IEEE Transactions on Quantum Engineering最新文献

筛选
英文 中文
A Stable Hash Function Based on Parity-Dependent Quantum Walks With Memory (August 2023) 基于内存奇偶校验量子漫步的稳定哈希函数(2023 年 8 月)
IEEE Transactions on Quantum Engineering Pub Date : 2024-02-21 DOI: 10.1109/TQE.2024.3368073
Qing Zhou;Xueming Tang;Songfeng Lu;Hao Yang
{"title":"A Stable Hash Function Based on Parity-Dependent Quantum Walks With Memory (August 2023)","authors":"Qing Zhou;Xueming Tang;Songfeng Lu;Hao Yang","doi":"10.1109/TQE.2024.3368073","DOIUrl":"https://doi.org/10.1109/TQE.2024.3368073","url":null,"abstract":"In this article, we develop a generic controlled alternate quantum walk model by combining parity-dependent quantum walks with distinct arbitrary memory lengths and propose a hash function (called QHFM-P) based on this model. The statistical properties of the proposed scheme are stable with respect to the coin parameters of the underlying controlled quantum walks, and with certain parameter values, the collision resistance property of QHFM-P is better than that of the state-of-the-art hash functions based on discrete quantum walks. Moreover, the proposed hash function can also maintain near-ideal statistical performance when the input message is of small length. In addition, we derive a type of inappropriate initial states of hash functions based on 1-D one-particle quantum walks (with ordinary shift operator) on cycles, with which all messages will be mapped to the same hash value, regardless of the angles adopted by the coin parameters.","PeriodicalId":100644,"journal":{"name":"IEEE Transactions on Quantum Engineering","volume":"5 ","pages":"1-13"},"PeriodicalIF":0.0,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10443287","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140192066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Quantum-Classical Collaborative Training Architecture Based on Quantum State Fidelity 基于量子态保真度的量子-经典协同训练架构
IEEE Transactions on Quantum Engineering Pub Date : 2024-02-19 DOI: 10.1109/TQE.2024.3367234
Ryan L'Abbate;Anthony D'Onofrio;Samuel Stein;Samuel Yen-Chi Chen;Ang Li;Pin-Yu Chen;Juntao Chen;Ying Mao
{"title":"A Quantum-Classical Collaborative Training Architecture Based on Quantum State Fidelity","authors":"Ryan L'Abbate;Anthony D'Onofrio;Samuel Stein;Samuel Yen-Chi Chen;Ang Li;Pin-Yu Chen;Juntao Chen;Ying Mao","doi":"10.1109/TQE.2024.3367234","DOIUrl":"https://doi.org/10.1109/TQE.2024.3367234","url":null,"abstract":"Recent advancements have highlighted the limitations of current quantum systems, particularly the restricted number of qubits available on near-term quantum devices. This constraint greatly inhibits the range of applications that can leverage quantum computers. Moreover, as the available qubits increase, the computational complexity grows exponentially, posing additional challenges. Consequently, there is an urgent need to use qubits efficiently and mitigate both present limitations and future complexities. To address this, existing quantum applications attempt to integrate classical and quantum systems in a hybrid framework. In this article, we concentrate on quantum deep learning and introduce a collaborative classical-quantum architecture called co-TenQu. The classical component employs a tensor network for compression and feature extraction, enabling higher dimensional data to be encoded onto logical quantum circuits with limited qubits. On the quantum side, we propose a quantum-state-fidelity-based evaluation function to iteratively train the network through a feedback loop between the two sides. co-TenQu has been implemented and evaluated with both simulators and the IBM-Q platform. Compared to state-of-the-art approaches, co-TenQu enhances a classical deep neural network by up to 41.72% in a fair setting. In addition, it outperforms other quantum-based methods by up to 1.9 times and achieves similar accuracy while utilizing 70.59% fewer qubits.","PeriodicalId":100644,"journal":{"name":"IEEE Transactions on Quantum Engineering","volume":"5 ","pages":"1-14"},"PeriodicalIF":0.0,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10439653","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140328892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Bipartite Entanglement Capacity of Quantum Networks 论量子网络的双向纠缠能力
IEEE Transactions on Quantum Engineering Pub Date : 2024-02-16 DOI: 10.1109/TQE.2024.3366696
Gayane Vardoyan;Emily van Milligen;Saikat Guha;Stephanie Wehner;Don Towsley
{"title":"On the Bipartite Entanglement Capacity of Quantum Networks","authors":"Gayane Vardoyan;Emily van Milligen;Saikat Guha;Stephanie Wehner;Don Towsley","doi":"10.1109/TQE.2024.3366696","DOIUrl":"https://doi.org/10.1109/TQE.2024.3366696","url":null,"abstract":"We consider the problem of multipath entanglement distribution to a pair of nodes in a quantum network consisting of devices with nondeterministic entanglement swapping capabilities. Multipath entanglement distribution enables a network to establish end-to-end entangled links across any number of available paths with preestablished link-level entanglement. Probabilistic entanglement swapping, on the other hand, limits the amount of entanglement that is shared between the nodes; this is especially the case when, due to practical constraints, swaps must be performed in temporal proximity to each other. Limiting our focus to the case where only bipartite entanglement is generated across the network, we cast the problem as an instance of generalized flow maximization between two quantum end nodes wishing to communicate. We propose a mixed-integer quadratically constrained program (MIQCP) to solve this flow problem for networks with arbitrary topology. We then compute the overall network capacity, defined as the maximum number of Einstein–Podolsky–Rosen (EPR) states distributed to users per time unit, by solving the flow problem for all possible network states generated by probabilistic entangled link presence and absence, and subsequently by averaging over all network state capacities. The MIQCP can also be applied to networks with multiplexed links. While our approach for computing the overall network capacity has the undesirable property that the total number of states grows exponentially with link multiplexing capability, it nevertheless yields an exact solution that serves as an upper bound comparison basis for the throughput performance of more easily implementable yet nonoptimal entanglement routing algorithms.","PeriodicalId":100644,"journal":{"name":"IEEE Transactions on Quantum Engineering","volume":"5 ","pages":"1-14"},"PeriodicalIF":0.0,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10438882","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140309965","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Parallelizing Quantum Simulation With Decision Diagrams 利用决策图并行化量子模拟
IEEE Transactions on Quantum Engineering Pub Date : 2024-02-09 DOI: 10.1109/TQE.2024.3364546
Shaowen Li;Yusuke Kimura;Hiroyuki Sato;Masahiro Fujita
{"title":"Parallelizing Quantum Simulation With Decision Diagrams","authors":"Shaowen Li;Yusuke Kimura;Hiroyuki Sato;Masahiro Fujita","doi":"10.1109/TQE.2024.3364546","DOIUrl":"https://doi.org/10.1109/TQE.2024.3364546","url":null,"abstract":"Since people became aware of the power of quantum phenomena in the domain of traditional computation, a great number of complex problems that were once considered intractable in the classical world have been tackled. The downsides of quantum supremacy are its high cost and unpredictability. Numerous researchers are relying on quantum simulators running on classical computers. The critical obstacle facing classical computers in the task of quantum simulation is its limited memory space. Quantum simulation intrinsically models the state evolution of quantum subsystems. Qubits are mathematically constructed in the Hilbert space whose size grows exponentially. Consequently, the scalability of the straightforward statevector approach is limited. It has been proven effective in adopting decision diagrams (DDs) to mitigate the memory cost issue in various fields. In recent years, researchers have adapted DDs into different forms for representing quantum states and performing quantum calculations efficiently. This leads to the study of DD-based quantum simulation. However, their advantage of memory efficiency does not let it replace the mainstream statevector and tensor network-based approaches. We argue the reason is the lack of effective parallelization strategies in performing calculations on DDs. In this article, we explore several strategies for parallelizing DD operations with a focus on leveraging them for quantum simulations. The target is to find the optimal parallelization strategies and improve the performance of DD-based quantum simulation. Based on the experiment results, our proposed strategy achieves a 2–3 times faster simulation of Grover's algorithm and random circuits than the state-of-the-art single-thread DD-based simulator DDSIM.","PeriodicalId":100644,"journal":{"name":"IEEE Transactions on Quantum Engineering","volume":"5 ","pages":"1-12"},"PeriodicalIF":0.0,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10430382","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140104208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Rateless Protograph LDPC Codes for Quantum Key Distribution 用于量子密钥分发的无鼠 Protograph LDPC 编码
IEEE Transactions on Quantum Engineering Pub Date : 2024-02-02 DOI: 10.1109/TQE.2024.3361810
Alberto Tarable;Rudi Paolo Paganelli;Marco Ferrari
{"title":"Rateless Protograph LDPC Codes for Quantum Key Distribution","authors":"Alberto Tarable;Rudi Paolo Paganelli;Marco Ferrari","doi":"10.1109/TQE.2024.3361810","DOIUrl":"https://doi.org/10.1109/TQE.2024.3361810","url":null,"abstract":"Information reconciliation (IR) is a key step in quantum key distribution (QKD). In recent years, blind reconciliation based on low-density parity-check (LDPC) codes has replaced Cascade as a standard de facto since it guarantees efficient IR without a priori quantum bit error rate estimation and with limited interactivity between the parties, which is essential in high key-rate and long-distance QKD links. In this article, a novel blind reconciliation scheme based on rateless protograph LDPC codes is proposed. The rate adaptivity, essential for blind reconciliation, is obtained by progressively splitting LDPC check nodes, which ensures a number of degrees of freedom larger than puncturing in code design. The protograph nature of the LDPC codes allows us to use the same designed codes with a large variety of sifted-key lengths, enabling block length flexibility, which is important in largely varying key-rate link conditions. The code design is based on a new protograph discretized density evolution tool.","PeriodicalId":100644,"journal":{"name":"IEEE Transactions on Quantum Engineering","volume":"5 ","pages":"1-11"},"PeriodicalIF":0.0,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10418979","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140015165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Tools for the Analysis of Quantum Protocols Requiring State Generation Within a Time Window 分析要求在时间窗口内生成状态的量子协议的工具
IEEE Transactions on Quantum Engineering Pub Date : 2024-01-31 DOI: 10.1109/TQE.2024.3358674
Bethany Davies;Thomas Beauchamp;Gayane Vardoyan;Stephanie Wehner
{"title":"Tools for the Analysis of Quantum Protocols Requiring State Generation Within a Time Window","authors":"Bethany Davies;Thomas Beauchamp;Gayane Vardoyan;Stephanie Wehner","doi":"10.1109/TQE.2024.3358674","DOIUrl":"https://doi.org/10.1109/TQE.2024.3358674","url":null,"abstract":"Quantum protocols commonly require a certain number of quantum resource states to be available simultaneously. An important class of examples is quantum network protocols that require a certain number of entangled pairs. Here, we consider a setting in which a process generates a quantum resource state with some probability \u0000<inline-formula><tex-math>$p$</tex-math></inline-formula>\u0000 in each time step and stores it in a quantum memory that is subject to time-dependent noise. To maintain sufficient quality for an application, each resource state is discarded from the memory after \u0000<inline-formula><tex-math>$w$</tex-math></inline-formula>\u0000 time steps. Let \u0000<inline-formula><tex-math>$s$</tex-math></inline-formula>\u0000 be the number of desired resource states required by a protocol. We characterize the probability distribution \u0000<inline-formula><tex-math>$X_{(w,s)}$</tex-math></inline-formula>\u0000 of the ages of the quantum resource states, once \u0000<inline-formula><tex-math>$s$</tex-math></inline-formula>\u0000 states have been generated in a window \u0000<inline-formula><tex-math>$w$</tex-math></inline-formula>\u0000. Combined with a time-dependent noise model, knowledge of this distribution allows for the calculation of fidelity statistics of the \u0000<inline-formula><tex-math>$s$</tex-math></inline-formula>\u0000 quantum resources. We also give exact solutions for the first and second moments of the waiting time \u0000<inline-formula><tex-math>$tau _{(w,s)}$</tex-math></inline-formula>\u0000 until \u0000<inline-formula><tex-math>$s$</tex-math></inline-formula>\u0000 resources are produced within a window \u0000<inline-formula><tex-math>$w$</tex-math></inline-formula>\u0000, which provides information about the rate of the protocol. Since it is difficult to obtain general closed-form expressions for statistical quantities describing the expected waiting time \u0000<inline-formula><tex-math>$mathbb {E}(tau _{(w,s)})$</tex-math></inline-formula>\u0000 and the distribution \u0000<inline-formula><tex-math>$X_{(w,s)}$</tex-math></inline-formula>\u0000, we present two novel results that aid their computation in certain parameter regimes. The methods presented in this work can be used to analyze and optimize the execution of quantum protocols. Specifically, with an example of a blind quantum computing protocol, we illustrate how they may be used to infer \u0000<inline-formula><tex-math>$w$</tex-math></inline-formula>\u0000 and \u0000<inline-formula><tex-math>$p$</tex-math></inline-formula>\u0000 to optimize the rate of successful protocol execution.","PeriodicalId":100644,"journal":{"name":"IEEE Transactions on Quantum Engineering","volume":"5 ","pages":"1-20"},"PeriodicalIF":0.0,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10417724","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141430096","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Network Anomaly Detection Using Quantum Neural Networks on Noisy Quantum Computers 在噪声量子计算机上使用量子神经网络进行网络异常检测
IEEE Transactions on Quantum Engineering Pub Date : 2024-01-29 DOI: 10.1109/TQE.2024.3359574
Alon Kukliansky;Marko Orescanin;Chad Bollmann;Theodore Huffmire
{"title":"Network Anomaly Detection Using Quantum Neural Networks on Noisy Quantum Computers","authors":"Alon Kukliansky;Marko Orescanin;Chad Bollmann;Theodore Huffmire","doi":"10.1109/TQE.2024.3359574","DOIUrl":"https://doi.org/10.1109/TQE.2024.3359574","url":null,"abstract":"The escalating threat and impact of network-based attacks necessitate innovative intrusion detection systems. Machine learning has shown promise, with recent strides in quantum machine learning offering new avenues. However, the potential of quantum computing is tempered by challenges in current noisy intermediate-scale quantum era machines. In this article, we explore quantum neural networks (QNNs) for intrusion detection, optimizing their performance within current quantum computing limitations. Our approach includes efficient classical feature encoding, QNN classifier selection, and performance tuning leveraging current quantum computational power. This study culminates in an optimized multilayered QNN architecture for network intrusion detection. A small version of the proposed architecture was implemented on IonQ's Aria-1 quantum computer, achieving a notable 0.86 F1 score using the NF-UNSW-NB15 dataset. In addition, we introduce a novel metric, certainty factor, laying the foundation for future integration of uncertainty measures in quantum classification outputs. Moreover, this factor is used to predict the noise susceptibility of our quantum binary classification system.","PeriodicalId":100644,"journal":{"name":"IEEE Transactions on Quantum Engineering","volume":"5 ","pages":"1-11"},"PeriodicalIF":0.0,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10415536","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140014864","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
State Preparation on Quantum Computers via Quantum Steering 通过量子转向在量子计算机上制备状态
IEEE Transactions on Quantum Engineering Pub Date : 2024-01-24 DOI: 10.1109/TQE.2024.3358193
Daniel Volya;Prabhat Mishra
{"title":"State Preparation on Quantum Computers via Quantum Steering","authors":"Daniel Volya;Prabhat Mishra","doi":"10.1109/TQE.2024.3358193","DOIUrl":"https://doi.org/10.1109/TQE.2024.3358193","url":null,"abstract":"Quantum computers present a compelling platform for the study of open quantum systems, namely, the nonunitary dynamics of a system. Here, we investigate and report digital simulations of Markovian nonunitary dynamics that converge to a unique steady state. The steady state is programmed as a desired target state, yielding semblance to a quantum state preparation protocol. By delegating ancilla qubits and system qubits, the system state is driven to the target state by repeatedly performing the following steps: 1) executing a designated system–ancilla entangling circuit; 2) measuring the ancilla qubits; and 3) reinitializing ancilla qubits to known states through active reset. While the ancilla qubits are measured and reinitialized to known states, the system qubits undergo a nonunitary evolution and are steered from arbitrary initial states to desired target states. We show results of the method by preparing arbitrary qubit states and qutrit (three-level) states on contemporary quantum computers. We also demonstrate that the state convergence can be accelerated by utilizing the readouts of the ancilla qubits to guide the protocol in a nonblind manner. Our work serves as a nontrivial example that incorporates and characterizes essential operations, such as qubit reuse (qubit reset), entangling circuits, and measurement. These operations are not only vital for near-term noisy intermediate-scale quantum applications but are also crucial for realizing future error-correcting codes.","PeriodicalId":100644,"journal":{"name":"IEEE Transactions on Quantum Engineering","volume":"5 ","pages":"1-14"},"PeriodicalIF":0.0,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10413647","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140063485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimal Partitioning of Quantum Circuits Using Gate Cuts and Wire Cuts 利用门切割和线切割优化量子电路分区
IEEE Transactions on Quantum Engineering Pub Date : 2023-12-26 DOI: 10.1109/TQE.2023.3347106
Sebastian Brandhofer;Ilia Polian;Kevin Krsulich
{"title":"Optimal Partitioning of Quantum Circuits Using Gate Cuts and Wire Cuts","authors":"Sebastian Brandhofer;Ilia Polian;Kevin Krsulich","doi":"10.1109/TQE.2023.3347106","DOIUrl":"https://doi.org/10.1109/TQE.2023.3347106","url":null,"abstract":"A limited number of qubits, high error rates, and limited qubit connectivity are major challenges for effective near-term quantum computations. Quantum circuit partitioning divides a quantum computation into classical postprocessing steps and a set of smaller scale quantum computations that individually require fewer qubits, lower qubit connectivity, and typically incur less error. However, as partitioning generally increases the duration of a quantum computation exponentially in the required partitioning effort, it is crucial to select optimal partitioning points, so-called cuts, and to use optimal cut realizations. In this work, we develop the first optimal partitioning method relying on quantum circuit knitting for optimal cut realizations and an optimal selection of wire cuts and gate cuts that trades off ancilla qubit insertions for a decrease in quantum computing time. Using this combination, the developed method demonstrates a reduction in quantum computing runtime by 41% on average compared to previous quantum circuit partitioning methods. Furthermore, the qubit requirement of the evaluated quantum circuits was reduced by 40% on average for a runtime budget of one hour and a sampling frequency of 1 kHz. These results highlight the optimality gap of previous quantum circuit partitioning methods and the possible extension in the computational reach of near-term quantum computers.","PeriodicalId":100644,"journal":{"name":"IEEE Transactions on Quantum Engineering","volume":"5 ","pages":"1-10"},"PeriodicalIF":0.0,"publicationDate":"2023-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10374226","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139504439","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Relation Between Quantum Advantage in Supervised Learning and Quantum Computational Advantage 监督学习中的量子优势与量子计算优势之间的关系
IEEE Transactions on Quantum Engineering Pub Date : 2023-12-26 DOI: 10.1109/TQE.2023.3347476
Jordi Pérez-Guijarro;Alba Pagés-Zamora;Javier R. Fonollosa
{"title":"Relation Between Quantum Advantage in Supervised Learning and Quantum Computational Advantage","authors":"Jordi Pérez-Guijarro;Alba Pagés-Zamora;Javier R. Fonollosa","doi":"10.1109/TQE.2023.3347476","DOIUrl":"https://doi.org/10.1109/TQE.2023.3347476","url":null,"abstract":"The widespread use of machine learning has raised the question of quantum supremacy for supervised learning as compared to quantum computational advantage. In fact, a recent work shows that computational and learning advantages are, in general, not equivalent, i.e., the additional information provided by a training set can reduce the hardness of some problems. This article investigates under which conditions they are found to be equivalent or, at least, highly related. This relation is analyzed by considering two definitions of learning speed-up: one tied to the distribution and another that is distribution-independent. In both cases, the existence of efficient algorithms to generate training sets emerges as the cornerstone of such conditions, although, for the distribution-independent definition, additional mild conditions must also be met. Finally, these results are applied to prove that there is a quantum speed-up for some learning tasks based on the prime factorization problem, assuming the classical intractability of this problem.","PeriodicalId":100644,"journal":{"name":"IEEE Transactions on Quantum Engineering","volume":"5 ","pages":"1-17"},"PeriodicalIF":0.0,"publicationDate":"2023-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10374234","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139694994","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信