Contextuality without nonlocality in a superconducting quantum system

  1. Markus Jerger,
  2. Yarema Reshitnyk,
  3. Markus Oppliger,
  4. Anton Potočnik,
  5. Mintu Mondal,
  6. Andreas Wallraff,
  7. Kenneth Goodenough,
  8. Stephanie Wehner,
  9. Kristinn Juliusson,
  10. Nathan K. Langford,
  11. and Arkady Fedorov
Quantum physics cannot be reconciled with the classical philosophy of noncontextual realism. Realism demands that system properties exist independently of whether they are measured,
while noncontextuality demands that the results of measurements do not depend on what other measurements are performed in conjunction with them. The Bell-Kochen-Specker theorem states that noncontextual realism cannot reproduce the measurement statistics of a single three-level quantum system (qutrit). Noncontextual realistic models may thus be tested using a single qutrit without relying on the notion of quantum entanglement in contrast to Bell inequality tests. It is challenging to refute such models experimentally, since imperfections may introduce loopholes that enable a realist interpretation. Using a superconducting qutrit with deterministic, binary-outcome readouts, we violate a noncontextuality inequality while addressing the detection, individual-existence and compatibility loopholes. Noncontextuality tests have been carried out in a range of different physical systems and dimensionalities, including neutrons, trapped ions and single photons, but no experiment addressing all three loopholes has been performed in the qutrit scenario where entanglement cannot play a role. Demonstrating state-dependent contextuality of a solid-state system is also an important conceptual ingredient for universal quantum computation in surface-code architectures, currently the most promising route to scalable quantum computing.

Photon-mediated interactions between distant artificial atoms

  1. Arjan F. van Loo,
  2. Arkady Fedorov,
  3. Kevin Lalumière,
  4. Barry C. Sanders,
  5. Alexandre Blais,
  6. and Andreas Wallraff
Photon-mediated interactions between atoms are of fundamental importance in quantum optics, quantum simulations and quantum information processing. The exchange of real and virtual
photons between atoms gives rise to non-trivial interactions the strength of which decreases rapidly with distance in three dimensions. Here we study much stronger photon mediated interactions using two superconducting qubits in an open onedimensional transmission line. Making use of the unique possibility to tune these qubits by more than a quarter of their transition frequency we observe both coherent exchange interactions at an effective separation of 3λ/4 and the creation of super- and sub-radiant states at a separation of one photon wavelength λ. This system is highly suitable for exploring collective atom/photon interactions and applications in quantum communication technology.

Input-output theory for waveguide QED with an ensemble of inhomogeneous atoms

  1. Kevin Lalumière,
  2. Barry C. Sanders,
  3. Arjan F. van Loo,
  4. Arkady Fedorov,
  5. Andreas Wallraff,
  6. and Alexandre Blais
We study the collective effects that emerge in waveguide quantum electrodynamics where several (artificial) atoms are coupled to a one-dimensional (1D) superconducting transmission
line. Since single microwave photons can travel without loss for a long distance along the line, real and virtual photons emitted by one atom can be reabsorbed or scattered by a second atom. Depending on the distance between the atoms, this collective effect can lead to super- and subradiance or to a coherent exchange-type interaction between the atoms. Changing the artificial atoms transition frequencies, something which can be easily done with superconducting qubits (two levels artificial atoms), is equivalent to changing the atom-atom separation and thereby opens the possibility to study the characteristics of these collective effects. To study this waveguide quantum electrodynamics system, we extend previous work and present an effective master equation valid for an ensemble of inhomogeneous atoms. Using input-output theory, we compute analytically and numerically the elastic and inelastic scattering and show how these quantities reveal information about collective effects. These theoretical results are compatible with recent experimental results using transmon qubits coupled to a superconducting one-dimensional transmission line [A.F. van Loo {\it et al.} (2013)].

Collective Suppression of Linewidths in Circuit QED

  1. Felix Nissen,
  2. Johannes M. Fink,
  3. Jonas A. Mlynek,
  4. Andreas Wallraff,
  5. and Jonathan Keeling
We report the experimental observation, and a theoretical explanation, of collective suppression of linewidths for multiple superconducting qubits coupled to a good cavity. This demonstrates
how strong qubit-cavity coupling can significantly modify the dephasing and dissipation processes that might be expected for individual qubits, and can potentially improve coherence times in many-body circuit QED.

Demonstrating W-type Entanglement of Dicke-States in Resonant Cavity Quantum Electrodynamics

  1. Jonas A. Mlynek,
  2. Abdufarrukh A. Abdumalikov Jr,
  3. Johannes M. Fink,
  4. Lars Steffen,
  5. Matthias Baur,
  6. Christian Lang,
  7. Arjan F. van Loo,
  8. and Andreas Wallraff
Nonlinearity and entanglement are two important properties by which physical systems can be identified as non-classical. We study the dynamics of the resonant interaction of up to N=3
two-level systems and a single mode of the electromagnetic field sharing a single excitation dynamically. We observe coherent vacuum Rabi oscillations and their nonlinear speed up by tracking the populations of all qubits and the resonator in time. We use quantum state tomography to show explicitly that the dynamics generates maximally entangled states of the W class in a time limited only by the collective interaction rate. We use an entanglement witness and the threetangle to characterize the state whose fidelity F=78% is limited in our experiments by crosstalk arising during the simultaneous qubit manipulations which is absent in a sequential approach with F=91%.