Creating and concentrating quantum resource states in noisy environments
using a quantum neural network
- URL: http://arxiv.org/abs/2101.05994v1
- Date: Fri, 15 Jan 2021 07:18:06 GMT
- Title: Creating and concentrating quantum resource states in noisy environments
using a quantum neural network
- Authors: Tanjung Krisnanda, Sanjib Ghosh, Tomasz Paterek, Timothy C. H. Liew
- Abstract summary: We provide a versatile unified state preparation scheme based on a driven quantum network composed of randomly-coupled fermionic nodes.
We show that our method is robust and can be utilized to create almost perfect maximally entangled, NOON, W, cluster, and discorded states.
In very noisy systems, where noise is comparable to the driving strength, we show how to concentrate entanglement by mixing more states in a larger network.
- Score: 2.834895018689047
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum information processing tasks require exotic quantum states as a
prerequisite. They are usually prepared with many different methods tailored to
the specific resource state. Here we provide a versatile unified state
preparation scheme based on a driven quantum network composed of
randomly-coupled fermionic nodes. The output of such a system is then
superposed with the help of linear mixing where weights and phases are trained
in order to obtain desired output quantum states. We explicitly show that our
method is robust and can be utilized to create almost perfect maximally
entangled, NOON, W, cluster, and discorded states. Furthermore, the treatment
includes energy decay in the system as well as dephasing and depolarization.
Under these noisy conditions we show that the target states are achieved with
high fidelity by tuning controllable parameters and providing sufficient
strength to the driving of the quantum network. Finally, in very noisy systems,
where noise is comparable to the driving strength, we show how to concentrate
entanglement by mixing more states in a larger network.
Related papers
- Unconditionally decoherence-free quantum error mitigation by density matrix vectorization [4.2630430280861376]
We give a new paradigm of quantum error mitigation based on the vectorization of density matrices.
Our proposal directly changes the way of encoding information and maps the density matrices of noisy quantum states to noiseless pure states.
Our protocol requires no knowledge of the noise model, no ability to tune the noise strength, and no ancilla qubits for complicated controlled unitaries.
arXiv Detail & Related papers (2024-05-13T09:55:05Z) - Locally purified density operators for noisy quantum circuits [17.38734393793605]
We show that mixed states generated from noisy quantum circuits can be efficiently represented by locally purified density operators (LPDOs)
We present a mapping from LPDOs of $N$ qubits to projected entangled-pair states of size $2times N$ and introduce a unified method for managing virtual and Kraus bonds.
arXiv Detail & Related papers (2023-12-05T16:10:30Z) - Retrieving non-linear features from noisy quantum states [11.289924445850328]
In this paper, we analyze the feasibility and efficiency of extracting high-order moments from noisy states.
We first show that there exists a quantum protocol capable of accomplishing this task if and only if the underlying noise channel is invertible.
Our work contributes to a deeper understanding of how quantum noise could affect high-order information extraction and provides guidance on how to tackle it.
arXiv Detail & Related papers (2023-09-20T15:28:18Z) - Influence of noise in entanglement-based quantum networks [0.0]
We consider entanglement-based quantum networks, where multipartite entangled resource states are distributed and stored among the nodes.
We study the influence of noise in this process, where we consider imperfections in state preparation, memories, and measurements.
We find that in large networks, high-dimensional cluster states are favorable and lead to a significantly higher target state fidelity.
arXiv Detail & Related papers (2023-05-05T18:00:06Z) - The power of noisy quantum states and the advantage of resource dilution [62.997667081978825]
Entanglement distillation allows to convert noisy quantum states into singlets.
We show that entanglement dilution can increase the resilience of shared quantum states to local noise.
arXiv Detail & Related papers (2022-10-25T17:39:29Z) - Optimal quantum control via genetic algorithms for quantum state
engineering in driven-resonator mediated networks [68.8204255655161]
We employ a machine learning-enabled approach to quantum state engineering based on evolutionary algorithms.
We consider a network of qubits -- encoded in the states of artificial atoms with no direct coupling -- interacting via a common single-mode driven microwave resonator.
We observe high quantum fidelities and resilience to noise, despite the algorithm being trained in the ideal noise-free setting.
arXiv Detail & Related papers (2022-06-29T14:34:00Z) - 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) - Beating the classical phase precision limit using a quantum neuromorphic
platform [2.4937400423177767]
Phase measurement constitutes a key task in many fields of science, both in the classical and quantum regime.
Here we theoretically model the use of a quantum network, composed of a randomly coupled set of two-level systems, as a processing device for phase measurement.
We demonstrate phase precision scaling following the standard quantum limit, the Heisenberg limit, and beyond.
arXiv Detail & Related papers (2021-10-14T16:29:02Z) - Entangling Quantum Generative Adversarial Networks [53.25397072813582]
We propose a new type of architecture for quantum generative adversarial networks (entangling quantum GAN, EQ-GAN)
We show that EQ-GAN has additional robustness against coherent errors and demonstrate the effectiveness of EQ-GAN experimentally in a Google Sycamore superconducting quantum processor.
arXiv Detail & Related papers (2021-04-30T20:38:41Z) - Heterogeneous Multipartite Entanglement Purification for
Size-Constrained Quantum Devices [68.8204255655161]
Purifying entanglement resources after their imperfect generation is an indispensable step towards using them in quantum architectures.
Here we depart from the typical purification paradigm for multipartite states explored in the last twenty years.
We find that smaller sacrificial' states, like Bell pairs, can be more useful in the purification of multipartite states than additional copies of these same states.
arXiv Detail & Related papers (2020-11-23T19:00:00Z) - Entanglement Classification via Neural Network Quantum States [58.720142291102135]
In this paper we combine machine-learning tools and the theory of quantum entanglement to perform entanglement classification for multipartite qubit systems in pure states.
We use a parameterisation of quantum systems using artificial neural networks in a restricted Boltzmann machine (RBM) architecture, known as Neural Network Quantum States (NNS)
arXiv Detail & Related papers (2019-12-31T07:40:23Z)
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.