Generation of discord through a remote joint continuous variable measurement

  1. E. Zalys-Geller,
  2. A. Narla,
  3. S. Shankar,
  4. M. Hatridge,
  5. M. P. Silveri,
  6. K. Sliwa,
  7. Z. Leghtas,
  8. and M. H. Devoret
In quantum mechanics, continuously measuring an observable steers the system into one eigenstate of that observable. This property has interesting and useful consequences when the observable
is a joint property of two remotely separated qubits. In particular, if the measurement of the two-qubit joint observable is performed in a way that is blind to single-qubit information, quantum back-action generates correlation of the discord type even if the measurement is weak and inefficient. We demonstrate the ability to generate these quantum correlations in a circuit-QED setup by performing a weak joint readout of two remote, non-interacting, superconducting transmon qubits using the two non-degenerate modes of a Josephson Parametric Converter (JPC). Single-qubit information is erased from the output in the limit of large gain and with properly tailored cavity drive pulses. Our results of the measurement of discord are in quantitative agreement with theoretical predictions, and demonstrate the utility of the JPC as a which-qubit information eraser.

To catch and reverse a quantum jump mid-flight

  1. Z.K. Minev,
  2. S. O. Mundhada,
  3. S. Shankar,
  4. P. Reinhold,
  5. R. Gutierrez-Jauregui,
  6. R. J. Schoelkopf,
  7. M. Mirrahimi,
  8. H.J. Carmichael,
  9. and M.H. Devoret
A quantum system driven by a weak deterministic force while under strong continuous energy measurement exhibits quantum jumps between its energy levels. This celebrated phenomenon is
emblematic of the special nature of randomness in quantum physics. The times at which the jumps occur are reputed to be fundamentally unpredictable. However, certain classical phenomena, like tsunamis, while unpredictable in the long term, may possess a degree of predictability in the short term, and in some cases it may be possible to prevent a disaster by detecting an advance warning signal. Can there be, despite the indeterminism of quantum physics, a possibility to know if a quantum jump is about to occur or not? In this paper, we answer this question affirmatively by experimentally demonstrating that the completed jump from the ground to an excited state of a superconducting artificial atom can be tracked, as it follows its predictable „flight,“ by monitoring the population of an auxiliary level coupled to the ground state. Furthermore, we show that the completed jump is continuous, deterministic, and coherent. Exploiting this coherence, we catch and reverse a quantum jump mid-flight, thus preventing its completion. This real-time intervention is based on a particular lull period in the population of the auxiliary level, which serves as our advance warning signal. Our results, which agree with theoretical predictions essentially without adjustable parameters, support the modern quantum trajectory theory and provide new ground for the exploration of real-time intervention techniques in the control of quantum systems, such as early detection of error syndromes.

Hot non-equilibrium quasiparticles in transmon qubits

  1. K. Serniak,
  2. M. Hays,
  3. G. de Lange,
  4. S. Diamond,
  5. S. Shankar,
  6. L. D. Burkhart,
  7. L. Frunzio,
  8. M. Houzet,
  9. and M. H. Devoret
Non-equilibrium quasiparticle excitations degrade the performance of a variety of superconducting circuits. Understanding the energy distribution of these quasiparticles will yield
insight into their generation mechanisms, the limitations they impose on superconducting devices, and how to efficiently mitigate quasiparticle-induced qubit decoherence. To probe this energy distribution, we directly correlate qubit transitions with charge-parity switches in an offset-charge-sensitive transmon qubit, and find that quasiparticle-induced excitation events are the dominant mechanism behind the residual excited-state population in our samples. The observed quasiparticle distribution would limit T1 to ≈200 μs, which indicates that quasiparticle loss in our devices is on equal footing with all other loss mechanisms. Furthermore, the measured rate of quasiparticle-induced excitation events is greater than that of relaxation events, which signifies that the quasiparticles are more energetic than would be predicted from a thermal distribution describing their apparent density.

Deterministic remote entanglement of superconducting circuits through microwave two-photon transitions

  1. P. Campagne-Ibarcq,
  2. E. Zalys-Geller,
  3. A. Narla,
  4. S. Shankar,
  5. P. Reinhold,
  6. L. D. Burkhart,
  7. C. J. Axline,
  8. W. Pfaff,
  9. L. Frunzio,
  10. R. J. Schoelkopf,
  11. and M. H. Devoret
Large-scale quantum information processing networks will most probably require the entanglement of distant systems that do not interact directly. This can be done by performing entangling
gates between standing information carriers, used as memories or local computational resources, and flying ones, acting as quantum buses. We report the deterministic entanglement of two remote transmon qubits by Raman stimulated emission and absorption of a traveling photon wavepacket. We achieve a Bell state fidelity of 73 %, well explained by losses in the transmission line and decoherence of each qubit.

Driving forbidden transitions in the fluxonium artificial atom

  1. U. Vool,
  2. A. Kou,
  3. W. C. Smith,
  4. N. E. Frattini,
  5. K. Serniak,
  6. P. Reinhold,
  7. I. M. Pop,
  8. S. Shankar,
  9. L. Frunzio,
  10. S. M. Girvin,
  11. and M. H. Devoret
Atomic systems display a rich variety of quantum dynamics due to the different possible symmetries obeyed by the atoms. These symmetries result in selection rules that have been essential
for the quantum control of atomic systems. Superconducting artificial atoms are mainly governed by parity symmetry. Its corresponding selection rule limits the types of quantum systems that can be built using electromagnetic circuits at their optimal coherence operation points („sweet spots“). Here, we use third-order nonlinear coupling between the artificial atom and its readout resonator to drive transitions forbidden by the parity selection rule for linear coupling to microwave radiation. A Lambda-type system emerges from these newly accessible transitions, implemented here in the fluxonium artificial atom coupled to its „antenna“ resonator. We demonstrate coherent manipulation of the fluxonium artificial atom at its sweet spot by stimulated Raman transitions. This type of transition enables the creation of new quantum operations, such as the control and readout of physically protected artificial atoms.

Coherent oscillations in a quantum manifold stabilized by dissipation

  1. S. Touzard,
  2. A. Grimm,
  3. Z. Leghtas,
  4. S. O. Mundhada,
  5. P. Reinhold,
  6. R. Heeres,
  7. C. Axline,
  8. M. Reagor,
  9. K. Chou,
  10. J. Blumoff,
  11. K. M. Sliwa,
  12. S. Shankar,
  13. L. Frunzio,
  14. R. J. Schoelkopf,
  15. M. Mirrahimi,
  16. and M.H. Devoret
The quantum Zeno effect (QZE) is the apparent freezing of a quantum system in one state under the influence of a continuous observation. It has been further generalized to the stabilization
of a manifold spanned by multiple quantum states. In that case, motion inside the manifold can subsist and can even be driven by the combination of a dissipative stabilization and an external force. A superconducting microwave cavity that exchanges pairs of photons with its environments constitutes an example of a system which displays a stabilized manifold spanned by Schr\“odinger cat states. For this driven-dissipative system, the quantum Zeno stabilization transforms a simple linear drive into photon number parity oscillations within the stable cat state manifold. Without this stabilization, the linear drive would trivially displace the oscillator state and push it outside of the manifold. However, the observation of this effect is experimentally challenging. On one hand, the adiabaticity condition requires the oscillations to be slow compared to the manifold stabilization rate. On the other hand, the oscillations have to be fast compared with the coherence timescales within the stabilized manifold. Here, we implement the stabilization of a manifold spanned by Schr\“odinger cat states at a rate that exceeds the main source of decoherence by two orders of magnitude, and we show Zeno-driven coherent oscillations within this manifold. While related driven manifold dynamics have been proposed and observed, the non-linear dissipation specific to our experiment adds a crucial element: any drift out of the cat state manifold is projected back into it. The coherent oscillations of parity observed in this work are analogous to the Rabi rotation of a qubit protected against phase-flips and are likely to become part of the toolbox in the construction of a fault-tolerant logical qubit.

3-Wave Mixing Josephson Dipole Element

  1. N. E. Frattini,
  2. U. Vool,
  3. S. Shankar,
  4. A. Narla,
  5. K. M. Sliwa,
  6. and M. H. Devoret
Parametric conversion and amplification based on three-wave mixing are powerful primitives for efficient quantum operations. For superconducting qubits, such operations can be realized
with a quadrupole Josephson junction element, the Josephson Ring Modulator (JRM), which behaves as a loss-less three-wave mixer. However, combining multiple quadrupole elements is a difficult task so it would be advantageous to have a pure three-wave dipole element that could be tessellated for increased power handling and/or information throughput. Here, we present a novel dipole circuit element with third-order nonlinearity, which implements three-wave mixing while minimizing harmful Kerr terms present in the JRM. Experimental results for a non-degenerate amplifier based on the proposed pure third-order nonlinearity are reported.

Generating higher order quantum dissipation from lower order parametric processes

  1. S. O. Mundhada,
  2. A. Grimm,
  3. S. Touzard,
  4. U. Vool,
  5. S. Shankar,
  6. M.H. Devoret,
  7. and M. Mirrahimi
Stabilization of quantum manifolds is at the heart of error-protected quantum information storage and manipulation. Nonlinear driven-dissipative processes achieve such stabilization
in a hardware efficient manner. Josephson circuits with parametric pump drives implement these nonlinear interactions. In this article, we propose a scheme to engineer a four-photon drive and dissipation on a harmonic oscillator by cascading experimentally demonstrated two-photon processes. This would stabilize a four-dimensional degenerate manifold in a superconducting resonator. We analyze the performance of the scheme using numerical simulations of a realizable system with experimentally achievable parameters.

Continuous quantum nondemolition measurement of the transverse component of a qubit

  1. U. Vool,
  2. S. Shankar,
  3. S. O. Mundhada,
  4. N. Ofek,
  5. A. Narla,
  6. K. Sliwa,
  7. E. Zalys-Geller,
  8. Y. Liu,
  9. L. Frunzio,
  10. R. J. Schoelkopf,
  11. S. M. Girvin,
  12. and M. H. Devoret
Quantum jumps of a qubit are usually observed between its energy eigenstates, also known as its longitudinal pseudo-spin component. Is it possible, instead, to observe quantum jumps
between the transverse superpositions of these eigenstates? We answer positively by presenting the first continuous quantum nondemolition measurement of the transverse component of an individual qubit. In a circuit QED system irradiated by two pump tones, we engineer an effective Hamiltonian whose eigenstates are the transverse qubit states, and a dispersive measurement of the corresponding operator. Such transverse component measurements are a useful tool in the driven-dissipative operation engineering toolbox, which is central to quantum simulation and quantum error correction.

Robust concurrent remote entanglement between two superconducting qubits

  1. A. Narla,
  2. S. Shankar,
  3. M. Hatridge,
  4. Z. Leghtas,
  5. K. M. Sliwa,
  6. E. Zalys-Geller,
  7. S. O. Mundhada,
  8. W. Pfaff,
  9. L. Frunzio,
  10. R. J. Schoelkopf,
  11. and M. H. Devoret
Entangling two remote quantum systems which never interact directly is an essential primitive in quantum information science. In quantum optics, remote entanglement experiments provides
one approach for loophole-free tests of quantum non-locality and form the basis for the modular architecture of quantum computing. In these experiments, the two qubits, Alice and Bob, are each first entangled with a traveling photon. Subsequently, the two photons paths interfere on a beam-splitter before being directed to single-photon detectors. Such concurrent remote entanglement protocols using discrete Fock states can be made robust to photon losses, unlike schemes that rely on continuous variable states. This robustness arises from heralding the entanglement on the detection of events which can be selected for their unambiguity. However, efficiently detecting single photons is challenging in the domain of superconducting quantum circuits because of the low energy of microwave quanta. Here, we report the realization of a novel microwave photon detector implemented in the circuit quantum electrodynamics (cQED) framework of superconducting quantum information, and the demonstration, with this detector, of a robust form of concurrent remote entanglement. Our experiment opens the way for the implementation of the modular architecture of quantum computation with superconducting qubits.