Digitized adiabatic quantum computing with a superconducting circuit

  1. R. Barends,
  2. A. Shabani,
  3. L. Lamata,
  4. J. Kelly,
  5. A. Mezzacapo,
  6. U. Las Heras,
  7. R. Babbush,
  8. A. G. Fowler,
  9. B. Campbell,
  10. Yu Chen,
  11. Z. Chen,
  12. B. Chiaro,
  13. A. Dunsworth,
  14. E. Jeffrey,
  15. E. Lucero,
  16. A. Megrant,
  17. J. Y. Mutus,
  18. M. Neeley,
  19. C. Neill,
  20. P. J. J. O'Malley,
  21. C. Quintana,
  22. P. Roushan,
  23. D. Sank,
  24. A. Vainsencher,
  25. J. Wenner,
  26. T. C. White,
  27. E. Solano,
  28. H. Neven,
  29. and John M. Martinis
A major challenge in quantum computing is to solve general problems with limited physical hardware. Here, we implement digitized adiabatic quantum computing, combining the generality
of the adiabatic algorithm with the universality of the digital approach, using a superconducting circuit with nine qubits. We probe the adiabatic evolutions, and quantify the success of the algorithm for random spin problems. We find that the system can approximate the solutions to both frustrated Ising problems and problems with more complex interactions, with a performance that is comparable. The presented approach is compatible with small-scale systems as well as future error-corrected quantum computers.

Violating the Bell-Leggett-Garg inequality with weak measurement of an entangled state

  1. T. C. White,
  2. J. Y. Mutus,
  3. J. Dressel,
  4. J. Kelly,
  5. R. Barends,
  6. E. Jeffrey,
  7. D. Sank,
  8. A. Megrant,
  9. B. Campbell,
  10. Yu Chen,
  11. Z. Chen,
  12. B. Chiaro,
  13. A. Dunsworth,
  14. I.-C. Hoi,
  15. C. Neill,
  16. P. J. J. O'Malley,
  17. P. Roushan,
  18. A. Vainsencher,
  19. J. Wenner,
  20. A. N. Korotkov,
  21. and John M. Martinis
Since the inception of quantum mechanics, its validity as a complete description of reality has been challenged due to predictions that defy classical intuition. For many years it was
unclear whether predictions like entanglement and projective measurement represented real phenomena or artifacts of an incomplete model. Bell inequalities (BI) provided the first quantitative test to distinguish between quantum entanglement and a yet undiscovered classical hidden variable theory. The Leggett-Garg inequality (LGI) provides a similar test for projective measurement, and more recently has been adapted to include variable strength measurements to study the process of measurement itself. Here we probe the intersection of both entanglement and measurement through the lens of the hybrid Bell-Leggett-Garg inequality (BLGI). By correlating data from ancilla-based weak measurements and direct projective measurements, we for the first time quantify the effect of measurement strength on entanglement collapse. Violation of the BLGI, which we achieve only at the weakest measurement strengths, offers compelling evidence of the completeness of quantum mechanics while avoiding several loopholes common to previous experimental tests. This uniquely quantum result significantly constrains the nature of any possible classical theory of reality. Additionally, we demonstrate that with sufficient scale and fidelity, a universal quantum processor can be used to study richer fundamental physics.

Traveling wave parametric amplifier with Josephson junctions using minimal resonator phase matching

  1. T. C. White,
  2. J. Y. Mutus,
  3. I.-C. Hoi,
  4. R. Barends,
  5. B. Campbell,
  6. Yu Chen,
  7. Z. Chen,
  8. B. Chiaro,
  9. A. Dunsworth,
  10. E. Jeffrey,
  11. J. Kelly,
  12. A. Megrant,
  13. C. Neill,
  14. P. J. J. O'Malley,
  15. P. Roushan,
  16. D. Sank,
  17. A. Vainsencher,
  18. J. Wenner,
  19. S. Chaudhuri,
  20. J. Gao,
  21. and John M. Martinis
Josephson parametric amplifiers have become a critical tool in superconducting device physics due to their high gain and quantum-limited noise. Traveling wave parametric amplifiers
(TWPAs) promise similar noise performance while allowing for significant increases in both bandwidth and dynamic range. We present a TWPA device based on an LC-ladder transmission line of Josephson junctions and parallel plate capacitors using low-loss amorphous silicon dielectric. Crucially, we have inserted λ/4 resonators at regular intervals along the transmission line in order to maintain the phase matching condition between pump, signal, and idler and increase gain. We achieve an average gain of 12\,dB across a 4\,GHz span, along with an average saturation power of -92\,dBm with noise approaching the quantum limit.

Digital quantum simulation of fermionic models with a superconducting circuit

  1. R. Barends,
  2. L. Lamata,
  3. J. Kelly,
  4. L. García-Álvarez,
  5. A. G. Fowler,
  6. A. Megrant,
  7. E. Jeffrey,
  8. T. C. White,
  9. D. Sank,
  10. J. Y. Mutus,
  11. B. Campbell,
  12. Yu Chen,
  13. Z. Chen,
  14. B. Chiaro,
  15. A. Dunsworth,
  16. I.-C. Hoi,
  17. C. Neill,
  18. P. J. J. O'Malley,
  19. C. Quintana,
  20. P. Roushan,
  21. A. Vainsencher,
  22. J. Wenner,
  23. E. Solano,
  24. and John M. Martinis
Simulating quantum physics with a device which itself is quantum mechanical, a notion Richard Feynman originated, would be an unparallelled computational resource. However, the universal
quantum simulation of fermionic systems is daunting due to their particle statistics, and Feynman left as an open question whether it could be done, because of the need for non-local control. Here, we implement fermionic interactions with digital techniques in a superconducting circuit. Focusing on the Hubbard model, we perform time evolution with constant interactions as well as a dynamic phase transition with up to four fermionic modes encoded in four qubits. The implemented digital approach is universal and allows for the efficient simulation of fermions in arbitrary spatial dimensions. We use in excess of 300 single-qubit and two-qubit gates, and reach global fidelities which are limited by gate errors. This demonstration highlights the feasibility of the digital approach and opens a viable route towards analog-digital quantum simulation of interacting fermions and bosons in large-scale solid state systems.

State preservation by repetitive error detection in a superconducting quantum circuit

  1. J. Kelly,
  2. R. Barends,
  3. A. G. Fowler,
  4. A. Megrant,
  5. E. Jeffrey,
  6. T. C. White,
  7. D. Sank,
  8. J. Y. Mutus,
  9. B. Campbell,
  10. Yu Chen,
  11. Z. Chen,
  12. B. Chiaro,
  13. A. Dunsworth,
  14. I.-C. Hoi,
  15. C. Neill,
  16. P. J. J. O'Malley,
  17. C. Quintana,
  18. P. Roushan,
  19. A. Vainsencher,
  20. J. Wenner,
  21. A. N. Cleland,
  22. and John M. Martinis
Quantum computing becomes viable when a quantum state can be preserved from environmentally-induced error. If quantum bits (qubits) are sufficiently reliable, errors are sparse and
quantum error correction (QEC) is capable of identifying and correcting them. Adding more qubits improves the preservation by guaranteeing increasingly larger clusters of errors will not cause logical failure – a key requirement for large-scale systems. Using QEC to extend the qubit lifetime remains one of the outstanding experimental challenges in quantum computing. Here, we report the protection of classical states from environmental bit-flip errors and demonstrate the suppression of these errors with increasing system size. We use a linear array of nine qubits, which is a natural precursor of the two-dimensional surface code QEC scheme, and track errors as they occur by repeatedly performing projective quantum non-demolition (QND) parity measurements. Relative to a single physical qubit, we reduce the failure rate in retrieving an input state by a factor of 2.7 for five qubits and a factor of 8.5 for nine qubits after eight cycles. Additionally, we tomographically verify preservation of the non-classical Greenberger-Horne-Zeilinger (GHZ) state. The successful suppression of environmentally-induced errors strongly motivates further research into the many exciting challenges associated with building a large-scale superconducting quantum computer.

Characterization and reduction of microfabrication-induced decoherence in superconducting quantum circuits

  1. C. M. Quintana,
  2. A. Megrant,
  3. Z. Chen,
  4. A. Dunsworth,
  5. B. Chiaro,
  6. R. Barends,
  7. B. Campbell,
  8. Yu Chen,
  9. I.-C. Hoi,
  10. E. Jeffrey,
  11. J. Kelly,
  12. J. Y. Mutus,
  13. P. J. J. O'Malley,
  14. C. Neill,
  15. P. Roushan,
  16. D. Sank,
  17. A. Vainsencher,
  18. J. Wenner,
  19. T. C. White,
  20. A. N. Cleland,
  21. and John M. Martinis
Many superconducting qubits are highly sensitive to dielectric loss, making the fabrication of coherent quantum circuits challenging. To elucidate this issue, we characterize the interfaces
and surfaces of superconducting coplanar waveguide resonators and study the associated microwave loss. We show that contamination induced by traditional qubit lift-off processing is particularly detrimental to quality factors without proper substrate cleaning, while roughness plays at most a small role. Aggressive surface treatment is shown to damage the crystalline substrate and degrade resonator quality. We also introduce methods to characterize and remove ultra-thin resist residue, providing a way to quantify and minimize remnant sources of loss on device surfaces.

Simulating weak localization using superconducting quantum circuits

  1. Yu Chen,
  2. P. Roushan,
  3. D. Sank,
  4. C. Neill,
  5. Erik Lucero,
  6. Matteo Mariantoni,
  7. R. Barends,
  8. B. Chiaro,
  9. J. Kelly,
  10. A. Megrant,
  11. J. Y. Mutus,
  12. P. J. J. O'Malley,
  13. A. Vainsencher,
  14. J. Wenner,
  15. T. C. White,
  16. Yi Yin,
  17. A. N. Cleland,
  18. and John M. Martinis
Understanding complex quantum matter presents a central challenge in condensed matter physics. The difficulty lies in the exponential scaling of the Hilbert space with the system size,
making solutions intractable for both analytical and conventional numerical methods. As originally envisioned by Richard Feynman, this class of problems can be tackled using controllable quantum simulators. Despite many efforts, building an quantum emulator capable of solving generic quantum problems remains an outstanding challenge, as this involves controlling a large number of quantum elements. Here, employing a multi-element superconducting quantum circuit and manipulating a single microwave photon, we demonstrate that we can simulate the weak localization phenomenon observed in mesoscopic systems. By engineering the control sequence in our emulator circuit, we are also able to reproduce the well-known temperature dependence of weak localization. Furthermore, we can use our circuit to continuously tune the level of disorder, a parameter that is not readily accessible in mesoscopic systems. By demonstrating a high level of control and complexity, our experiment shows the potential for superconducting quantum circuits to realize scalable quantum simulators.

Qubit architecture with high coherence and fast tunable coupling

  1. Yu Chen,
  2. C. Neill,
  3. P. Roushan,
  4. N. Leung,
  5. M. Fang,
  6. R. Barends,
  7. J. Kelly,
  8. B. Campbell,
  9. Z. Chen,
  10. B. Chiaro,
  11. A. Dunsworth,
  12. E. Jeffrey,
  13. A. Megrant,
  14. J. Y. Mutus,
  15. P. J. J. O'Malley,
  16. C. M. Quintana,
  17. D. Sank,
  18. A. Vainsencher,
  19. J. Wenner,
  20. T. C. White,
  21. Michael R. Geller,
  22. A. N. Cleland,
  23. and John M. Martinis
We introduce a superconducting qubit architecture that combines high-coherence qubits and tunable qubit-qubit coupling. With the ability to set the coupling to zero, we demonstrate
that this architecture is protected from the frequency crowding problems that arise from fixed coupling. More importantly, the coupling can be tuned dynamically with nanosecond resolution, making this architecture a versatile platform with applications ranging from quantum logic gates to quantum simulation. We illustrate the advantages of dynamic coupling by implementing a novel adiabatic controlled-Z gate, at a speed approaching that of single-qubit gates. Integrating coherence and scalable control, our „gmon“ architecture is a promising path towards large-scale quantum computation and simulation.

Fast Scalable State Measurement with Superconducting Qubits

  1. Daniel Sank,
  2. Evan Jeffrey,
  3. J. Y. Mutus,
  4. T. C. White,
  5. J. Kelly,
  6. R. Barends,
  7. Y. Chen,
  8. Z. Chen,
  9. B. Chiaro,
  10. A. Dunsworth,
  11. A. Megrant,
  12. P. J. J. O'Malley,
  13. C. Neill,
  14. P. Roushan,
  15. A. Vainsencher,
  16. J. Wenner,
  17. A. N. Cleland,
  18. and J.M. Martinis
Progress in superconducting qubit experiments with greater numbers of qubits or advanced techniques such as feedback requires faster and more accurate state measurement. We have designed
a multiplexed measurement system with a bandpass filter that allows fast measurement without increasing environmental damping of the qubits. We use this to demonstrate simultaneous measurement of four qubits on a single superconducting integrated circuit, the fastest of which can be measured to 99.8% accuracy in 140ns. This accuracy and speed is suitable for advanced multi-qubit experiments including surface code error correction.

Catching Shaped Microwave Photons with 99.4% Absorption Efficiency

  1. J. Wenner,
  2. Yi Yin,
  3. Yu Chen,
  4. R. Barends,
  5. B. Chiaro,
  6. E. Jeffrey,
  7. J. Kelly,
  8. A. Megrant,
  9. J. Y. Mutus,
  10. C. Neill,
  11. P. J. J. O'Malley,
  12. P. Roushan,
  13. D. Sank,
  14. A. Vainsencher,
  15. T. C. White,
  16. Alexander N. Korotkov,
  17. A. N. Cleland,
  18. and John M. Martinis
Quantum information systems require high fidelity quantum operations. It is particularly challenging to convert flying qubits to stationary qubits for deterministic quantum networks,
since absorbing naturally shaped emission has a maximum fidelity of only 54%. Theoretical protocols reaching 100% efficiency rely upon sculpting the time dependence of photon wavepackets and receiver coupling. Using these schemes, experimental fidelities have reached up to 20% for optical photons and 81% for microwave photons, although with drive pulses much longer than the cavity decay rate. Here, we demonstrate a particularly simple „time reversed“ photon shape and gated receiver with an absorption fidelity of 99.4% and a receiver efficiency of 97.4% for microwave photons. We classically drive a superconducting coplanar waveguide resonator an order of magnitude shorter than the intrinsic decay time. With the fidelity now at the error threshold for fault tolerant quantum communication (96%) and computation (99.4%) and comparable to fidelities of good logic gates and measurements, new designs may be envisioned for quantum communication and computation systems.