Managing rogue quantum amplitudes: a control perspective in quantum walks

• URL: http://arxiv.org/abs/2309.09606v1
• Date: Mon, 18 Sep 2023 09:24:01 GMT
• Title: Managing rogue quantum amplitudes: a control perspective in quantum walks
• Authors: A. R. C. Buarque and E. P. Raposo
• Abstract summary: We investigate the emergence of rogue quantum amplitudes in discrete-time quantum walks (DTQWs) influenced by phase disorder. Our study reveals the statistics of occupation probability amplitudes in space and time, uncovering optimal disorder regimes that favor rogue wave events.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the emergence of rogue quantum amplitudes in discrete-time quantum walks (DTQWs) influenced by phase disorder. Our study reveals the statistics of occupation probability amplitudes in space and time, uncovering optimal disorder regimes that favor rogue wave events. Through numerical simulations, we demonstrate that the probability of rogue waves increases with quantum coins close to the Pauli-Z choice, regardless the disorder degree. Conversely, for coins near Pauli-X rogue events are scarce, except under weak disorder. A monotonic threshold is observed between rare- and high-probability rogue wave regimes, depending on the quantum coin. We provide a comprehensive analysis of the coin-disorder interplay to rogue wave events. Our findings shed light on the possible control of extreme quantum amplitudes through quantum coins in disordered DTQWs.

Related papers

• The multimode conditional quantum Entropy Power Inequality and the squashed entanglement of the extreme multimode bosonic Gaussian channels [53.253900735220796]
  Inequality determines the minimum conditional von Neumann entropy of the output of the most general linear mixing of bosonic quantum modes. Bosonic quantum systems constitute the mathematical model for the electromagnetic radiation in the quantum regime.
  arXiv  Detail & Related papers  (2024-10-18T13:59:50Z)
• Quantum Control for Zeno effect with noises [0.0]
  The quantum Zeno effect is a distinctive phenomenon in quantum mechanics, describing the nontrivial effect of frequent projective measurements on hindering the evolution of a quantum system. This research studies the physical mechanism for the decay of the quantum Zeno effect in the presence of noises.
  arXiv  Detail & Related papers  (2024-02-20T19:08:16Z)
• Protecting quantum correlations of negative quantum states using weak measurement under non-Markovian noise [0.0]
  Weak measurement (WM) and quantum measurement reversal (QMR) are crucial in protecting the collapse of quantum states. We study the quantum correlations, maximal fidelity, and fidelity deviation of the two-qubit negative quantum states developed using discrete Wigner functions. Some negative quantum states perform better with WM and QMR than the Bell state for different cases under evolution via noisy quantum channels.
  arXiv  Detail & Related papers  (2023-09-12T11:19:20Z)
• System-environment dynamics of GHZ-like states in noninertial frames [14.401323451758975]
  Quantum coherence, quantum entanglement and quantum nonlocality are important resources in quantum information precessing. We study the dynamical evolution of the three-qubit GHZ-like states in non-inertial frame when one and/or two qubits undergo decoherence.
  arXiv  Detail & Related papers  (2022-12-30T03:36:48Z)
• Out-of-time-order correlator in the quantum Rabi model [62.997667081978825]
  We show that out-of-time-order correlator derived from the Loschmidt echo signal quickly saturates in the normal phase. We show that the effective time-averaged dimension of the quantum Rabi system can be large compared to the spin system size.
  arXiv  Detail & Related papers  (2022-01-17T10:56:57Z)
• The effect of quantum noise on algorithmic perfect quantum state transfer on NISQ processors [0.0]
  We investigate the influence of quantum noise on hitting time and fidelity of a typical quantum walk problem. We find that Pauli noise mostly smears out a peak in the fidelity of excitation transfer, while crosstalks between qubits mostly affect the hitting time.
  arXiv  Detail & Related papers  (2021-10-28T14:25:09Z)
• Probing coherence and noise tolerance in discrete-time quantum walks: unveiling self-focusing and breathing dynamics [0.0]
  We study the consequences of a short-time (instantaneous) noise while an intensity-dependent phase acquisition is associated with a qubit propagating on $N-cycle. By employing quantum coherence measures, we report emerging unstable regimes in which hitherto unknown quantum walks arise.
  arXiv  Detail & Related papers  (2020-10-28T23:37:59Z)
• Quantum information spreading in a disordered quantum walk [50.591267188664666]
  We design a quantum probing protocol using Quantum Walks to investigate the Quantum Information spreading pattern. We focus on the coherent static and dynamic disorder to investigate anomalous and classical transport. Our results show that a Quantum Walk can be considered as a readout device of information about defects and perturbations occurring in complex networks.
  arXiv  Detail & Related papers  (2020-10-20T20:03:19Z)
• Boundaries of quantum supremacy via random circuit sampling [69.16452769334367]
  Google's recent quantum supremacy experiment heralded a transition point where quantum computing performed a computational task, random circuit sampling. We examine the constraints of the observed quantum runtime advantage in a larger number of qubits and gates.
  arXiv  Detail & Related papers  (2020-05-05T20:11:53Z)
• Quantum noise protects quantum classifiers against adversaries [120.08771960032033]
  Noise in quantum information processing is often viewed as a disruptive and difficult-to-avoid feature, especially in near-term quantum technologies. We show that by taking advantage of depolarisation noise in quantum circuits for classification, a robustness bound against adversaries can be derived. This is the first quantum protocol that can be used against the most general adversaries.
  arXiv  Detail & Related papers  (2020-03-20T17:56:14Z)
• Jumptime unraveling of Markovian open quantum systems [68.8204255655161]
  We introduce jumptime unraveling as a distinct description of open quantum systems. quantum jump trajectories emerge, physically, from continuous quantum measurements. We demonstrate that quantum trajectories can also be ensemble-averaged at specific jump counts.
  arXiv  Detail & Related papers  (2020-01-24T09:35:32Z)

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.