Coherent microwave photon mediated coupling between a semiconductor and a superconductor qubit

  1. P. Scarlino,
  2. D. J. van Woerkom,
  3. U. C. Mendes,
  4. J. V. Koski,
  5. A. J. Landig,
  6. C. K. Andersen,
  7. S. Gasparinetti,
  8. C. Reichl,
  9. W. Wegscheider,
  10. K. Ensslin,
  11. T. Ihn,
  12. A. Blais,
  13. and A. Wallraff
Semiconductor qubits rely on the control of charge and spin degrees of freedom of electrons or holes confined in quantum dots (QDs). They constitute a promising approach to quantum
information processing [1, 2], complementary to superconducting qubits [3]. Typically, semiconductor qubit-qubit coupling is short range [1, 2, 4, 5], effectively limiting qubit distance to the spatial extent of the wavefunction of the confined particle, which represents a significant constraint towards scaling to reach dense 1D or 2D arrays of QD qubits. Following the success of circuit quantum eletrodynamics [6], the strong coupling regime between the charge [7, 8] and spin [9, 10, 11] degrees of freedom of electrons confined in semiconducting QDs interacting with individual photons stored in a microwave resonator has recently been achieved. In this letter, we demonstrate coherent coupling between a superconducting transmon qubit and a semiconductor double quantum dot (DQD) charge qubit mediated by virtual microwave photon excitations in a tunable high-impedance SQUID array resonator acting as a quantum bus [12, 13, 14]. The transmon-charge qubit coherent coupling rate (∼21 MHz) exceeds the linewidth of both the transmon (∼0.8 MHz) and the DQD charge (∼3 MHz) qubit. By tuning the qubits into resonance for a controlled amount of time, we observe coherent oscillations between the constituents of this hybrid quantum system. These results enable a new class of experiments exploring the use of the two-qubit interactions mediated by microwave photons to create entangled states between semiconductor and superconducting qubits. The methods and techniques presented here are transferable to QD devices based on other material systems and can be beneficial for spin-based hybrid systems.

All-Microwave Control and Dispersive Readout of Gate-Defined Quantum Dot Qubits in Circuit Quantum Electrodynamics

  1. P. Scarlino,
  2. D. J. van Woerkom,
  3. A. Stockklauser,
  4. J. V. Koski,
  5. M. C. Collodo,
  6. S. Gasparinetti,
  7. C. Reichl,
  8. W. Wegscheider,
  9. T. Ihn,
  10. K. Ensslin,
  11. and A. Wallraff
Developing fast and accurate control and readout techniques is an important challenge in quantum information processing with semiconductor qubits. Here, we study the dynamics and the
coherence properties of a GaAs/AlGaAs double quantum dot (DQD) charge qubit strongly coupled to a high-impedance SQUID array resonator. We drive qubit transitions with synthesized microwave pulses and perform qubit readout through the state dependent frequency shift imparted by the qubit on the dispersively coupled resonator. We perform Rabi oscillation, Ramsey fringe, energy relaxation and Hahn-echo measurements and find significantly reduced decoherence rates down to γ2/2π∼3MHz corresponding to coherence times of up to T2∼50ns for charge states in gate defined quantum dot qubits.

Realizing Rapid, High-Fidelity, Single-Shot Dispersive Readout of Superconducting Qubits

  1. T. Walter,
  2. P. Kurpiers,
  3. S. Gasparinetti,
  4. P. Magnard,
  5. A. Potocnik,
  6. Y. Salathe,
  7. M. Pechal,
  8. M. Mondal,
  9. M. Oppliger,
  10. C. Eichler,
  11. and A. Wallraff
The speed of quantum gates and measurements is a decisive factor for the overall fidelity of quantum protocols when performed on physical qubits with finite coherence time. Reducing
the time required to distinguish qubit states with high fidelity is therefore a critical goal in quantum information science. The state-of-the-art readout of superconducting qubits is based on the dispersive interaction with a readout resonator. Here, we bring this technique to its current limit and demonstrate how the careful design of system parameters leads to fast and high-fidelity measurements without affecting qubit coherence. We achieve this result by increasing the dispersive interaction strength, by choosing an optimal linewidth of the readout resonator, by employing a Purcell filter, and by utilizing phase-sensitive parametric amplification. In our experiment, we measure 98.25% readout fidelity in only 48 ns, when minimizing read-out time, and 99.2% in 88 ns, when maximizing the fidelity, limited predominantly by the qubit lifetime of 7.6 us. The presented scheme is also expected to be suitable for integration into a multiplexed readout architecture.

A Measurement Protocol for the Topological Uhlmann Phase

  1. O. Viyuela,
  2. A. Rivas,
  3. S. Gasparinetti,
  4. A. Wallraff,
  5. S. Filipp,
  6. and M.A. Martin-Delgado
Topological insulators and superconductors at finite temperature can be characterised by the topological Uhlmann phase. However, the direct experimental measurement in condensed matter
systems has remained elusive. We explicitly demonstrate that the topological Uhlmann phase can be measured with the help of ancilla states in systems of entangled qubits that simulate a topological insulator. We propose a novel state-independent measurement protocol which does not involve prior knowledge of the system state. With this construction, otherwise unobservable phases carrying topological information about the system become accessible. This enables the measurement of a complete phase diagram including environmental effects. We explicitly consider a realization of our scheme using a circuit of superconducting qubits. This measurement scheme is extendible to interacting particles and topological models with a large number of bands.

Superconducting switch for fast on-chip routing of quantum microwave fields

  1. M. Pechal,
  2. J.-C. Besse,
  3. M. Mondal,
  4. M. Oppliger,
  5. S. Gasparinetti,
  6. and A. Wallraff
A switch capable of routing microwave signals at cryogenic temperatures is a desirable component for state-of-the-art experiments in many fields of applied physics, including but not
limited to quantum information processing, communication and basic research in engineered quantum systems. Conventional mechanical switches provide low insertion loss but disturb operation of dilution cryostats and the associated experiments by heat dissipation. Switches based on semiconductors or microelectromechanical systems have a lower thermal budget but are not readily integrated with current superconducting circuits. Here we design and test an on-chip switch built by combining tunable transmission-line resonators with microwave beam-splitters. The device is superconducting and as such dissipates a negligible amount of heat. It is compatible with current superconducting circuit fabrication techniques, operates with a bandwidth exceeding 100MHz, is capable of handling photon fluxes on the order of 105μs−1, equivalent to powers exceeding −90dBm, and can be switched within approximately 6−8ns. We successfully demonstrate operation of the device in the quantum regime by integrating it on a chip with a single-photon source and using it to route non-classical itinerant microwave fields at the single-photon level.