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arXiv:1610.07915 · Physical Review Applied

Implementation of Pairwise Longitudinal Coupling in a Three-Qubit Superconducting Circuit

Tanay Roy, Suman Kundu, Madhavi Chand, Sumeru Hazra, N. Nehra, R. Cosmic, Arpit Ranadive, Meghan P. Patankar, Kedar Damle, R. Vijay

Published May 30, 2017• 46 citations
arXivHTMLPDF

Abstract

Superconducting circuits offer great flexibility in designing quantum hardware. The authors present a multimodal ``trimon'' circuit implementing three qubits, and exploit the strong all-to-all longitudinal coupling to demonstrate high-fidelity multiqubit gates. Their design is a marked departure from conventional ones that combine individual, decoupled qubits. Nonetheless, this scheme allows fairly straightforward scale-up using established multiqubit architectures. The trimon mimics natural molecules, as used in NMR techniques, and shows significant potential for applications in quantum information processing.

DOI
10.1103/physrevapplied.7.054025

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Superconducting circuits offer great flexibility in designing quantum hardware. The authors present a multimodal ``trimon'' circuit implementing three qubits, and exploit the strong all-to-all longitudinal coupling to demonstrate high-fidelity multiqubit gates. Their design is a marked departure from conventional ones that combine individual, decoupled qubits. Nonetheless, this scheme allows fairly straightforward scale-up using established multiqubit architectures. The trimon mimics natural molecules, as used in NMR techniques, and shows significant potential for applications in quantum information processing.
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Multimode circuits provide an avenue for flexible control of single and multi-qubit gates. In this work we implement a multimode circuit known as a trimon integrated in a planar geometry. The trimon features three transmon-like modes with strong all-to-all ZZZZZZ coupling. We demonstrate high fidelity operations on the trimon, achieving flexible control of its rich state space. This includes qubit rotations conditioned on one or both other qubits, unconditional single-qubit rotations, and both excitation-conserving and double-excitation two-qubit entangling gates. Through multi-tone driving we are able to implement all 16 two-qubit Pauli operators in the two-qubit space. We further demonstrate using the trimon as a qudit with up to 8 states and higher coherence than typical transmon-based implementations. Our results show a compact, highly controllable device that can potentially replace transmons in standard superconducting processor architectures.
Interqubit coupling and qubit connectivity in a processor are crucial for achieving high-fidelity multiqubit gates and efficient implementation of quantum algorithms. Typical superconducting processors employ relatively weak transverse interqubit coupling which is activated via frequency tuning or microwave drives. Here, we propose a class of multimode superconducting circuits which realize multiple transmon qubits with all-to-all longitudinal coupling. These ``artificial molecules'' directly implement a multidimensional Hilbert space that can be easily manipulated due to the always-on longitudinal coupling. We describe the basic technique to analyze such circuits, compute the relevant properties, and discuss how to optimize them to create efficient small-scale quantum processors with universal programmability.
Nonpairwise multiqubit interactions present a useful resource for quantum information processors. Their implementation would facilitate more efficient quantum simulations of molecules and combinatorial optimization problems, and they could simplify error suppression and error correction schemes. Here, we present a superconducting circuit architecture in which a coupling module mediates two-local and three-local interactions between three flux qubits by design. The system Hamiltonian is estimated via multiqubit pulse sequences that implement Ramsey-type interferometry between all neighboring excitation manifolds in the system. The three-local interaction is coherently tunable over several MHz via the coupler flux biases and can be turned off, which is important for applications in quantum annealing, analog quantum simulation, and gate-model quantum computation.
Despite the significant progress in superconducting quantum computation over the past years, quantum state measurement still lags nearly an order of magnitude behind quantum gate operations in speed and fidelity. The main challenge is that the strong coupling and readout signal used to probe the quantum state may also introduce additional channels which may cause qubit state transitions. Here, we design a novel architecture to implement the long-sought longitudinal interaction scheme between qubits and resonators. This architecture not only provides genuine longitudinal interaction by eliminating residual transversal couplings, but also introduces proper nonlinearity to the resonator that can further minimize decay error and measurement-induced excitation error. Combined with the multilevel readout protocol, we achieved a measurement fidelity of 99.8% in 202 ns without requiring any first-stage amplification. This highlights its potential as a highly promising architecture for superconducting qubit measurement.
To scale superconducting quantum processors, it is essential to achieve long coherence times while engineering interactions that do not introduce additional decoherence channels. In superconducting qubit systems, this can be realized using multimode circuits that feature a protected qubit mode alongside a distinct mediator mode. Building on this concept, our recently developed P-mon qubit provides intrinsic protection against decoherence from the readout environment. We extend this approach to controlled two-qubit interactions, by exploiting the mediator modes of P-mons for on-demand coupling. Because direct interactions between the qubit modes are strongly suppressed, unwanted ZZZZZZ-type interactions are significantly reduced to below 3.6(5) kHz3.6(5)~\text{kHz}3.6(5) kHz in the idle state. When tuning the coupled mediator modes on resonance, the cross-Kerr interaction between the qubit and the hybridized mediator modes leads to a qubit-state dependent frequency shift. By selectively addressing these transitions, we implement a 180 ns180~\text{ns}180 ns long CZ gate and determine a fidelity of $99.62(4)~\text{%}$. These results represent a significant step toward a scalable superconducting architecture that maintains high performance at scale.