Quantum Reliability
- URL: http://arxiv.org/abs/2305.08461v4
- Date: Mon, 23 Oct 2023 01:41:05 GMT
- Title: Quantum Reliability
- Authors: L.X.Cui, Y-M.Du, and C.P.Sun
- Abstract summary: Quantum technology has led to increasingly sophisticated and complex quantum devices.
This study provides a metric of quantum reliability by shifting the focus from state-distinguishing to trajectory-distinguishing.
In contrast to the conventional notion of classical reliability, which is evaluated using probabilistic measurements of binary logical variables, quantum reliability is grounded in the quantum probability amplitude or wave function.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum technology has led to increasingly sophisticated and complex quantum
devices. Assessing their reliability (quantum reliability) is an important
issue. Although reliability theory for classical devices has been well
developed in industry and technology, a suitable metric on quantum reliability
and its loss has not been systematically investigated. Since reliability-loss
depends on the process, quantum fidelity does not always fully depict it. This
study provides a metric of quantum reliability by shifting the focus from
state-distinguishing to trajectory-distinguishing. In contrast to the
conventional notion of classical reliability, which is evaluated using
probabilistic measurements of binary logical variables, quantum reliability is
grounded in the quantum probability amplitude or wave function. This research
provides a universal framework for reliability theory encompassing both
classical and quantum devices. It offers a new perspective on quantum
engineering by elucidating how intensely the real quantum process a device
undergoes influences its performance.
Related papers
- On Quantum Reliability Characterizing Systematic Errors in Quantum Sensing [0.0]
We utilize quantum reliability as a metric to evaluate quantum sensor's performance based solely on the apparatus itself.
We derive a general relationship among reliability, sensitivity, and systematic error, and demonstrate this relationship using a typical quantum sensing process.
arXiv Detail & Related papers (2024-10-28T05:50:44Z) - Quantum resources of quantum and classical variational methods [0.48212500317840945]
We show how the concept of non-stabilizerness, or magic, can create a bridge between quantum information and variational techniques.
We show that energy accuracy is a necessary but not always sufficient condition for accuracy in non-stabilizerness.
Our findings form a basis for a universal expressivity characterization of both quantum and classical variational methods.
arXiv Detail & Related papers (2024-09-19T18:00:00Z) - 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) - Revisiting Nancy Cartwright's Notion of Reliability: Addressing Quantum
Devices' Noise [0.0]
This addendum seeks to enrich the discussion by highlighting the challenges and implications of assessing quantum device reliability.
I show that when applied to the realm of quantum devices, such as Google's Sycamore quantum processor, these well-established notions demand careful adaptation and consideration.
arXiv Detail & Related papers (2023-08-09T11:24:58Z) - Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
We explore the applicability of quantum-data learning to practical problems in high-energy physics.
We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states.
The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
arXiv Detail & Related papers (2023-06-29T18:00:01Z) - Theory of Quantum Generative Learning Models with Maximum Mean
Discrepancy [67.02951777522547]
We study learnability of quantum circuit Born machines (QCBMs) and quantum generative adversarial networks (QGANs)
We first analyze the generalization ability of QCBMs and identify their superiorities when the quantum devices can directly access the target distribution.
Next, we prove how the generalization error bound of QGANs depends on the employed Ansatz, the number of qudits, and input states.
arXiv Detail & Related papers (2022-05-10T08:05:59Z) - Improved Quantum Algorithms for Fidelity Estimation [77.34726150561087]
We develop new and efficient quantum algorithms for fidelity estimation with provable performance guarantees.
Our algorithms use advanced quantum linear algebra techniques, such as the quantum singular value transformation.
We prove that fidelity estimation to any non-trivial constant additive accuracy is hard in general.
arXiv Detail & Related papers (2022-03-30T02:02:16Z) - Quantum Local Differential Privacy and Quantum Statistical Query Model [0.7673339435080445]
Quantum statistical queries provide a theoretical framework for investigating the computational power of a learner with limited quantum resources.
In this work, we establish an equivalence between quantum statistical queries and quantum differential privacy in the local model.
We consider the task of quantum multi-party computation under local differential privacy.
arXiv Detail & Related papers (2022-03-07T18:38:02Z) - On exploring the potential of quantum auto-encoder for learning quantum systems [60.909817434753315]
We devise three effective QAE-based learning protocols to address three classically computational hard learning problems.
Our work sheds new light on developing advanced quantum learning algorithms to accomplish hard quantum physics and quantum information processing tasks.
arXiv Detail & Related papers (2021-06-29T14:01:40Z) - Experimental study of quantum uncertainty from lack of information [3.901856932788151]
The uncertainty in the classical domain comes from the lack of information about the exact state of the system.
In this paper we investigate the issue experimentally by implementing the corresponding two-dimensional and three-dimensional guessing games.
Our results confirm that within the guessing-game framework, the quantum uncertainty to a large extent relies on the fact that quantum information determining the key properties of the game is stored in the degrees of freedom that remain inaccessible to the guessing party.
arXiv Detail & Related papers (2021-05-19T09:15:27Z) - 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.