Efficient Generation of Multi-partite Entanglement between Non-local Superconducting Qubits using Classical Feedback

  1. Akel Hashim,
  2. Ming Yuan,
  3. Pranav Gokhale,
  4. Larry Chen,
  5. Christian Jünger,
  6. Neelay Fruitwala,
  7. Yilun Xu,
  8. Gang Huang,
  9. Liang Jiang,
  10. and Irfan Siddiqi
Quantum entanglement is one of the primary features which distinguishes quantum computers from classical computers. In gate-based quantum computing, the creation of entangled states
or the distribution of entanglement across a quantum processor often requires circuit depths which grow with the number of entangled qubits. However, in teleportation-based quantum computing, one can deterministically generate entangled states with a circuit depth that is constant in the number of qubits, provided that one has access to an entangled resource state, the ability to perform mid-circuit measurements, and can rapidly transmit classical information. In this work, aided by fast classical FPGA-based control hardware with a feedback latency of only 150 ns, we explore the utility of teleportation-based protocols for generating non-local, multi-partite entanglement between superconducting qubits. First, we demonstrate well-known protocols for generating Greenberger-Horne-Zeilinger (GHZ) states and non-local CNOT gates in constant depth. Next, we utilize both protocols for implementing an unbounded fan-out (i.e., controlled-NOT-NOT) gate in constant depth between three non-local qubits. Finally, we demonstrate deterministic state teleportation and entanglement swapping between qubits on opposite side of our quantum processor.

Empowering high-dimensional quantum computing by traversing the dual bosonic ladder

  1. Long B. Nguyen,
  2. Noah Goss,
  3. Karthik Siva,
  4. Yosep Kim,
  5. Ed Younis,
  6. Bingcheng Qing,
  7. Akel Hashim,
  8. David I. Santiago,
  9. and Irfan Siddiqi
High-dimensional quantum information processing has emerged as a promising avenue to transcend hardware limitations and advance the frontiers of quantum technologies. Harnessing the
untapped potential of the so-called qudits necessitates the development of quantum protocols beyond the established qubit methodologies. Here, we present a robust, hardware-efficient, and extensible approach for operating multidimensional solid-state systems using Raman-assisted two-photon interactions. To demonstrate its efficacy, we construct a set of multi-qubit operations, realize highly entangled multidimensional states including atomic squeezed states and Schrödinger cat states, and implement programmable entanglement distribution along a qudit array. Our work illuminates the quantum electrodynamics of strongly driven multi-qudit systems and provides the experimental foundation for the future development of high-dimensional quantum applications.

Programmable Heisenberg interactions between Floquet qubits

  1. Long B. Nguyen,
  2. Yosep Kim,
  3. Akel Hashim,
  4. Noah Goss,
  5. Brian Marinelli,
  6. Bibek Bhandari,
  7. Debmalya Das,
  8. Ravi K. Naik,
  9. John Mark Kreikebaum,
  10. Andrew N. Jordan,
  11. David I. Santiago,
  12. and Irfan Siddiqi
The fundamental trade-off between robustness and tunability is a central challenge in the pursuit of quantum simulation and fault-tolerant quantum computation. In particular, many emerging
quantum architectures are designed to achieve high coherence at the expense of having fixed spectra and consequently limited types of controllable interactions. Here, by adiabatically transforming fixed-frequency superconducting circuits into modifiable Floquet qubits, we demonstrate an XXZ Heisenberg interaction with fully adjustable anisotropy. This interaction model is on one hand the basis for many-body quantum simulation of spin systems, and on the other hand the primitive for an expressive quantum gate set. To illustrate the robustness and versatility of our Floquet protocol, we tailor the Heisenberg Hamiltonian and implement two-qubit iSWAP, CZ, and SWAP gates with estimated fidelities of 99.32(3)%, 99.72(2)%, and 98.93(5)%, respectively. In addition, we implement a Heisenberg interaction between higher energy levels and employ it to construct a three-qubit CCZ gate with a fidelity of 96.18(5)%. Importantly, the protocol is applicable to various fixed-frequency high-coherence platforms, thereby unlocking a suite of essential interactions for high-performance quantum information processing. From a broader perspective, our work provides compelling avenues for future exploration of quantum electrodynamics and optimal control using the Floquet framework.

Random-access quantum memory using chirped pulse phase encoding

  1. James O'Sullivan,
  2. Oscar W. Kennedy,
  3. Kamanasish Debnath,
  4. Joseph Alexander,
  5. Christoph W. Zollitsch,
  6. Mantas Šimėnas,
  7. Akel Hashim,
  8. Christopher N Thomas,
  9. Stafford Withington,
  10. Irfan Siddiqi,
  11. Klaus Mølmer,
  12. and John J.L. Morton
and quantum information"]processors [arXiv:1109.3743]. As in conventional computing, key attributes of such memories are high storage density and, crucially, random access, or the ability to read from or write to an arbitrarily chosen register. However, achieving such random access with quantum memories [arXiv:1904.09643] in a dense, hardware-efficient manner remains a challenge, for example requiring dedicated cavities per qubit [arXiv:1109.3743] or pulsed field gradients [arXiv:0908.0101]. Here we introduce a protocol using chirped pulses to encode qubits within an ensemble of quantum two-level systems, offering both random access and naturally supporting dynamical decoupling to enhance the memory lifetime. We demonstrate the protocol in the microwave regime using donor spins in silicon coupled to a superconducting cavity, storing up to four multi-photon microwave pulses and retrieving them on-demand up to 2~ms later. A further advantage is the natural suppression of superradiant echo emission, which we show is critical when approaching unit cooperativity. This approach offers the potential for microwave random access quantum memories with lifetimes exceeding seconds [arXiv:1301.6567, arXiv:2005.09275], while the chirped pulse phase encoding could also be applied in the optical regime to enhance quantum repeaters and networks.

Experimental Characterization of Crosstalk Errors with Simultaneous Gate Set Tomography

  1. Kenneth Rudinger,
  2. Craig W. Hogle,
  3. Ravi K. Naik,
  4. Akel Hashim,
  5. Daniel Lobser,
  6. David I. Santiago,
  7. Matthew D. Grace,
  8. Erik Nielsen,
  9. Timothy Proctor,
  10. Stefan Seritan,
  11. Susan M. Clark,
  12. Robin Blume-Kohout,
  13. Irfan Siddiqi,
  14. and Kevin C. Young
Crosstalk is a leading source of failure in multiqubit quantum information processors. It can arise from a wide range of disparate physical phenomena, and can introduce subtle correlations
in the errors experienced by a device. Several hardware characterization protocols are able to detect the presence of crosstalk, but few provide sufficient information to distinguish various crosstalk errors from one another. In this article we describe how gate set tomography, a protocol for detailed characterization of quantum operations, can be used to identify and characterize crosstalk errors in quantum information processors. We demonstrate our methods on a two-qubit trapped-ion processor and a two-qubit subsystem of a superconducting transmon processor.

Randomized compiling for scalable quantum computing on a noisy superconducting quantum processor

  1. Akel Hashim,
  2. Ravi K. Naik,
  3. Alexis Morvan,
  4. Jean-Loup Ville,
  5. Bradley Mitchell,
  6. John Mark Kreikebaum,
  7. Marc Davis,
  8. Ethan Smith,
  9. Costin Iancu,
  10. Kevin P. O'Brien,
  11. Ian Hincks,
  12. Joel J. Wallman,
  13. Joseph Emerson,
  14. and Irfan Siddiqi
The successful implementation of algorithms on quantum processors relies on the accurate control of quantum bits (qubits) to perform logic gate operations. In this era of noisy intermediate-scale
quantum (NISQ) computing, systematic miscalibrations, drift, and crosstalk in the control of qubits can lead to a coherent form of error which has no classical analog. Coherent errors severely limit the performance of quantum algorithms in an unpredictable manner, and mitigating their impact is necessary for realizing reliable quantum computations. Moreover, the average error rates measured by randomized benchmarking and related protocols are not sensitive to the full impact of coherent errors, and therefore do not reliably predict the global performance of quantum algorithms, leaving us unprepared to validate the accuracy of future large-scale quantum computations. Randomized compiling is a protocol designed to overcome these performance limitations by converting coherent errors into stochastic noise, dramatically reducing unpredictable errors in quantum algorithms and enabling accurate predictions of algorithmic performance from error rates measured via cycle benchmarking. In this work, we demonstrate significant performance gains under randomized compiling for the four-qubit quantum Fourier transform algorithm and for random circuits of variable depth on a superconducting quantum processor. Additionally, we accurately predict algorithm performance using experimentally-measured error rates. Our results demonstrate that randomized compiling can be utilized to maximally-leverage and predict the capabilities of modern-day noisy quantum processors, paving the way forward for scalable quantum computing.