Direct implementation of a perceptron in superconducting circuit quantum hardware

  1. Marek Pechal,
  2. Federico Roy,
  3. Samuel A. Wilkinson,
  4. Gian Salis,
  5. Max Werninghaus,
  6. Michael J. Hartmann,
  7. and Stefan Filipp
The utility of classical neural networks as universal approximators suggests that their quantum analogues could play an important role in quantum generalizations of machine-learning
methods. Inspired by the proposal in [Torrontegui and GarcĂ­a-Ripoll 2019 EPL 125 30004], we demonstrate a superconducting qubit implementation of an adiabatic controlled gate, which generalizes the action of a classical perceptron as the basic building block of a quantum neural network. We show full control over the steepness of the perceptron activation function, the input weight and the bias by tuning the adiabatic gate length, the coupling between the qubits and the frequency of the applied drive, respectively. In its general form, the gate realizes a multi-qubit entangling operation in a single step, whose decomposition into single- and two-qubit gates would require a number of gates that is exponential in the number of qubits. Its demonstrated direct implementation as perceptron in quantum hardware may therefore lead to more powerful quantum neural networks when combined with suitable additional standard gates.

Single Shot i-Toffoli Gate in Dispersively Coupled Superconducting Qubits

  1. Aneirin J. Baker,
  2. Gerhard B. P. Huber,
  3. Niklas J. Glaser,
  4. Federico Roy,
  5. Ivan Tsitsilin,
  6. Stefan Filipp,
  7. and Michael J. Hartmann
Quantum algorithms often benefit from the ability to execute multi-qubit (>2) gates. To date such multi-qubit gates are typically decomposed into single- and two-qubit gates, particularly
in superconducting qubit architectures. The ability to perform multi-qubit operations in a single step could vastly improve the fidelity and execution time of many algorithms. Here, we propose a single shot method for executing an i-Toffoli gate, a three-qubit gate gate with two control and one target qubit, using currently existing superconducting hardware. We show numerical evidence for a process fidelity over 98% and a gate time of 500 ns for superconducting qubits interacting via tunable couplers. Our method can straight forwardly be extended to implement gates with more than two control qubits at similar fidelities.

An integrated tool-set for Control, Calibration and Characterization of quantum devices applied to superconducting qubits

  1. Nicolas Wittler,
  2. Federico Roy,
  3. Kevin Pack,
  4. Max Werninghaus,
  5. Anurag Saha Roy,
  6. Daniel J. Egger,
  7. Stefan Filipp,
  8. Frank K. Wilhelm,
  9. and Shai Machnes
Efforts to scale-up quantum computation have reached a point where the principal limiting factor is not the number of qubits, but the entangling gate infidelity. However, a highly detailedsystem characterization required to understand the underlying errors is an arduous process and impractical with increasing chip size. Open-loop optimal control techniques allow for the improvement of gates but are limited by the models they are based on. To rectify the situation, we provide a new integrated open-source tool-set for Control, Calibration and Characterization (C3), capable of open-loop pulse optimization, model-free calibration, model fitting and refinement. We present a methodology to combine these tools to find a quantitatively accurate system model, high-fidelity gates and an approximate error budget, all based on a high-performance, feature-rich simulator. We illustrate our methods using fixed-frequency superconducting qubits for which we learn model parameters to an accuracy of <1% and derive a coherence limited cross-resonance (CR) gate that achieves 99.6% fidelity without need for calibration. [/expand]

Leakage reduction in fast superconducting qubit gates via optimal control

  1. Max Werninghaus,
  2. Daniel J. Egger,
  3. Federico Roy,
  4. Shai Machnes,
  5. Frank K. Wilhelm,
  6. and Stefan Filipp
Reaching high speed, high fidelity qubit operations requires precise control over the shape of the underlying pulses. For weakly anharmonic systems, such as superconducting transmon
qubits, short gates lead to leakage to states outside of the computational subspace. Control pulses designed with open-loop optimal control may reduce such leakage. However, model inaccuracies can severely limit the usability of such pulses. We implemented a closed-loop optimization that simultaneously adapts all control parameters based on measurements of a cost function built from Clifford gates. By parameterizing pulses with a piecewise-constant representation that matches the capabilities of the control hardware we create a 4.16 ns single-qubit pulse with 99.76% fidelity and 0.044% leakage. This is a seven-fold reduction of the leakage rate of the best DRAG pulse we have calibrated at such short durations on the same system.