Protected Fluxonium Control with Sub-harmonic Parametric Driving

  1. Johannes Schirk,
  2. Florian Wallner,
  3. Longxiang Huang,
  4. Ivan Tsitsilin,
  5. Niklas Bruckmoser,
  6. Leon Koch,
  7. David Bunch,
  8. Niklas J. Glaser,
  9. Gerhard B. P. Huber,
  10. Martin Knudsen,
  11. Gleb Krylov,
  12. Achim Marx,
  13. Frederik Pfeiffer,
  14. Lea Richard,
  15. Federico A. Roy,
  16. João H. Romeiro,
  17. Malay Singh,
  18. Lasse Södergren,
  19. Etienne Dionis,
  20. Dominique Sugny,
  21. Max Werninghaus,
  22. Klaus Liegener,
  23. Christian M. F. Schneider,
  24. and Stefan Filipp
Protecting qubits from environmental noise while maintaining strong coupling for fast high-fidelity control is a central challenge for quantum information processing. Here, we demonstrate
a novel control scheme for superconducting fluxonium qubits that eliminates qubit decay through the control channel by reducing the environmental density of states at the transition frequency. Adding a low-pass filter on the flux line allows for flux-biasing and at the same time coherently controlling the fluxonium qubit by parametrically driving it at integer fractions of its transition frequency. We compare the filtered to the unfiltered configuration and find a five times longer T1, and ten times improved T2-echo time in the protected case. We demonstrate coherent control with up to 11-photon sub-harmonic drives, highlighting the strong non-linearity of the fluxonium potential. We experimentally determine Rabi frequencies and drive-induced frequency shifts in excellent agreement with numerical and analytical calculations. Furthermore, we show the equivalence of a 3-photon sub-harmonic drive to an on-resonance drive by benchmarking sub-harmonic gate fidelities above 99.94 %. These results open up a scalable path for full qubit control via a single protected channel, strongly suppressing qubit decoherence caused by control lines.

Parity-dependent state transfer for direct entanglement generation

  1. Federico A. Roy,
  2. João H. Romeiro,
  3. Leon Koch,
  4. Ivan Tsitsilin,
  5. Johannes Schirk,
  6. Niklas J. Glaser,
  7. Niklas Bruckmoser,
  8. Malay Singh,
  9. Franz X. Haslbeck,
  10. Gerhard B. P. Huber,
  11. Gleb Krylov,
  12. Achim Marx,
  13. Frederik Pfeiffer,
  14. Christian M. F. Schneider,
  15. Christian Schweizer,
  16. Florian Wallner,
  17. David Bunch,
  18. Lea Richard,
  19. Lasse Södergren,
  20. Klaus Liegener,
  21. Max Werninghaus,
  22. and Stefan Filipp
As quantum information technologies advance they face challenges in scaling and connectivity. In particular, two necessities remain independent of the technological implementation:
the need for connectivity between distant qubits and the need for efficient generation of entanglement. Perfect State Transfer is a technique which realises the time optimal transfer of a quantum state between distant nodes of qubit lattices with only nearest-neighbour couplings, hence providing an important tool to improve device connectivity. Crucially, the transfer protocol results in effective parity-dependent non-local interactions, extending its utility to the efficient generation of entangled states. Here, we experimentally demonstrate Perfect State Transfer and the generation of multi-qubit entanglement on a chain of superconducting qubits. The system consists of six fixed-frequency transmon qubits connected by tunable couplers, where the couplings are controlled via parametric drives. By simultaneously activating all couplings and engineering their individual amplitudes and frequencies, we implement Perfect State Transfer on up to six qubits and observe the respective single-excitation dynamics for different initial states. We then apply the protocol in the presence of multiple excitations and verify its parity-dependent property, where the number of excitations within the chain controls the phase of the transferred state. Finally, we utilise this property to prepare a multi-qubit Greenberger-Horne-Zeilinger state using only a single transfer operation, demonstrating its application for efficient entanglement generation.

Efficient decoupling of a non-linear qubit mode from its environment

  1. Frederik Pfeiffer,
  2. Max Werninghaus,
  3. Christian Schweizer,
  4. Niklas Bruckmoser,
  5. Leon Koch,
  6. Niklas J. Glaser,
  7. Gerhard Huber,
  8. David Bunch,
  9. Franz X. Haslbeck,
  10. M. Knudsen,
  11. Gleb Krylov,
  12. Klaus Liegener,
  13. Achim Marx,
  14. Lea Richard,
  15. João H. Romeiro,
  16. Federico Roy,
  17. Johannes Schirk,
  18. Christian Schneider,
  19. Malay Singh,
  20. Lasse Södergren,
  21. Ivan Tsitsilin,
  22. Florian Wallner,
  23. Carlos A. Riofrío,
  24. and Stefan Filipp
To control and measure the state of a quantum system it must necessarily be coupled to external degrees of freedom. This inevitably leads to spontaneous emission via the Purcell effect,
photon-induced dephasing from measurement back-action, and errors caused by unwanted interactions with nearby quantum systems. To tackle this fundamental challenge, we make use of the design flexibility of superconducting quantum circuits to form a multi-mode element — an artificial molecule — with symmetry-protected modes. The proposed circuit consists of three superconducting islands coupled to a central island via Josephson junctions. It exhibits two essential non-linear modes, one of which is flux-insensitive and used as the protected qubit mode. The second mode is flux-tunable and serves via a cross-Kerr type coupling as a mediator to control the dispersive coupling of the qubit mode to the readout resonator. We demonstrate the Purcell protection of the qubit mode by measuring relaxation times that are independent of the mediated dispersive coupling. We show that the coherence of the qubit is not limited by photon-induced dephasing when detuning the mediator mode from the readout resonator and thereby reducing the dispersive coupling. The resulting highly protected qubit with tunable interactions may serve as a basic building block of a scalable quantum processor architecture, in which qubit decoherence is strongly suppressed.

Controlled-controlled-phase gates for superconducting qubits mediated by a shared tunable coupler

  1. Niklas J. Glaser,
  2. Federico Roy,
  3. and Stefan Filipp
Applications for noisy intermediate-scale quantum computing devices rely on the efficient entanglement of many qubits to reach a potential quantum advantage. Although entanglement is
typically generated using two-qubit gates, direct control of strong multi-qubit interactions can improve the efficiency of the process. Here, we investigate a system of three superconducting transmon-type qubits coupled via a single flux-tunable coupler. Tuning the frequency of the coupler by adiabatic flux pulses enables us to control the conditional energy shifts between the qubits and directly realize multi-qubit interactions. To accurately adjust the resulting controlled relative phases, we describe a gate protocol involving refocusing pulses and adjustable interaction times. This enables the implementation of the full family of pairwise controlled-phase (CPHASE) and controlled-controlled-phase (CCPHASE) gates. Numerical simulations result in fidelities around 99 % and gate times below 300 ns using currently achievable system parameters and decoherence rates.

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.