Entanglement generation and relativistic simulation with cQED parametric oscillators

• URL: http://arxiv.org/abs/2210.00981v1
• Date: Mon, 3 Oct 2022 14:47:14 GMT
• Title: Entanglement generation and relativistic simulation with cQED parametric oscillators
• Abstract summary: In the first two papers, we study the generation and detection of entangled non-Gaussian states of microwave radiation. In the third paper, we explore one of the possible applications of quantum technologies: analog simulation of quantum systems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: On this PhD thesis we cover the results contained in arXiv:2001.07050, arXiv:2111.10096 and arXiv:2011.02822, while providing further details about their derivations. In the first two papers, we study the generation and detection of entangled non-Gaussian states of microwave radiation. These states are produced in a new parametric oscillator, built recently within the field of cQED, capable of down-converting a microwave tone into three different tones at once. These three photons share among their magnitudes quantum correlations, in particular genuine entanglement. In this text we refer to it as non-Gaussian because of its manifestation on statistical moments higher than covariances, and we propose a simple and practical criterion for the design of witnesses capable of detecting it: they must be built from higher statistical moments that change through time. Additionally, we speculate on the theoretical implications of the criterion and find suggestive connections to other entanglement classes, such as the paradigmatic nonequivalent GHZ and W three qubit states. In the third paper, we explore one of the possible applications of quantum technologies: analog simulation of quantum systems. The literature prior to this thesis showcases multiple examples of superconducting circuits capable of mimicking systems in which one must consider both quantum and relativistic phenomena, such as the dynamical Casimir and Unruh effects. This work explores the information that can be obtained through analog simulation, proposing a circuit capable of featuring the internal dynamics of a mirror experiencing a relativistic trajectory, that is, a mirror producing the dynamical Casimir effect.

Related papers

• Nonlinear light cone spreading of correlations in a triangular quantum magnet: a hard quantum simulation target [2.3117583619754507]
  We analyze the real-space time-dependent van Hove spin correlations $G(r,t)$ of the 2D triangular antiferromagnet KYbSe$$.<n>Our analysis reveals non-linear sub-ballistic low-temperature transport in KYbSe$ which none of the current state-of-the-art numerical or field-of-the-art methods reproduce.
  arXiv  Detail & Related papers  (2026-02-02T18:32:25Z)
• Optimized quantum algorithms for simulating the Schwinger effect [0.0]
  The Schwinger model describes lattice quantum electrodynamics in $1+1$ space-time dimensions.<n>We study different physical regimes in which the Schwinger effect is expected to be observable.<n>We find that a reliable simulation of the Schwinger effect is provably possible at high cutoff scales.
  arXiv  Detail & Related papers  (2025-08-22T23:09:02Z)
• Probing Hadron Scattering in Lattice Gauge Theories on Qudit Quantum Computers [0.5420492913071214]
  We propose experimentally feasible digital qudit quantum circuits for far-from-equilibrium quench dynamics of a $mathrmU(1)$ quantum link lattice gauge theory.<n>We probe scattering processes in this model on these proposed circuits, focusing on meson-meson and meson-antimeson collisions.<n>Our simulations, which include realistic noise models of dephasing and depolarization, show very good agreement with the exact noiseless dynamics.
  arXiv  Detail & Related papers  (2025-07-16T20:15:36Z)
• Quantum Information Scrambling, Chaos, Sensitivity, and Emergent State Designs [0.0]
  Out-of-time ordered correlators (OTOCs) have emerged as a powerful tool to quantify quantum chaos. OTOCs measure incompatibility between an operator evolved in the Heisenberg picture and an unevolved operator. The last part of the thesis is devoted to the study of the emergence of quantum state designs as a signature of quantum chaos.
  arXiv  Detail & Related papers  (2024-09-16T11:20:25Z)
• Simulating continuous-space systems with quantum-classical wave functions [0.0]
  Non-relativistic interacting quantum many-body systems are naturally described in terms of continuous-space Hamiltonians. Current algorithms require discretization, which usually amounts to choosing a finite basis set, inevitably introducing errors. We propose an alternative, discretization-free approach that combines classical and quantum resources in a global variational ansatz.
  arXiv  Detail & Related papers  (2024-09-10T10:54:59Z)
• Nonlinear dynamical Casimir effect and Unruh entanglement in waveguide QED with parametrically modulated coupling [83.88591755871734]
  We study theoretically an array of two-level qubits moving relative to a one-dimensional waveguide. When the frequency of this motion approaches twice the qubit resonance frequency, it induces parametric generation of photons and excitation of the qubits. We develop a comprehensive general theoretical framework that incorporates both perturbative diagrammatic techniques and a rigorous master-equation approach.
  arXiv  Detail & Related papers  (2024-08-30T15:54:33Z)
• Hamiltonian Engineering of collective XYZ spin models in an optical cavity [0.0]
  Quantum simulation using synthetic quantum systems offers unique opportunities to explore open questions in many-body physics. Here, we are able to realize an all-to-all interaction with arbitrary quadratic Hamiltonian or effectively an infinite range tunable Heisenberg XYZ model. The versatility of our platform to include more than two relevant momentum states, combined with the flexibility of the simulated Hamiltonians by adding cavity tones opens rich opportunities for quantum simulation and quantum sensing in matter-wave interferometers and other quantum sensors such as optical clocks and magnetometers.
  arXiv  Detail & Related papers  (2024-02-29T18:26:13Z)
• Probing Confinement Through Dynamical Quantum Phase Transitions: From Quantum Spin Models to Lattice Gauge Theories [0.0]
  We show that a change in the type of dynamical quantum phase transitions accompanies the confinement-deconfinement transition. Our conclusions can be tested in modern quantum-simulation platforms, such as ion-trap setups and cold-atom experiments of gauge theories.
  arXiv  Detail & Related papers  (2023-10-18T18:00:04Z)
• A Quantum-Classical Model of Brain Dynamics [62.997667081978825]
  Mixed Weyl symbol is used to describe brain processes at the microscopic level. Electromagnetic fields and phonon modes involved in the processes are treated either classically or semi-classically. Zero-point quantum effects can be incorporated into numerical simulations by controlling the temperature of each field mode.
  arXiv  Detail & Related papers  (2023-01-17T15:16:21Z)
• 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)
• Trapped-Ion Quantum Simulation of Collective Neutrino Oscillations [55.41644538483948]
  We study strategies to simulate the coherent collective oscillations of a system of N neutrinos in the two-flavor approximation using quantum computation. We find that the gate complexity using second order Trotter- Suzuki formulae scales better with system size than with other decomposition methods such as Quantum Signal Processing.
  arXiv  Detail & Related papers  (2022-07-07T09:39:40Z)
• Photonic quantum simulations of coupled $PT$-symmetric Hamiltonians [0.0]
  We use a programmable integrated photonic chip to simulate a model comprised of twin pairs of $PT$-symmetric Hamiltonians, with each the time reverse of its twin. We simulate quantum dynamics across exceptional points including two- and three-particle interference, and a particle-trembling behaviour that arises due to interference between subsystems undergoing time-reversed evolutions.
  arXiv  Detail & Related papers  (2022-02-01T11:54:10Z)
• Revealing higher-order light and matter energy exchanges using quantum trajectories in ultrastrong coupling [0.0]
  We extend the formalism of quantum trajectories to open quantum systems with ultrastrong coupling. We analyze the impact of the chosen unravelling (i.e., how one collects the output field of the system) for the quantum trajectories.
  arXiv  Detail & Related papers  (2021-07-19T11:22:12Z)
• Preparing random states and benchmarking with many-body quantum chaos [48.044162981804526]
  We show how to predict and experimentally observe the emergence of random state ensembles naturally under time-independent Hamiltonian dynamics. The observed random ensembles emerge from projective measurements and are intimately linked to universal correlations built up between subsystems of a larger quantum system. Our work has implications for understanding randomness in quantum dynamics, and enables applications of this concept in a wider context.
  arXiv  Detail & Related papers  (2021-03-05T08:32:43Z)
• State preparation and measurement in a quantum simulation of the O(3) sigma model [65.01359242860215]
  We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site. We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes. We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
  arXiv  Detail & Related papers  (2020-06-28T23:44:12Z)
• Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond [46.39654665163597]
  We report on experimental tests of topological defect formation via the one-dimensional transverse-field Ising model. We find that the quantum simulator results can indeed be explained by the KZM for open-system quantum dynamics with phase-flip errors. This implies that the theoretical predictions of the generalized KZM theory, which assumes isolation from the environment, applies beyond its original scope to an open system.
  arXiv  Detail & Related papers  (2020-01-31T02:55:35Z)
• Quantum decoherence by Coulomb interaction [58.720142291102135]
  We present an experimental study of the Coulomb-induced decoherence of free electrons in a superposition state in a biprism electron interferometer close to a semiconducting and metallic surface. The results will enable the determination and minimization of specific decoherence channels in the design of novel quantum instruments.
  arXiv  Detail & Related papers  (2020-01-17T04:11:44Z)

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.