Chaotic fluctuations in a universal set of transmon qubit gates

• URL: http://arxiv.org/abs/2311.14592v2
• Date: Tue, 23 Jan 2024 11:15:27 GMT
• Title: Chaotic fluctuations in a universal set of transmon qubit gates
• Authors: Daniel Basilewitsch, Simon-Dominik B\"orner, Christoph Berke, Alexander Altland, Simon Trebst, Christiane P. Koch
• Abstract summary: Transmon qubits arise from the quantization of nonlinear resonators. Fast entangling gates, operating at speeds close to the so-called quantum speed limit, contain transient regimes where the dynamics indeed becomes partially chaotic for just two transmons.
• Score: 37.69303106863453
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: Transmon qubits arise from the quantization of nonlinear resonators, systems that are prone to the buildup of strong, possibly chaotic, fluctuations. Such instabilities will likely affect fast gate operations which involve the transient population of higher excited states outside the computational subspace. Here we show that a statistical analysis of the instantaneous eigenphases of the time evolution operator, in particular of their curvatures, allows for identifying the subspace affected by chaotic fluctuations. Our analysis shows that fast entangling gates, operating at speeds close to the so-called quantum speed limit, contain transient regimes where the dynamics indeed becomes partially chaotic for just two transmons.

Related papers

• Infinitely fast critical dynamics: Teleportation through temporal rare regions in monitored quantum circuits [0.0]
  spatially correlated fluctuations in the measurement rate disrupt the volume-law phase for low measurement rates. At a critical measurement rate, they give rise to an entanglement phase transition with "ultrafast" dynamics. We provide a physical interpretation of these phases, and support it with extensive numerical simulations of information propagation and entanglement dynamics in stabilizer circuits.
  arXiv  Detail & Related papers  (2024-11-05T19:00:11Z)
• Smoking-gun signatures of non-Markovianity of a superconducting qubit [0.0]
  We describe temporally correlated noise processes that influence the idle evolution of a superconducting transmon qubit. We show how a circuit Hamiltonian can be derived for transverse noise affecting the qubit.
  arXiv  Detail & Related papers  (2023-02-17T19:00:06Z)
• Autonomous coherence protection of a two-level system in a fluctuating environment [68.8204255655161]
  We re-examine a scheme originally intended to remove the effects of static Doppler broadening from an ensemble of non-interacting two-level systems (qubits) We demonstrate that this scheme is far more powerful and can also protect a single (or even an ensemble) qubit's energy levels from noise which depends on both time and space.
  arXiv  Detail & Related papers  (2023-02-08T01:44:30Z)
• Reminiscence of classical chaos in driven transmons [117.851325578242]
  We show that even off-resonant drives can cause strong modifications to the structure of the transmon spectrum rendering a large part of it chaotic. Results lead to a photon number threshold characterizing the appearance of chaos-induced quantum demolition effects.
  arXiv  Detail & Related papers  (2022-07-19T16:04:46Z)
• Stabilizing and improving qubit coherence by engineering noise spectrum of two-level systems [52.77024349608834]
  Superconducting circuits are a leading platform for quantum computing. Charge fluctuators inside amorphous oxide layers contribute to both low-frequency $1/f$ charge noise and high-frequency dielectric loss. We propose to mitigate those harmful effects by engineering the relevant TLS noise spectral densities.
  arXiv  Detail & Related papers  (2022-06-21T18:37:38Z)
• Suppressing classical noise in the accelerated geometric phase gate by optimized dynamical decoupling [0.0]
  We propose an accelerated adiabatic quantum gate based on the Berry phase, the transitionless driving, and the dynamical decoupling. It reconciles a high fidelity with a high speed in the presence of control noise or imperfection.
  arXiv  Detail & Related papers  (2022-05-18T03:05:16Z)
• Noise-Resilient Phase Transitions and Limit-Cycles in Coupled Kerr Oscillators [0.0]
  Driven-dissipative quantum many-body systems have been the subject of many studies in recent years. We investigate the Green's function and correlation of the cavity modes in different regions. Our results shed light on the emergence of dissipative phase transitions in open quantum systems.
  arXiv  Detail & Related papers  (2021-06-08T01:46:01Z)
• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits [58.720142291102135]
  We simulate a noisy quantum Fourier transform processor with up to 21 qubits. We take into account microscopic dissipative processes rather than relying on digital error models. We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
  arXiv  Detail & Related papers  (2021-02-08T14:55:44Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)

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.