Maxwell-Schr\"{o}dinger Modeling of Superconducting Qubits Coupled to Transmission Line Networks

• URL: http://arxiv.org/abs/2210.07923v2
• Date: Mon, 1 May 2023 23:24:33 GMT
• Title: Maxwell-Schr\"{o}dinger Modeling of Superconducting Qubits Coupled to Transmission Line Networks
• Authors: Thomas E. Roth and Samuel T. Elkin
• Abstract summary: In superconducting circuit quantum information technologies, classical microwave pulses are applied to control and measure the qubit states. Currently, the design of these microwave pulses use simple theoretical or numerical models that do not account for the self-consistent interactions of how the qubit state modifies the applied microwave pulse. We present the formulation and finite element time domain discretization of a semiclassical Maxwell-Schr"odinger method for describing these self-consistent dynamics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In superconducting circuit quantum information technologies, classical microwave pulses are applied to control and measure the qubit states. Currently, the design of these microwave pulses use simple theoretical or numerical models that do not account for the self-consistent interactions of how the qubit state modifies the applied microwave pulse. In this work, we present the formulation and finite element time domain discretization of a semiclassical Maxwell-Schr\"{o}dinger method for describing these self-consistent dynamics for the case of a superconducting qubit capacitively coupled to a general transmission line network. We validate the proposed method by characterizing key effects related to common control and measurement approaches for transmon and fluxonium qubits in systems that are amenable to theoretical analysis. Our numerical results also highlight scenarios where including the self-consistent interactions are essential. By treating the microwaves classically, our method is substantially more efficient than fully-quantum methods for the many situations where the quantum statistics of the microwaves are not needed. Further, our approach does not require any reformulations when the transmission line system is modified. In the future, our method can be used to rapidly explore broader design spaces to search for more effective control and measurement protocols for superconducting qubits.

Related papers

• Field-Based Formalism for Calculating Multi-Qubit Exchange Coupling Rates for Transmon Qubits [0.0]
  Superconducting qubits are one of the most mature platforms for quantum computing. Existing analysis approaches using eigenmode solvers are cumbersome, not robust, and computationally prohibitive if devices with more than a few qubits are to be analyzed. This work begins the development of an alternative framework that we illustrate in the context of evaluating the qubit-qubit exchange coupling rate between transmon qubits.
  arXiv  Detail & Related papers  (2024-06-08T13:31:18Z)
• Microwave signal processing using an analog quantum reservoir computer [5.236242306967409]
  We show how a superconducting circuit can be used as an analog quantum reservoir for a variety of classification tasks. Our work does not attempt to address the question of whether QRCs could provide a quantum computational advantage.
  arXiv  Detail & Related papers  (2023-12-26T18:54:36Z)
• Resolving non-perturbative renormalization of a microwave-dressed weakly anharmonic superconducting qubit [0.0]
  We study a microwave-dressed transmon coupled to a single quantized mode over a wide range of driving parameters. Unlike previous theoretical works, we establish a non-recursive, and non-Floquet theory beyond the perturbative regimes. Our work will also contribute to fast quantum gate implementation, qubit parameter engineering, and fundamental studies on driven nonlinear systems.
  arXiv  Detail & Related papers  (2022-12-12T12:25:02Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• Entangling remote microwave quantum computers with hybrid entanglement swap and variational distillation [4.046143379963425]
  Superconducting microwave circuits with Josephson junctions are a major platform for quantum computing. We propose a continuous-variable entanglement-swap approach based on optical-microwave entanglement generation. Our work provides a practical method to realize efficient quantum links for superconducting microwave quantum computers.
  arXiv  Detail & Related papers  (2022-06-29T14:34:29Z)
• Probing quantum devices with radio-frequency reflectometry [68.48453061559003]
  Radio-frequency reflectometry can measure changes in impedance even when their duration is extremely short, down to a microsecond or less. Examples of reflectometry experiments include projective measurements of qubits and Majorana devices for quantum computing. This book aims to introduce the readers to the technique, to review the advances to date and to motivate new experiments in fast quantum device dynamics.
  arXiv  Detail & Related papers  (2022-02-21T20:14:21Z)
• Slowing down light in a qubit metamaterial [98.00295925462214]
  superconducting circuits in the microwave domain still lack such devices. We demonstrate slowing down electromagnetic waves in a superconducting metamaterial composed of eight qubits coupled to a common waveguide. Our findings demonstrate high flexibility of superconducting circuits to realize custom band structures.
  arXiv  Detail & Related papers  (2022-02-14T20:55:10Z)
• Full-Wave Methodology to Compute the Spontaneous Emission Rate of a Transmon Qubit [0.0]
  The spontaneous emission rate (SER) is an important figure of merit for any quantum bit (qubit) We show how this can be done with a recently developed field-based description of transmon qubits coupled to an electromagnetic environment. We validate our model by computing the SER for devices similar to those found in the literature that have been well-characterized experimentally.
  arXiv  Detail & Related papers  (2022-01-11T23:47:20Z)
• A low-loss ferrite circulator as a tunable chiral quantum system [108.66477491099887]
  We demonstrate a low-loss waveguide circulator constructed with single-crystalline yttrium iron garnet (YIG) in a 3D cavity. We show the coherent coupling of its chiral internal modes with integrated superconducting niobium cavities. We also probe experimentally the effective non-Hermitian dynamics of this system and its effective non-reciprocal eigenmodes.
  arXiv  Detail & Related papers  (2021-06-21T17:34:02Z)
• Waveguide Bandgap Engineering with an Array of Superconducting Qubits [101.18253437732933]
  We experimentally study a metamaterial made of eight superconducting transmon qubits with local frequency control. We observe the formation of super- and subradiant states, as well as the emergence of a polaritonic bandgap. The circuit of this work extends experiments with one and two qubits towards a full-blown quantum metamaterial.
  arXiv  Detail & Related papers  (2020-06-05T09:27:53Z)
• Circuit Quantum Electrodynamics [62.997667081978825]
  Quantum mechanical effects at the macroscopic level were first explored in Josephson junction-based superconducting circuits in the 1980s. In the last twenty years, the emergence of quantum information science has intensified research toward using these circuits as qubits in quantum information processors. The field of circuit quantum electrodynamics (QED) has now become an independent and thriving field of research in its own right.
  arXiv  Detail & Related papers  (2020-05-26T12:47:38Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.