Matthew H. Matheny

Amazon (United States)

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M. L. Roukes

California Institute of Technology

R. B. Karabalin

California Institute of Technology

Luis Guillermo Villanueva

École Polytechnique Fédérale de Lausanne

W C Fon

California Institute of Technology

Oskar Painter

California Institute of Technology

M. C. Cross

California Institute of Technology

James P. Crutchfield

University of California, Davis

Ron Lifshitz

Tel Aviv University

Connor T. Hann

Amazon (United States)

Kyungjoo Noh

California Institute of Technology

Cooperative Institutions

California Institute of Technology

Kavli Energy NanoScience Institute

Stanford University

University of Chicago

Harvard University

Massachusetts Institute of Technology

National Institute of Standards and Technology

Google (United States)

Amazon (United States)

Yale University

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Imaging Multimode Vibrations in High-Frequency Aluminum Nitride Piezoelectric Nanomembrane Resonators

Hao Jia Matthew H. Matheny M. L. Roukes Philip X.‐L. Feng

We report on the first imaging and visualization of the multimode resonant behaviors of aluminum nitride (AlN) piezoelectric nanomembrane resonators, by exploiting a spectromicroscopy technique based on scanning laser interferometry. High-frequency multimode vibrations (up to 33MHz) with quality (Q) factors up to ~8500 are observed in the AlN nanomembranes. Both undriven thermomechanical and coherently excited vibrations of the devices are measured and spatially mapped. Such a multimode AlN device platform with abundant resonant modes, two-dimensional (2D) large capturing surfaces, and efficient all-electrical signal transduction, holds strong promise for enabling ultrasensitive gravimetric detection, mass spectroscopy, and inertial imaging.

10.1109/transducers.2019.8808643

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NEMS (Nanoelectromechanicsl Systems) Networks: A Novel Validation Platform for Controlling Interconnected Dynamical Networks

Matthew H. Matheny M. L. Roukes James P. Crutchfield Raissa M. D’Souza W C Fon

Abstract : We review the experimental role NanoElectroMechanical System (NEMS) networks play vis a vis the MURIs scientific and validation goals which target new theoretical understanding of the dynamics of large-scale interconnected networks and their control. Our plans for NEMS networks are substantially updated based on our theoretical and experimental results during the MURIs first two years, providing a clear roadmap for the coming years that discusses relative benefits and costs. For example, we briefly compare how NEMS networks compare to alternative, potential validation platforms, including one based on Field-Programmable Gate Arrays (FPGAs). We also provide a relatively detailed outline of system-on-chip implementation of large-scale NEMS networks that will allow us to explore the nonlinear dynamics, statistical mechanics, and control of very large oscillator networks.

Nanoelectromechanical systems

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Collapse and Revival of an Artificial Atom Coupled to a Structured Photonic Reservoir

arXiv (Cornell University) (2020)

Vinicius S. Ferreira Jash Banker Alp Sipahigil Matthew H. Matheny Andrew J. Keller

A structured electromagnetic reservoir can result in novel dynamics of quantum emitters. In particular, the reservoir can be tailored to have a memory of past interactions with emitters, in contrast to memory-less Markovian dynamics of typical open systems. In this Article, we investigate the non-Markovian dynamics of a superconducting qubit strongly coupled to a superconducting slow-light waveguide reservoir. Tuning the qubit into the spectral vicinity of the passband of this waveguide, we find non-exponential energy relaxation as well as substantial changes to the qubit emission rate. Further, upon addition of a reflective boundary to one end of the waveguide, we observe revivals in the qubit population on a timescale 30 times longer than the inverse of the qubit's emission rate, corresponding to the round-trip travel time of an emitted photon. By tuning of the qubit-waveguide interaction strength, we probe a crossover between Markovian and non-Markovian qubit emission dynamics. These attributes allow for future studies of multi-qubit circuits coupled to structured reservoirs, in addition to constituting the necessary resources for generation of multiphoton highly entangled states.

Flux qubit

Charge qubit

Waveguide

10.48550/arxiv.2001.03240

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Self-correcting GKP qubit and gates in a driven-dissipative circuit

arXiv (Cornell University) (2024)

Frederik Nathan L. O’Brien Kyungjoo Noh Matthew H. Matheny Arne L. Grimsmo

We propose a circuit architecture for a dissipatively error-corrected GKP qubit. The device consists of a high-impedance LC circuit coupled to a Josephson junction and a resistor via a controllable switch. When the switch is activated via a particular family of stepwise protocols, the resistor absorbs all noise-induced entropy, resulting in dissipative error correction of both phase and amplitude errors. This leads to an exponential increase of qubit lifetime, reaching beyond 10ms in simulations with near-feasible parameters. We show that the lifetime remains exponentially long in the presence of extrinsic noise and device/control imperfections (e.g., due to parasitics and finite control bandwidth) under specific thresholds. In this regime, lifetime is likely only limited by phase slips and quasiparticle tunneling. We show that the qubit can be read out and initialized via measurement of the supercurrent in the Josephson junction. We finally show that the qubit supports native self-correcting single-qubit Clifford gates, where dissipative error-correction of control noise leads to exponential suppression of gate infidelity.

10.48550/arxiv.2405.05671

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Optical transduction and routing of microwave phonons in cavity-optomechanical circuits

Nature Photonics (2016)

Kejie Fang Matthew H. Matheny Xingsheng Luan Oskar Painter

Waveguide

Optomechanics

Microwave cavity

10.1038/nphoton.2016.107

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Citations (187)

Efficient methods for extracting superconducting resonator loss in the single-photon regime

Journal of Applied Physics (2025)

Cliff Chen David Perello Shahriar Aghaeimeibodi Guillaume Marcaud Ignace Jarrige

Superconducting micro-resonators have application in sensors and quantum computing. Measurement of the resonator internal loss in the single-photon regime is a common tool to study the origins of dissipation, noise, and decoherence in quantum circuits, as well as characterization of materials used for quantum devices. However, such measurements are challenging and time-consuming with large uncertainties due to the poor signal-to-noise ratio when measured at single-photon power levels. We developed methods to extract a subset of the resonator fitting parameters at high power and fix them in the analysis of low power data, which reduce the parameter space in the regression analysis. By comparing the analysis with and without partial extraction, we show that these methods reduce the uncertainty of the results, while improving the robustness and efficiency of the loss measurement.

10.1063/5.0242201

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Demonstrating a Long-Coherence Dual-Rail Erasure Qubit Using Tunable Transmons

Physical Review X (2024)

Harry Levine Arbel Haim Jimmy S. C. Hung Nasser Alidoust Mahmoud Kalaee

Quantum error correction with erasure qubits promises significant advantages over standard error correction due to favorable thresholds for erasure errors. To realize this advantage in practice requires a qubit for which nearly all errors are such erasure errors, and the ability to check for erasure errors without dephasing the qubit. We demonstrate that a “dual-rail qubit” consisting of a pair of resonantly coupled transmons can form a highly coherent erasure qubit, where transmon T1 errors are converted into erasure errors and residual dephasing is strongly suppressed, leading to millisecond-scale coherence within the qubit subspace. We show that single-qubit gates are limited primarily by erasure errors, with erasure probability perasure=2.19(2)×10−3 per gate while the residual errors are ∼40 times lower. We further demonstrate midcircuit detection of erasure errors while introducing <0.1% dephasing error per check. Finally, we show that the suppression of transmon noise allows this dual-rail qubit to preserve high coherence over a broad tunable operating range, offering an improved capacity to avoid frequency collisions. This work establishes transmon-based dual-rail qubits as an attractive building block for hardware-efficient quantum error correction. Published by the American Physical Society 2024

Erasure

10.1103/physrevx.14.011051

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High-Fidelity Two-Qubit Gates between Fluxonium Qubits with a Resonator Coupler

PRX Quantum (2024)

Emma L. Rosenfeld Connor T. Hann David Schuster Matthew H. Matheny Aashish A. Clerk

We take a bottom-up first-principles approach to designing a two-qubit gate between fluxonium qubits for minimal error, speed, and control simplicity. Our proposed architecture consists of two fluxoniums coupled via a resonator. The use of a simple linear coupler has many practical benefits, including the possibility of material optimization for suppressing loss, reducing fabrication complexity, and increasing yield by circumventing the need for Josephson junctions. Crucially, a resonator-as-coupler approach also suggests a clear path to increased connectivity between fluxonium qubits, by reducing capacitive loading when the coupler has a high impedance. After performing analytic and numerical analyses of the circuit Hamiltonian and gate dynamics, we tune circuit parameters to destructively interfere sources of coherent error, revealing an efficient fourth-order scaling of coherent error with gate duration. For component properties from the literature, we predict an open-system average controlled-Z () gate infidelity of 1.86×10−4 in 70 ns. Published by the American Physical Society 2024

Output coupler

High fidelity

10.1103/prxquantum.5.040317

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raw data and simulation scripts for "Exotic states in a simple network of nanoelectromechanical oscillators"

Zenodo (CERN European Organization for Nuclear Research) (2019)

Matthew H. Matheny M. L. Roukes W C Fon

Presented are raw data and simulation python scripts used to create figures from the manuscript "Exotic states in a simple network of nanoelectromechanical oscillators". Data is formatted by {time, mag_1, phase_1, mag_2, phase_2, mag_3, phase_3, mag_4, phase_4, mag_5, phase_5, mag_6, phase_6, mag_7, phase_7, mag_8, phase_8} for 17 column data files, and {time, phase_1, phase_2, phase_3, phase_4, phase_5, phase_6, phase_7, phase_8} for 9 column data. The data is organized by Figure number within manuscript and supplementary information.

10.5281/zenodo.2543764

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A Nanoscale Parametric Feedback Oscillator

Nano Letters (2011)

Luis Guillermo Villanueva R. B. Karabalin Matthew H. Matheny Eyal Kenig M. C. Cross

We describe and demonstrate a new oscillator topology, the parametric feedback oscillator (PFO). The PFO paradigm is applicable to a wide variety of nanoscale devices and opens the possibility of new classes of oscillators employing innovative frequency-determining elements, such as nanoelectromechanical systems (NEMS), facilitating integration with circuitry and system-size reduction. We show that the PFO topology can also improve nanoscale oscillator performance by circumventing detrimental effects that are otherwise imposed by the strong device nonlinearity in this size regime.

Nanoelectromechanical systems

Parametric oscillator

10.1021/nl2031162

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Citations (106)