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.

Optimal quantum control using randomized benchmarking

  1. J. Kelly,
  2. R. Barends,
  3. B. Campbell,
  4. Y. Chen,
  5. Z. Chen,
  6. B. Chiaro,
  7. A. Dunsworth,
  8. A. G. Fowler,
  9. I.-C. Hoi,
  10. E. Jeffrey,
  11. A. Megrant,
  12. J. Mutus,
  13. C. Neill,
  14. P. J. J. O'Malley,
  15. C. Quintana,
  16. P. Roushan,
  17. D. Sank,
  18. A. Vainsencher,
  19. J. Wenner,
  20. T. C. White,
  21. A. N. Cleland,
  22. and John M. Martinis
We present a method for optimizing quantum control in experimental systems, using a subset of randomized benchmarking measurements to rapidly infer error. This is demonstrated to improve
single- and two-qubit gates, minimize gate bleedthrough, where a gate mechanism can cause errors on subsequent gates, and identify control crosstalk in superconducting qubits. This method is able to correct parameters to where control errors no longer dominate, and is suitable for automated and closed-loop optimization of experimental systems

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.

Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing

  1. R. Barends,
  2. J. Kelly,
  3. A. Megrant,
  4. A. Veitia,
  5. D. Sank,
  6. E. Jeffrey,
  7. T. C. White,
  8. J. Mutus,
  9. A. G. Fowler,
  10. B. Campbell,
  11. Y. Chen,
  12. Z. Chen,
  13. B. Chiaro,
  14. A. Dunsworth,
  15. C. Neill,
  16. P. O'Malley,
  17. P. Roushan,
  18. A. Vainsencher,
  19. J. Wenner,
  20. A. N. Korotkov,
  21. A. N. Cleland,
  22. and John M. Martinis
A quantum computer can solve hard problems – such as prime factoring, database searching, and quantum simulation – at the cost of needing to protect fragile quantum states
from error. Quantum error correction provides this protection, by distributing a logical state among many physical qubits via quantum entanglement. Superconductivity is an appealing platform, as it allows for constructing large quantum circuits, and is compatible with microfabrication. For superconducting qubits the surface code is a natural choice for error correction, as it uses only nearest-neighbour coupling and rapidly-cycled entangling gates. The gate fidelity requirements are modest: The per-step fidelity threshold is only about 99%. Here, we demonstrate a universal set of logic gates in a superconducting multi-qubit processor, achieving an average single-qubit gate fidelity of 99.92% and a two-qubit gate fidelity up to 99.4%. This places Josephson quantum computing at the fault-tolerant threshold for surface code error correction. Our quantum processor is a first step towards the surface code, using five qubits arranged in a linear array with nearest-neighbour coupling. As a further demonstration, we construct a five-qubit Greenberger-Horne-Zeilinger (GHZ) state using the complete circuit and full set of gates. The results demonstrate that Josephson quantum computing is a high-fidelity technology, with a clear path to scaling up to large-scale, fault-tolerant quantum circuits.

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.

Coherent Josephson qubit suitable for scalable quantum integrated circuits

  1. R. Barends,
  2. J. Kelly,
  3. A. Megrant,
  4. D. Sank,
  5. E. Jeffrey,
  6. Y. Chen,
  7. Y. Yin,
  8. B. Chiaro,
  9. J. Mutus,
  10. C. Neill,
  11. P. O'Malley,
  12. P. Roushan,
  13. J. Wenner,
  14. T. C. White,
  15. A. N. Cleland,
  16. and John M. Martinis
We demonstrate a planar, tunable superconducting qubit with energy relaxation times up to 44 microseconds. This is achieved by using a geometry designed to both minimize radiative loss
and reduce coupling to materials-related defects. At these levels of coherence, we find a fine structure in the qubit energy lifetime as a function of frequency, indicating the presence of a sparse population of incoherent, weakly coupled two-level defects. This is supported by a model analysis as well as experimental variations in the geometry. Our `Xmon‘ qubit combines facile fabrication, straightforward connectivity, fast control, and long coherence, opening a viable route to constructing a chip-based quantum computer.

Excitation of superconducting qubits from hot non-equilibrium quasiparticles

  1. J. Wenner,
  2. Yi Yin,
  3. Erik Lucero,
  4. R. Barends,
  5. Yu Chen,
  6. B. Chiaro,
  7. J. Kelly,
  8. M. Lenander,
  9. Matteo Mariantoni,
  10. A. Megrant,
  11. C. Neill,
  12. P. J. J. O'Malley,
  13. D. Sank,
  14. A. Vainsencher,
  15. H. Wang,
  16. T. C. White,
  17. A. N. Cleland,
  18. and John M. Martinis
Superconducting qubits probe environmental defects such as non-equilibrium quasiparticles, an important source of decoherence. We show that „hot“ non-equilibrium quasiparticles,
with energies above the superconducting gap, affect qubits differently from quasiparticles at the gap, implying qubits can probe the dynamic quasiparticle energy distribution. For hot quasiparticles, we predict a non-neligable increase in the qubit excited state probability P_e. By injecting hot quasiparticles into a qubit, we experimentally measure an increase of P_e in semi-quantitative agreement with the model.

Controlled catch and release of microwave photon states

  1. Yi Yin,
  2. Yu Chen,
  3. Daniel Sank,
  4. P. J. J. O'Malley,
  5. T. C. White,
  6. R. Barends,
  7. J. Kelly,
  8. Erik Lucero,
  9. Matteo Mariantoni,
  10. A. Megrant,
  11. C. Neill,
  12. A. Vainsencher,
  13. J. Wenner,
  14. Alexander N. Korotkov,
  15. A. N. Cleland,
  16. and John M. Martinis
, in which the resonant cavity confines photons and promotes"]strong light-matter interactions. The cavity end-mirrors determine the performance of the coupled system, with higher mirror reflectivity yielding better quantum coherence, but higher mirror transparency giving improved measurement and control, forcing a compromise. An alternative is to control the mirror transparency, enabling switching between long photon lifetime during quantum interactions and large signal strength when performing measurements. Here we demonstrate the superconducting analogue, using a quantum system comprising a resonator and a qubit, with variable coupling to a measurement transmission line. The coupling can be adjusted through zero to a photon emission rate 1,000 times the intrinsic photon decay rate. We use this system to control photons in coherent states as well as in non-classical Fock states, and dynamically shape the waveform of released photons. This has direct applications to circuit quantum electrodynamics [3], and may enable high-fidelity quantum state transfer between distant qubits, for which precisely-controlled waveform shaping is a critical and non-trivial requirement [4, 5].