Universal fast flux control of a coherent, low-frequency qubit

  1. Helin Zhang,
  2. Srivatsan Chakram,
  3. Tanay Roy,
  4. Nathan Earnest,
  5. Yao Lu,
  6. Ziwen Huang,
  7. Daniel Weiss,
  8. Jens Koch,
  9. and David I. Schuster
The extit{heavy-fluxonium} circuit is a promising building block for superconducting quantum processors due to its long relaxation and dephasing time at the half-flux frustration
point. However, the suppressed charge matrix elements and low transition frequency have made it challenging to perform fast single-qubit gates using standard protocols. We report on new protocols for reset, fast coherent control, and readout, that allow high-quality operation of the qubit with a 14 MHz transition frequency, an order of magnitude lower in energy than the ambient thermal energy scale. We utilize higher levels of the fluxonium to initialize the qubit with 97\% fidelity, corresponding to cooling it to 190 μK. We realize high-fidelity control using a universal set of single-cycle flux gates, which are comprised of directly synthesizable fast pulses, while plasmon-assisted readout is used for measurements. On a qubit with T1,T2e∼~300~μs, we realize single-qubit gates in 20−60~ns with an average gate fidelity of 99.8% as characterized by randomized benchmarking.

Universal stabilization of a parametrically coupled qubit

  1. Yao Lu,
  2. Srivatsan Chakram,
  3. Nelson Leung,
  4. Nathan Earnest,
  5. Ravi K. Naik,
  6. Ziwen Huang,
  7. Peter Groszkowski,
  8. Eliot Kapit,
  9. Jens Koch,
  10. and David I. Schuster
We autonomously stabilize arbitrary states of a qubit through parametric modulation of the coupling between a fixed frequency qubit and resonator. The coupling modulation is achieved
with a tunable coupler design, in which the qubit and the resonator are connected in parallel to a superconducting quantum interference device. This allows for quasi-static tuning of the qubit-cavity coupling strength from 12 MHz to more than 300 MHz. Additionally, the coupling can be dynamically modulated, allowing for single photon exchange in 6 ns. Qubit coherence times exceeding 20 μs are maintained over the majority of the range of tuning, limited primarily by the Purcell effect. The parametric stabilization technique realized using the tunable coupler involves engineering the qubit bath through a combination of photon non-conserving sideband interactions realized by flux modulation, and direct qubit Rabi driving. We demonstrate that the qubit can be stabilized to arbitrary states on the Bloch sphere with a worst-case fidelity exceeding 80 %.

Realization of a Λ system with metastable states of a capacitively-shunted fluxonium

  1. Nathan Earnest,
  2. Srivatsan Chakram,
  3. Yao Lu,
  4. Nicholas Irons,
  5. Ravi K. Naik,
  6. Nelson Leung,
  7. Jay Lawrence,
  8. Jens Koch,
  9. and David I. Schuster
We realize a Λ system in a superconducting circuit, with metastable states exhibiting lifetimes up to 7ms. We exponentially suppress the tunneling matrix elements involved in spontaneous
energy relaxation by creating a „heavy“ fluxonium, realized by adding a capacitive shunt to the original circuit design. The device allows for both cavity-assisted and direct fluorescent readout, as well as state preparation schemes akin to optical pumping. Since direct transitions between the metastable states are strongly suppressed, we utilize Raman transitions for coherent manipulation of the states.