Demonstration of an All-Microwave Controlled-Phase Gate between Far Detuned Qubits

  1. S. Krinner,
  2. P. Kurpiers,
  3. B. Royer,
  4. P. Magnard,
  5. I. Tsitsilin,
  6. J.-C. Besse,
  7. A. Remm,
  8. A. Blais,
  9. and A. Wallraff
A challenge in building large-scale superconducting quantum processors is to find the right balance between coherence, qubit addressability, qubit-qubit coupling strength, circuit complexity
and the number of required control lines. Leading all-microwave approaches for coupling two qubits require comparatively few control lines and benefit from high coherence but suffer from frequency crowding and limited addressability in multi-qubit settings. Here, we overcome these limitations by realizing an all-microwave controlled-phase gate between two transversely coupled transmon qubits which are far detuned compared to the qubit anharmonicity. The gate is activated by applying a single, strong microwave tone to one of the qubits, inducing a coupling between the two-qubit |f,g⟩ and |g,e⟩ states, with |g⟩, |e⟩, and |f⟩ denoting the lowest energy states of a transmon qubit. Interleaved randomized benchmarking yields a gate fidelity of 97.5±0.3% at a gate duration of 126ns, with the dominant error source being decoherence. We model the gate in presence of the strong drive field using Floquet theory and find good agreement with our data. Our gate constitutes a promising alternative to present two-qubit gates and could have hardware scaling advantages in large-scale quantum processors as it neither requires additional drive lines nor tunable couplers.

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.

Characterizing the attenuation of coaxial and rectangular microwave-frequency waveguides at cryogenic temperatures

  1. P. Kurpiers,
  2. T. Walter,
  3. P. Magnard,
  4. Y. Salathe,
  5. and A. Wallraff
Low-loss waveguides are required for quantum communication at distances beyond the chip-scale for any low-temperature solid-state implementation of quantum information processors. We
measure and analyze the attenuation constant of commercially available microwave-frequency waveguides down to millikelvin temperatures and single photon levels. More specifically, we characterize the frequency-dependent loss of a range of coaxial and rectangular microwave waveguides down to 0.005dB/m using a resonant-cavity technique. We study the loss tangent and relative permittivity of commonly used dielectric waveguide materials by measurements of the internal quality factors and their comparison with established loss models. The results of our characterization are relevant for accurately predicting the signal levels at the input of cryogenic devices, for reducing the loss in any detection chain, and for estimating the heat load induced by signal dissipation in cryogenic systems.

Measurement of geometric dephasing using a superconducting qubit

  1. S. Berger,
  2. M. Pechal,
  3. P. Kurpiers,
  4. A.A. Abdumalikov,
  5. C. Eichler,
  6. J. A. Mlynek,
  7. A. Shnirman,
  8. Yuval Gefen,
  9. A. Wallraff,
  10. and S. Filipp
A quantum system interacting with its environment is subject to dephasing which ultimately destroys the information it holds. Using a superconducting qubit, we experimentally show that
this dephasing has both dynamic and geometric origins. It is found that geometric dephasing, which is present even in the adiabatic limit and when no geometric phase is acquired, can either reduce or restore coherence depending on the orientation of the path the qubit traces out in its projective Hilbert space. It accompanies the evolution of any system in Hilbert space subjected to noise.

Exploring Interacting Quantum Many-Body Systems by Experimentally Creating Continuous Matrix Product States in Superconducting Circuits

  1. C. Eichler,
  2. J. Mlynek,
  3. J. Butscher,
  4. P. Kurpiers,
  5. K. Hammerer,
  6. T. J. Osborne,
  7. and A. Wallraff
Improving the understanding of strongly correlated quantum many body systems such as gases of interacting atoms or electrons is one of the most important challenges in modern condensed
matter physics, materials research and chemistry. Enormous progress has been made in the past decades in developing both classical and quantum approaches to calculate, simulate and experimentally probe the properties of such systems. In this work we use a combination of classical and quantum methods to experimentally explore the properties of an interacting quantum gas by creating experimental realizations of continuous matrix product states – a class of states which has proven extremely powerful as a variational ansatz for numerical simulations. By systematically preparing and probing these states using a circuit quantum electrodynamics (cQED) system we experimentally determine a good approximation to the ground-state wave function of the Lieb-Liniger Hamiltonian, which describes an interacting Bose gas in one dimension. Since the simulated Hamiltonian is encoded in the measurement observable rather than the controlled quantum system, this approach has the potential to apply to exotic models involving multicomponent interacting fields. Our findings also hint at the possibility of experimentally exploring general properties of matrix product states and entanglement theory. The scheme presented here is applicable to a broad range of systems exploiting strong and tunable light-matter interactions.

Digital quantum simulation of spin models with circuit quantum electrodynamics

  1. Y. Salathé,
  2. M. Mondal,
  3. M. Oppliger,
  4. J. Heinsoo,
  5. P. Kurpiers,
  6. A. Potočnik,
  7. A. Mezzacapo,
  8. U. Las Heras,
  9. L. Lamata,
  10. E. Solano,
  11. S. Filipp,
  12. and A. Wallraff
Systems of interacting quantum spins show a rich spectrum of quantum phases and display interesting many-body dynamics. Computing characteristics of even small systems on conventional
computers poses significant challenges. A quantum simulator has the potential to outperform standard computers in calculating the evolution of complex quantum systems. Here, we perform a digital quantum simulation of the paradigmatic Heisenberg and Ising interacting spin models using a two transmon-qubit circuit quantum electrodynamics setup. We make use of the exchange interaction naturally present in the simulator to construct a digital decomposition of the model-specific evolution and extract its full dynamics. This approach is universal and efficient, employing only resources which are polynomial in the number of spins and indicates a path towards the controlled simulation of general spin dynamics in superconducting qubit platforms.

Realization of Deterministic Quantum Teleportation with Solid State Qubits

  1. L. Steffen,
  2. A. Fedorov,
  3. M. Oppliger,
  4. Y. Salathe,
  5. P. Kurpiers,
  6. M. Baur,
  7. G. Puebla-Hellmann,
  8. C. Eichler,
  9. and A. Wallraff
Transferring the state of an information carrier from a sender to a receiver is an essential primitive in both classical and quantum communication and information processing. In a quantum
process known as teleportation the unknown state of a quantum bit can be relayed to a distant party using shared entanglement and classical information. Here we present experiments in a solid-state system based on superconducting quantum circuits demonstrating the teleportation of the state of a qubit at the macroscopic scale. In our experiments teleportation is realized deterministically with high efficiency and achieves a high rate of transferred qubit states. This constitutes a significant step towards the realization of repeaters for quantum communication at microwave frequencies and broadens the tool set for quantum information processing with superconducting circuits.