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arXiv:1606.01755 · Quantum science and technology

Quantum Simulations with Circuit Quantum Electrodynamics

Guillermo Romero, E. Solano, Lucas Lamata

Published Jan 1, 2017• 8 citations
arXivHTMLPDF
DOI
10.1007/978-3-319-52025-4_7

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Abstract : Circuit Quantum Electrodynamics (cQED) is a highly promising platform for quantum control, quantum simulation, and quantum optics in a solid-state environment. Such systems consist of arti cial atoms coupled to superconducting resonators, and can be probed with microwave signals on a chip. This thesis theoretically and experimentally studies a method of quantum-limited Josephson parametric ampli cation for the improvement of such microwave measurements. A theoretical analysis of parametric ampli cation with a nonlinear quantum oscillator is given, along with an analysis of a particular implementation with a superconducting coplanar waveguide resonator shunted by an array of SQUIDs. A parametric ampli er chip is designed and a fabrication process is engineered. Measurements and analysis of a successfully fabricated device are presented, and future outlook is discussed.

•Aug 1, 2013•1 citation
Robust manipulation and control of quantum systems require a fast and efficient way to read out their state. After cavity quantum electrodynamics (cavity QED) pioneered the manipulation of neutral atoms and ions with light, circuit quantum electrodynamics (circuit QED) became the dominant readout paradigm for artificial atoms such as superconducting circuits, with dispersive readout widely adopted for its stability and efficiency.Recently, longitudinal readout has emerged as a potentially faster readout protocol, but relies on sophisticated parametric modulation, whose underlying mechanisms have remained unclear so far.Longitudinal interactions have been demonstrated across platforms ranging from superconducting qubits to quantum dots, and rely on driving the qubit at the resonator frequency. In different regimes, the coupling emerges parametrically in the drive strength, growing linearly as the drive increases.In this manuscript, we experimentally demonstrate the breakdown of this parametric regime in a two-level quantum dot charge qubit and devise a unifying Floquet theory to establish a universal connection between AC Stark shift, longitudinal coupling and dispersive readout in cQED.We derive analytical results supported by exact numerical simulations that we apply to superconducting and spin-hybrid cQED systems, showcasing the flexibility of faster-than-dispersive longitudinal readout.Inspired by cQED’s readout capabilities in single qubit measurements, we address many-body state readout in quantum simulators.Since the dynamical structure factor (DSF) encodes key information about density excitations in quantum systems, we propose Many-Body Admittance Spectroscopy (MADS) as a weakly invasive method to probe the DSF by analyzing the transmission coefficients of microwave signals coupled to the quantum simulator.We demonstrate the approach on a one-dimensional spinless fermionic chain, representative of quantum dot implementations of the Heisenberg model, and we discuss, supported by numerical simulations obtained using exact diagonalization and density matrix renormalization group (DMRG), the possibility to measure the qualitative modifications of the DSF caused by interactions. Our results highlight the potential of MADS for characterizing the dynamical properties in highly tunable solid-state quantum simulators, extending the toolbox for the readout of quantum simulators.
Abstract : Circuit Quantum Electrodynamics (cQED) is a highly promising platform for quantum control, quantum simulation, and quantum optics in a solid-state environment. Such systems consist of arti cial atoms coupled to superconducting resonators, and can be probed with microwave signals on a chip. This thesis theoretically and experimentally studies a method of quantum-limited Josephson parametric ampli cation for the improvement of such microwave measurements. A theoretical analysis of parametric ampli cation with a nonlinear quantum oscillator is given, along with an analysis of a particular implementation with a superconducting coplanar waveguide resonator shunted by an array of SQUIDs. A parametric ampli er chip is designed and a fabrication process is engineered. Measurements and analysis of a successfully fabricated device are presented, and future outlook is discussed.