Frequency- and dissipation-dependent entanglement advantage in spin-network Quantum Reservoir Computing

• URL: http://arxiv.org/abs/2403.08998v2
• Date: Fri, 18 Oct 2024 23:23:27 GMT
• Title: Frequency- and dissipation-dependent entanglement advantage in spin-network Quantum Reservoir Computing
• Authors: Youssef Kora, Hadi Zadeh-Haghighi, Terrence C Stewart, Khabat Heshami, Christoph Simon,
• Abstract summary: We study the performance of an Ising spin network for quantum reservoir computing (QRC) in linear and non-linear memory tasks. We find that quantum entanglement empowers a spin-network quantum reservoir to remember a greater number of temporal features.
• Score: 0.686758336057631
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the performance of an Ising spin network for quantum reservoir computing (QRC) in linear and non-linear memory tasks. We investigate the extent to which quantumness enhances performance by monitoring the behaviour of quantum entanglement, which we quantify by the partial transpose of the density matrix. In the most general case where the effects of dissipation are incorporated, our results indicate that the strength of the entanglement advantage depends on the frequency of the input signal; the benefit of entanglement is greater with more rapidly fluctuating signals, whereas a low-frequency input is better suited to a non-entangled reservoir. This may be understood as a condition for an entanglement advantage to manifest itself: the system's quantum memory must survive for long enough for the temporal structure of the input signal to reveal itself. We also find that quantum entanglement empowers a spin-network quantum reservoir to remember a greater number of temporal features.

Related papers

• Quantum reservoir computing induced by controllable damping [0.9374652839580183]
  We propose an algorithm for inducing damping by applying a controlled rotation to each qubit in a quantum reservoir.<n>It enables tunable, circuit-level amplitude amplification of the zero state.<n>We show that quantum correlations between qubits provide an improvement in terms of memory retention.
  arXiv  Detail & Related papers  (2025-08-20T11:18:57Z)
• Observation of Full Hierarchy of Temporal Quantum Correlations with a Superconducting Qubit [0.0]
  Temporal quantum correlations provide an intriguing way of testing quantumness at the macroscopic level.<n>By manipulating the dynamics of a superconducting qubit, we observe the full hierarchy of temporal quantum correlations.<n>We show that the rich dynamics of the temporal quantum correlations, such as sudden death or revival of temporal steering, provides a useful and unique measure for benchmarking qubits on a realistic circuit.
  arXiv  Detail & Related papers  (2025-05-02T16:37:14Z)
• Statistical noise enhances quantumness benefits in spin-network quantum reservoir computing [0.0]
  We investigate the effect of statistical noise in spin-network QRC on the possible performance benefits conferred by quantumness. We find that reservoirs which enjoy a finite degree of quantum entanglement and coherence are more stable against the adverse effects of statistical noise on performance.
  arXiv  Detail & Related papers  (2025-04-24T17:50:51Z)
• Input-dependence in quantum reservoir computing [4.903263899016404]
  Quantum reservoir computing is an emergent field in which quantum dynamical systems are exploited for temporal information processing. In previous work, it was found a feature that makes a quantum reservoir valuable: contractive dynamics of the quantum reservoir channel toward input-dependent fixed points. This work contributes to analyzing valuable quantum reservoirs in terms of their input dependence.
  arXiv  Detail & Related papers  (2024-12-11T11:59:11Z)
• Impact of leakage to the dynamic of a ST$_0$ qubit implemented on a Double Quantum Dot device [0.0]
  We study the impact of leakage during the gate time evolution of a spin qubit encoded in a double quantum dot device. We prove that, in the weak interaction regime, leakage introduces a shift in the phase of the time evolution operator. This is crucial for running fault-tolerant algorithms and is beneficial for Quantum Error Mitigation techniques.
  arXiv  Detail & Related papers  (2024-11-28T14:34:23Z)
• Quantum Advantage in Distributed Sensing with Noisy Quantum Networks [37.23288214515363]
  We show that quantum advantage in distributed sensing can be achieved with noisy quantum networks. We show that while entanglement is needed for this quantum advantage, genuine multipartite entanglement is generally unnecessary.
  arXiv  Detail & Related papers  (2024-09-25T16:55:07Z)
• The curse of random quantum data [62.24825255497622]
  We quantify the performances of quantum machine learning in the landscape of quantum data. We find that the training efficiency and generalization capabilities in quantum machine learning will be exponentially suppressed with the increase in qubits. Our findings apply to both the quantum kernel method and the large-width limit of quantum neural networks.
  arXiv  Detail & Related papers  (2024-08-19T12:18:07Z)
• Capacities of quantum Markovian noise for large times [8.302146576157497]
  Given a quantum Markovian noise model, we study the maximum dimension of a classical or quantum system that can be stored for arbitrarily large time. We show that, unlike the fixed time setting, in the limit of infinite time, the classical and quantum capacities are characterized by efficiently computable properties of the peripheral spectrum of the quantum channel.
  arXiv  Detail & Related papers  (2024-07-31T19:02:50Z)
• Trade-off between Noise and Banding in a Quantum Adder with Qudits [0.0]
  Quantum addition based on the quantum Fourier transform can be an integral part of a quantum circuit. We analytically prove an upper bound on the number of the controlled rotation gates required to accomplish the quantum addition up to an arbitrary defect. We demonstrate that utilizing magnetic fields to prepare an initial state that evolves according to a one-dimensional spin chain can be a potential technique to implement quantum addition circuits in many-body systems.
  arXiv  Detail & Related papers  (2023-10-17T18:22:23Z)
• Entanglement Distribution in Quantum Repeater with Purification and Optimized Buffer Time [53.56179714852967]
  We explore entanglement distribution using quantum repeaters with optimized buffer time. We observe that increasing the number of memories on end nodes leads to a higher entanglement distribution rate per memory. When imperfect operations are considered, however, we make the surprising observation that the per-memory entanglement rate decreases with increasing number of memories.
  arXiv  Detail & Related papers  (2023-05-23T23:23:34Z)
• Exploring quantum mechanical advantage for reservoir computing [0.0]
  We establish a link between quantum properties of a quantum reservoir and its linear short-term memory performance. We find that a high degree of entanglement in the reservoir is a prerequisite for a more complex reservoir dynamics. We discuss the effect of dephasing in the performance of physical quantum reservoirs.
  arXiv  Detail & Related papers  (2023-02-07T17:07:28Z)
• QuanGCN: Noise-Adaptive Training for Robust Quantum Graph Convolutional Networks [124.7972093110732]
  We propose quantum graph convolutional networks (QuanGCN), which learns the local message passing among nodes with the sequence of crossing-gate quantum operations. To mitigate the inherent noises from modern quantum devices, we apply sparse constraint to sparsify the nodes' connections. Our QuanGCN is functionally comparable or even superior than the classical algorithms on several benchmark graph datasets.
  arXiv  Detail & Related papers  (2022-11-09T21:43:16Z)
• Noisy Quantum Kernel Machines [58.09028887465797]
  An emerging class of quantum learning machines is that based on the paradigm of quantum kernels. We study how dissipation and decoherence affect their performance. We show that decoherence and dissipation can be seen as an implicit regularization for the quantum kernel machines.
  arXiv  Detail & Related papers  (2022-04-26T09:52:02Z)
• Entanglement from tensor networks on a trapped-ion QCCD quantum computer [2.943524728957949]
  We experimentally demonstrate a significant benefit of this approach to quantum simulation. In addition to all correlation functions, the entanglement structure of an infinite system is conveniently encoded within a small register of "bond qubits" We quantitatively determine the near-critical entanglement entropy of a correlated spin chain directly in the thermodynamic limit.
  arXiv  Detail & Related papers  (2021-04-22T18:00:00Z)
• 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)
• 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)

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.