when they are non-resonant with the cavity but
resonant with each other. We experimentally probe the inverse scaling of the
inter-qubit coupling with the detuning from a cavity mode and its
proportionality to the qubit-cavity interaction strength. We demonstrate that
the enhanced coupling at higher frequencies is mediated by multiple
higher-harmonic cavity modes. Moreover, in the case of resonant qubits, the
symmetry properties of the system lead to an allowed two-photon transition to
the doubly excited qubit state and the formation of a dark state.Comment: 9 pages, 6 figure
Dynamics of dispersive single qubit read-out in circuit quantum electrodynamics
The quantum state of a superconducting qubit nonresonantly coupled to a
transmission line resonator can be determined by measuring the quadrature
amplitudes of an electromagnetic field transmitted through the resonator. We
present experiments in which we analyze in detail the dynamics of the
transmitted field as a function of the measurement frequency for both weak
continuous and pulsed measurements. We find excellent agreement between our
data and calculations based on a set of Bloch-type differential equations for
the cavity field derived from the dispersive Jaynes-Cummings Hamiltonian
including dissipation. We show that the measured system response can be used to
construct a measurement operator from which the qubit population can be
inferred accurately. Such a measurement operator can be used in tomographic
methods to reconstruct single and multiqubit states in ensemble-averaged
measurements.Comment: Revised version: corrected typos, 8 pages, 6 figures, version with
high resolution figures available at
http://qudev.ethz.ch/content/science/PubsPapers.htm
Thermal Excitation of Multi-Photon Dressed States in Circuit Quantum Electrodynamics
The exceptionally strong coupling realizable between superconducting qubits
and photons stored in an on-chip microwave resonator allows for the detailed
study of matter-light interactions in the realm of circuit quantum
electrodynamics (QED). Here we investigate the resonant interaction between a
single transmon-type multilevel artificial atom and weak thermal and coherent
fields. We explore up to three photon dressed states of the coupled system in a
linear response heterodyne transmission measurement. The results are in good
quantitative agreement with a generalized Jaynes-Cummings model. Our data
indicates that the role of thermal fields in resonant cavity QED can be studied
in detail using superconducting circuits.Comment: ArXiv version of manuscript to be published in the Physica Scripta
topical issue on the Nobel Symposium 141: Qubits for Future Quantum
Computers(2009), 13 pages, 6 figures, hi-res version at
http://qudev.ethz.ch/content/science/PubsPapers.htm
Two-Qubit State Tomography using a Joint Dispersive Read-Out
Quantum state tomography is an important tool in quantum information science
for complete characterization of multi-qubit states and their correlations.
Here we report a method to perform a joint simultaneous read-out of two
superconducting qubits dispersively coupled to the same mode of a microwave
transmission line resonator. The non-linear dependence of the resonator
transmission on the qubit state dependent cavity frequency allows us to extract
the full two-qubit correlations without the need for single shot read-out of
individual qubits. We employ standard tomographic techniques to reconstruct the
density matrix of two-qubit quantum states.Comment: 4 pages, 4 figures, version with high resolution figures available at
http://qudev.ethz.ch/content/science/PubsPapers.htm
Climbing the Jaynes-Cummings Ladder and Observing its Sqrt(n) Nonlinearity in a Cavity QED System
The already very active field of cavity quantum electrodynamics (QED),
traditionally studied in atomic systems, has recently gained additional
momentum by the advent of experiments with semiconducting and superconducting
systems. In these solid state implementations, novel quantum optics experiments
are enabled by the possibility to engineer many of the characteristic
parameters at will. In cavity QED, the observation of the vacuum Rabi mode
splitting is a hallmark experiment aimed at probing the nature of matter-light
interaction on the level of a single quantum. However, this effect can, at
least in principle, be explained classically as the normal mode splitting of
two coupled linear oscillators. It has been suggested that an observation of
the scaling of the resonant atom-photon coupling strength in the
Jaynes-Cummings energy ladder with the square root of photon number n is
sufficient to prove that the system is quantum mechanical in nature. Here we
report a direct spectroscopic observation of this characteristic quantum
nonlinearity. Measuring the photonic degree of freedom of the coupled system,
our measurements provide unambiguous, long sought for spectroscopic evidence
for the quantum nature of the resonant atom-field interaction in cavity QED. We
explore atom-photon superposition states involving up to two photons, using a
spectroscopic pump and probe technique. The experiments have been performed in
a circuit QED setup, in which ultra strong coupling is realized by the large
dipole coupling strength and the long coherence time of a superconducting qubit
embedded in a high quality on-chip microwave cavity.Comment: ArXiv version of manuscript published in Nature in July 2008, 5
pages, 5 figures, hi-res version at
http://www.finkjohannes.com/SqrtNArxivPreprint.pd
Coplanar Waveguide Resonators for Circuit Quantum Electrodynamics
We have designed and fabricated superconducting coplanar waveguide resonators
with fundamental frequencies from 2 to and loaded quality factors
ranging from a few hundreds to a several hundred thousands reached at
temperatures of . The loaded quality factors are controlled by
appropriately designed input and output coupling capacitors. The measured
transmission spectra are analyzed using both a lumped element model and a
distributed element transmission matrix method. The experimentally determined
resonance frequencies, quality factors and insertion losses are fully and
consistently characterized by the two models for all measured devices. Such
resonators find prominent applications in quantum optics and quantum
information processing with superconducting electronic circuits and in single
photon detectors and parametric amplifiers.Comment: 8 pages, 8 figures, version with high resolution figures available at
http://qudev.ethz.ch/content/science/PubsPapers.htm
Quantum Acoustics with Surface Acoustic Waves
It has recently been demonstrated that surface acoustic waves (SAWs) can
interact with superconducting qubits at the quantum level. SAW resonators in
the GHz frequency range have also been found to have low loss at temperatures
compatible with superconducting quantum circuits. These advances open up new
possibilities to use the phonon degree of freedom to carry quantum information.
In this paper, we give a description of the basic SAW components needed to
develop quantum circuits, where propagating or localized SAW-phonons are used
both to study basic physics and to manipulate quantum information. Using
phonons instead of photons offers new possibilities which make these quantum
acoustic circuits very interesting. We discuss general considerations for SAW
experiments at the quantum level and describe experiments both with SAW
resonators and with interaction between SAWs and a qubit. We also discuss
several potential future developments.Comment: 14 pages, 12 figure