Quantum Skyrmions in general quantum channels: topological noise rejection and the discretization of quantum information

• URL: http://arxiv.org/abs/2410.23789v1
• Date: Thu, 31 Oct 2024 10:15:52 GMT
• Title: Quantum Skyrmions in general quantum channels: topological noise rejection and the discretization of quantum information
• Authors: Robert de Mello Koch, Bo-Qiang Lu, Pedro Ornelas, Isaac Nape, Andrew Forbes,
• Abstract summary: The topology of a pure state of two entangled photons is leveraged to provide a discretization of quantum information. We develop a noise model that exploits the specific form of such topological wave functions. We show that noise affecting both photons can be recast as a position-dependent perturbation affecting only the photon in the polarization state.
• Score: 0.0
• License:
• Abstract: The topology of a pure state of two entangled photons is leveraged to provide a discretization of quantum information. Since discrete signals are inherently more resilient to the effects of perturbations, this discrete class of entanglement observables may offer an advantage against noise. Establishing this is the primary objective of this paper. We develop a noise model that exploits the specific form of such topological wave functions - an entangled state of two photons with one in an orbital angular momentum state and the other in a polarization state. We show that noise affecting both photons can be recast as a position-dependent perturbation affecting only the photon in the polarization state. This approach allows us to utilize both the language and concepts used in studying noisy qubits, as well as recent advances in quantum polarimetry. By adding noise to a finite-dimensional Hilbert space of polarization states, we can describe the noise using quantum operations expressed through appropriate Krauss operators, whose structure is determined by quantum polarimetry. For non-depolarizing noise, we provide an argument based on homotopic maps that demonstrates the topology's resilience to noise. For depolarizing noise, numerical studies using the quantum channel description show that the discrete entanglement signal remains completely resilient. Finally, we identify sources of local noise that can destabilize the topology. This foundational work establishes a framework for understanding how topology enhances the resilience of quantum information, directly impacting the distribution of information through entanglement in noisy environments, such as quantum computers and quantum networks.

Related papers

• Quantum error correction of motional dephasing using optical dressing [1.8894050583899684]
  We demonstrate the effectiveness of a novel protocol on a collective quantum superposition state known as a Rydberg polariton. We show how our protocol via optical dressing using Raman lasers cancels dephasing and enhances coherence times by more than an order of magnitude.
  arXiv  Detail & Related papers  (2024-09-07T09:15:41Z)
• Realizing fracton order from long-range quantum entanglement in programmable Rydberg atom arrays [45.19832622389592]
  Storing quantum information requires battling quantum decoherence, which results in a loss of information over time. To achieve error-resistant quantum memory, one would like to store the information in a quantum superposition of degenerate states engineered in such a way that local sources of noise cannot change one state into another. We show that this platform also allows to detect and correct certain types of errors en route to the goal of true error-resistant quantum memory.
  arXiv  Detail & Related papers  (2024-07-08T12:46:08Z)
• 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)
• Power Characterization of Noisy Quantum Kernels [52.47151453259434]
  We show that noise may make quantum kernel methods to only have poor prediction capability, even when the generalization error is small. We provide a crucial warning to employ noisy quantum kernel methods for quantum computation.
  arXiv  Detail & Related papers  (2024-01-31T01:02:16Z)
• Quantum error mitigation for Fourier moment computation [49.1574468325115]
  This paper focuses on the computation of Fourier moments within the context of a nuclear effective field theory on superconducting quantum hardware. The study integrates echo verification and noise renormalization into Hadamard tests using control reversal gates. The analysis, conducted using noise models, reveals a significant reduction in noise strength by two orders of magnitude.
  arXiv  Detail & Related papers  (2024-01-23T19:10:24Z)
• Sensing microscopic noise events by frequent quantum measurements [3.4367812334545165]
  We propose and experimentally demonstrate a method allowing us to unravel microscopic noise events that affect a continuous quantum variable. This method proves the possibility of employing photons as quantum noise sensors and robust carriers of information.
  arXiv  Detail & Related papers  (2022-12-23T18:45:33Z)
• Self-consistent noise characterization of quantum devices [0.0]
  We develop an approach to reduce the quantum environment causing single-qubit dephasing to a simple yet predictive noise model. We demonstrate the power and limits of our approach by characterizing, with nanoscale spatial resolution, the noise experienced by two electronic spins in diamond.
  arXiv  Detail & Related papers  (2022-10-17T19:10:56Z)
• 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)
• 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)
• Spectral characterization of non-Gaussian quantum noise: Keldysh approach and application to photon shot noise [17.927258551700596]
  We show how the Keldysh approach to quantum noise characterization can be usefully employed to characterize frequency-dependent noise. We show that the quantum bispectrum can be a powerful tool for revealing distinctive non-classical noise properties.
  arXiv  Detail & Related papers  (2020-03-09T05:26:52Z)

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.