Noise Suppression via Coherent Quantum Feedback: a Schr{ö}dinger Picture Approach

• URL: http://arxiv.org/abs/2409.05431v1
• Date: Mon, 9 Sep 2024 08:31:22 GMT
• Title: Noise Suppression via Coherent Quantum Feedback: a Schr{ö}dinger Picture Approach
• Authors: Shikun Zhang, Guofeng Zhang,
• Abstract summary: We explore the possibility of achieving noise suppression for finite-dimensional quantum systems through coherent feedback. For a quantum plant which is expected to evolve according to a target trajectory, noise effect potentially deforms the plant state trajectory from the desired one. We present several conditions on coherent feedback protocols under which noise-affected trajectories can be driven back towards desired ones.
• Score: 19.496355280111004
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this article, we explore the possibility of achieving noise suppression for finite-dimensional quantum systems through coherent feedback. For a quantum plant which is expected to evolve according to a target trajectory, noise effect potentially deforms the plant state trajectory from the desired one. It is then hoped that a coherent feedback protocol can be designed that counteracts noise. In terms of coping with transient noise, we present several conditions on coherent feedback protocols under which noise-affected trajectories can be driven back towards desired ones asymptotically. As for rejecting persistent noise, conditions on protocols are given which ensure that the error between the target and feedback-corrected trajectories in the long-time limit can be effectively suppressed. Moreover, a possible construction of coherent feedback protocols which satisfies the given conditions is provided. Our theoretical results are illustrated by an example which involves a two-qubit plant and a two-level controller.

Related papers

• Robust preparation of ground state phases under noisy imaginary time evolution [0.0]
  We consider a non-unitary ITE "circuit" subjected to a variety of noise models. We find that the ground state order and associated phase transition persist in the presence of noise.
  arXiv  Detail & Related papers  (2024-06-06T17:29:12Z)
• Physics-informed tracking of qubit fluctuations [22.798654837751112]
  We implement a physics-informed and an adaptive Bayesian estimation strategy and apply them in real time to a semiconductor spin qubit. The strategy propagates a probability distribution inside the quantum controller according to the Fokker-Planck equation. The strategy can be applied to other qubit platforms by tailoring the appropriate update equation to capture their distinct noise sources.
  arXiv  Detail & Related papers  (2024-04-14T10:41:48Z)
• Lindblad-like quantum tomography for non-Markovian quantum dynamical maps [46.350147604946095]
  We introduce Lindblad-like quantum tomography (L$ell$QT) as a quantum characterization technique of time-correlated noise in quantum information processors. We discuss L$ell$QT for the dephasing dynamics of single qubits in detail, which allows for a neat understanding of the importance of including multiple snapshots of the quantum evolution in the likelihood function.
  arXiv  Detail & Related papers  (2024-03-28T19:29:12Z)
• Characterization of coherent errors in gate layers with robustness to Pauli noise [0.0]
  State-of-the-art characterization protocols often focus on incoherent noise and eliminate coherent errors when using Pauli or Clifford twirling techniques. We motivate the extension of an incoherent local Pauli noise model to coherent errors and present a practical characterization protocol for an arbitrary gate layer.
  arXiv  Detail & Related papers  (2023-07-17T18:00:02Z)
• Noise Decoupling for State Transfer in Continuous Variable Systems [0.0]
  We consider a toy model of noise channels, given by a random mixture of unitary operations, for state transfer problems with continuous variables. For random noise, the target state can be recovered while for the general noise profile, the annihilation can be done when the interventions are fast compared to the noise. We show that the state at the transmitter can be written as a convolution of the target state and a filter function characterizing the noise manipulation scheme.
  arXiv  Detail & Related papers  (2023-07-05T06:54:40Z)
• Semi-device independent nonlocality certification for near-term quantum networks [46.37108901286964]
  Bell tests are the most rigorous method for verifying entanglement in quantum networks. If there is any signaling between the parties, then the violation of Bell inequalities can no longer be used. We propose a semi-device independent protocol that allows us to numerically correct for effects of correlations in experimental probability distributions.
  arXiv  Detail & Related papers  (2023-05-23T14:39:08Z)
• Quantum state-preparation control in noisy environment via most-likely paths [1.9260081982051918]
  We consider an alternative view of a noise-affected open quantum system, where the average dynamics can be unravelled into hypothetical noisy trajectories. We adopt the most-likely path technique for quantum state-preparation, constructing a path for noise variables and finding control functions. As a proof of concept, we apply the method to a qubit-state preparation under a dephasing noise and analytically solve for controlled Rabi drives for arbitrary target states.
  arXiv  Detail & Related papers  (2022-09-27T05:42:09Z)
• Suppressing Amplitude Damping in Trapped Ions: Discrete Weak Measurements for a Non-unitary Probabilistic Noise Filter [62.997667081978825]
  We introduce a low-overhead protocol to reverse this degradation. We present two trapped-ion schemes for the implementation of a non-unitary probabilistic filter against amplitude damping noise. This filter can be understood as a protocol for single-copy quasi-distillation.
  arXiv  Detail & Related papers  (2022-09-06T18:18:41Z)
• Noise effects on purity and quantum entanglement in terms of physical implementability [27.426057220671336]
  Quantum decoherence due to imperfect manipulation of quantum devices is a key issue in the noisy intermediate-scale quantum (NISQ) era. Standard analyses in quantum information and quantum computation use error rates to parameterize quantum noise channels. We propose to characterize the decoherence effect of a noise channel by the physical implementability of its inverse.
  arXiv  Detail & Related papers  (2022-07-04T13:35:17Z)

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.