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Flexible Fault Tolerant Gate Gadgets 灵活的容错门小工具
arXiv - PHYS - Quantum Physics Pub Date : 2024-09-18 DOI: arxiv-2409.11616
Eric Kubischta, Ian Teixeira
{"title":"Flexible Fault Tolerant Gate Gadgets","authors":"Eric Kubischta, Ian Teixeira","doi":"arxiv-2409.11616","DOIUrl":"https://doi.org/arxiv-2409.11616","url":null,"abstract":"We design flexible fault tolerant gate gadgets that allow the data and the\u0000ancilla to be encoded using different codes. By picking a stabilizer code for\u0000the ancilla we are able to perform both Clifford and non-Clifford gates fault\u0000tolerantly on generic quantum codes, including both stabilizer and non-additive\u0000codes. This allows us to demonstrate the first universal fault tolerant gate\u0000set for non-additive codes. We consider fault tolerance both with respect to a\u0000dephasing channel and a depolarizing channel.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248107","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Spin amplification in realistic systems 现实系统中的自旋放大
arXiv - PHYS - Quantum Physics Pub Date : 2024-09-18 DOI: arxiv-2409.11956
Ivan Iakoupov, Victor M. Bastidas, Yuichiro Matsuzaki, Shiro Saito, William J. Munro
{"title":"Spin amplification in realistic systems","authors":"Ivan Iakoupov, Victor M. Bastidas, Yuichiro Matsuzaki, Shiro Saito, William J. Munro","doi":"arxiv-2409.11956","DOIUrl":"https://doi.org/arxiv-2409.11956","url":null,"abstract":"Spin amplification is the process that ideally increases the number of\u0000excited spins if there was one excited spin to begin with. Using optimal\u0000control techniques to find classical drive pulse shapes, we show that spin\u0000amplification can be done in the previously unexplored regime with\u0000amplification times comparable to the timescale set by the interaction terms in\u0000the Hamiltonian. This is an order of magnitude faster than the previous\u0000protocols and makes spin amplification possible even with significant\u0000decoherence and inhomogeneity in the spin system. The initial spin excitation\u0000can be delocalized over the entire ensemble, which is a more typical situation\u0000when a photon is collectively absorbed by the spins. We focus on the\u0000superconducting persistent-current artificial atoms as spins, but this approach\u0000can be applied to other kinds of strongly-interacting spins, including the\u0000Rydberg atoms.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142268300","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Operator-Projected Variational Quantum Imaginary Time Evolution 算子投影变分量子虚时间演化
arXiv - PHYS - Quantum Physics Pub Date : 2024-09-18 DOI: arxiv-2409.12018
Aeishah Ameera Anuar, Francois Jamet, Fabio Gironella, Fedor Simkovic IV, Riccardo Rossi
{"title":"Operator-Projected Variational Quantum Imaginary Time Evolution","authors":"Aeishah Ameera Anuar, Francois Jamet, Fabio Gironella, Fedor Simkovic IV, Riccardo Rossi","doi":"arxiv-2409.12018","DOIUrl":"https://doi.org/arxiv-2409.12018","url":null,"abstract":"Variational Quantum Imaginary Time Evolution (VQITE) is a leading technique\u0000for ground state preparation on quantum computers. A significant computational\u0000challenge of VQITE is the determination of the quantum geometric tensor. We\u0000show that requiring the imaginary-time evolution to be correct only when\u0000projected onto a chosen set of operators allows to achieve a twofold reduction\u0000in circuit depth by bypassing fidelity estimations, and reduces measurement\u0000complexity from quadratic to linear in the number of parameters. We demonstrate\u0000by a simulation of the transverse-field Ising model that our algorithm achieves\u0000a several orders of magnitude improvement in the number of measurements\u0000required for the same accuracy.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142268299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A no-go theorem for sequential and retro-causal hidden-variable theories based on computational complexity 基于计算复杂性的顺序和逆因果隐变量理论的禁区定理
arXiv - PHYS - Quantum Physics Pub Date : 2024-09-18 DOI: arxiv-2409.11792
Doriano Brogioli
{"title":"A no-go theorem for sequential and retro-causal hidden-variable theories based on computational complexity","authors":"Doriano Brogioli","doi":"arxiv-2409.11792","DOIUrl":"https://doi.org/arxiv-2409.11792","url":null,"abstract":"The celebrated Bell's no-go theorem rules out the hidden-variable theories\u0000falling in the hypothesis of locality and causality, by requiring the theory to\u0000model the quantum correlation-at-a-distance phenomena. Here I develop an\u0000independent no-go theorem, by inspecting the ability of a theory to model\u0000quantum emph{circuits}. If a theory is compatible with quantum mechanics, then\u0000the problems of solving its mathematical models must be as hard as calculating\u0000the output of quantum circuits, i.e., as hard as quantum computing. Rigorously,\u0000I provide complexity classes capturing the idea of sampling from sequential\u0000(causal) theories and from post-selection-based (retro-causal) theories; I show\u0000that these classes fail to cover the computational complexity of sampling from\u0000quantum circuits. The result is based on widely accepted conjectures on the\u0000superiority of quantum computers over classical ones. The result represents a\u0000no-go theorem that rules out a large family of sequential and\u0000post-selection-based theories. I discuss the hypothesis of the no-go theorem\u0000and the possible ways to circumvent them. In particular, I discuss the Schulman\u0000model and its extensions, which is retro-causal and is able to model quantum\u0000correlation-at-a-distance phenomena: I provides clues suggesting that it\u0000escapes the hypothesis of the no-go theorem.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248077","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multifold Majorana corner modes arising from multiple pairs of helical edge states 多对螺旋边缘态产生的多折叠马约拉纳角模式
arXiv - PHYS - Quantum Physics Pub Date : 2024-09-18 DOI: arxiv-2409.11791
Zhiwei Yin, Haoshu Li, Zhongbo Yan, Shaolong Wan
{"title":"Multifold Majorana corner modes arising from multiple pairs of helical edge states","authors":"Zhiwei Yin, Haoshu Li, Zhongbo Yan, Shaolong Wan","doi":"arxiv-2409.11791","DOIUrl":"https://doi.org/arxiv-2409.11791","url":null,"abstract":"Quantum spin Hall insulators with a pair of helical edge states and\u0000proximity-induced superconductivity have been shown to support second-order\u0000topological superconductors with Majorana corner modes. As the Majorana corner\u0000modes are originated from the helical edge states of the quantum spin Hall\u0000insulators, whether quantum spin Hall insulators with multiple pairs of helical\u0000edge states and proximity-induced superconductivity can give rise to\u0000second-order topological superconductors with multifold Majorana corner modes\u0000is an interesting question to address. In this work, we consider a quantum spin\u0000Hall insulator with two pairs of helical edge states. We find robust twofold\u0000Majorana corner modes can be achieved when the helical edge states are gapped\u0000by a combined action of a magnetic exchange field and an $s$-wave pairing, or\u0000an $s+p$ mixed-parity pairing. The stability of two Majorana zero modes per\u0000corner under the action of magnetic exchange fields is attributed to the\u0000protection from the chiral symmetry. Our study reveals that heterostructures\u0000composed of superconductors and quantum spin Hall insulators with multiple\u0000pairs of helical edge states could serve as a platform to pursue multifold\u0000Majorana corner modes.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248115","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Performance advantage of protective quantum measurements 保护性量子测量的性能优势
arXiv - PHYS - Quantum Physics Pub Date : 2024-09-18 DOI: arxiv-2409.12174
Maximilian Schlosshauer
{"title":"Performance advantage of protective quantum measurements","authors":"Maximilian Schlosshauer","doi":"arxiv-2409.12174","DOIUrl":"https://doi.org/arxiv-2409.12174","url":null,"abstract":"We compare the performance of protective quantum measurements to that of\u0000standard projective measurements. Performance is quantified in terms of the\u0000uncertainty in the measured expectation value. We derive an expression for the\u0000relative performance of these two types of quantum measurements and show\u0000explicitly that protective measurements can provide a significant performance\u0000advantage over standard projective measurements.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248072","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mechanical Wannier-Stark Ladder of Diamond Spin-Mechanical Lamb Wave Resonators 金刚石自旋机械兰姆波谐振器的机械万尼尔-斯塔克梯形图
arXiv - PHYS - Quantum Physics Pub Date : 2024-09-18 DOI: arxiv-2409.12149
Philip Andrango, Hailin Wang
{"title":"Mechanical Wannier-Stark Ladder of Diamond Spin-Mechanical Lamb Wave Resonators","authors":"Philip Andrango, Hailin Wang","doi":"arxiv-2409.12149","DOIUrl":"https://doi.org/arxiv-2409.12149","url":null,"abstract":"We report the design and theoretical analysis of Wannier-Stark ladders of\u0000diamond Lamb wave resonators (LWRs) that can feature compression modes with\u0000ultralow damping rates and host spin qubits with excellent optical and spin\u0000properties. Three nearest-neighbor coupling schemes with distinct geometric\u0000configurations and a large range of coupling rates have been explored for the\u0000realization of Wannier-Stark ladders of LWRs, potentially enabling long-range\u0000connectivity between spin qubits through their interactions with mechanical\u0000vibrations. Additional analysis on the effects of disorder indicates that the\u0000proposed Wannier-Stark ladder can be robust against realistic experimental\u0000imperfections. The development of mechanical quantum networks of spin qubits\u0000with long-range connectivity can open the door to the implementation of newly\u0000developed quantum low-density parity-check codes in solid-state systems.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Cramér-Rao approach and global quantum estimation of bosonic states 克拉梅尔-拉奥方法和玻色态的全局量子估计
arXiv - PHYS - Quantum Physics Pub Date : 2024-09-18 DOI: arxiv-2409.11842
Masahito Hayashi, Yingkai Ouyang
{"title":"The Cramér-Rao approach and global quantum estimation of bosonic states","authors":"Masahito Hayashi, Yingkai Ouyang","doi":"arxiv-2409.11842","DOIUrl":"https://doi.org/arxiv-2409.11842","url":null,"abstract":"Quantum state estimation is a fundamental task in quantum information theory,\u0000where one estimates real parameters continuously embedded in a family of\u0000quantum states. In the theory of quantum state estimation, the widely used\u0000Cram'er Rao approach which considers local estimation gives the ultimate\u0000precision bound of quantum state estimation in terms of the quantum Fisher\u0000information. However practical scenarios need not offer much prior information\u0000about the parameters to be estimated, and the local estimation setting need not\u0000apply. In general, it is unclear whether the Cram'er-Rao approach is\u0000applicable for global estimation instead of local estimation. In this paper, we\u0000find situations where the Cram'er-Rao approach does and does not work for\u0000quantum state estimation problems involving a family of bosonic states in a\u0000non-IID setting, where we only use one copy of the bosonic quantum state in the\u0000large number of bosons setting. Our result highlights the importance of caution\u0000when using the results of the Cram'er-Rao approach to extrapolate to the\u0000global estimation setting.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248110","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
QUBO-based SVM for credit card fraud detection on a real QPU 基于 QUBO 的 SVM 在真实 QPU 上进行信用卡欺诈检测
arXiv - PHYS - Quantum Physics Pub Date : 2024-09-18 DOI: arxiv-2409.11876
Ettore Canonici, Filippo Caruso
{"title":"QUBO-based SVM for credit card fraud detection on a real QPU","authors":"Ettore Canonici, Filippo Caruso","doi":"arxiv-2409.11876","DOIUrl":"https://doi.org/arxiv-2409.11876","url":null,"abstract":"Among all the physical platforms for the realization of a Quantum Processing\u0000Unit (QPU), neutral atom devices are emerging as one of the main players. Their\u0000scalability, long coherence times, and the absence of manufacturing errors make\u0000them a viable candidate.. Here, we use a binary classifier model whose training\u0000is reformulated as a Quadratic Unconstrained Binary Optimization (QUBO) problem\u0000and implemented on a neutral atom QPU. In particular, we test it on a Credit\u0000Card Fraud (CCF) dataset. We propose several versions of the model, including\u0000exploiting the model in ensemble learning schemes. We show that one of our\u0000proposed versions seems to achieve higher performance and lower errors,\u0000validating our claims by comparing the most popular Machine Learning (ML)\u0000models with QUBO SVM models trained with ideal, noisy simulations and even via\u0000a real QPU. In addition, the data obtained via real QPU extend up to 24 atoms,\u0000confirming the model's noise robustness. We also show, by means of numerical\u0000simulations, how a certain amount of noise leads surprisingly to enhanced\u0000results. Our results represent a further step towards new quantum ML algorithms\u0000running on neutral atom QPUs for cybersecurity applications.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248076","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems 雷德贝格原子系统中的准周期弗洛克-吉布斯态
arXiv - PHYS - Quantum Physics Pub Date : 2024-09-18 DOI: arxiv-2409.12044
Wilson S. Martins, Federico Carollo, Kay Brandner, Igor Lesanovsky
{"title":"Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems","authors":"Wilson S. Martins, Federico Carollo, Kay Brandner, Igor Lesanovsky","doi":"arxiv-2409.12044","DOIUrl":"https://doi.org/arxiv-2409.12044","url":null,"abstract":"Open systems that are weakly coupled to a thermal environment and driven by\u0000fast, periodically oscillating fields are commonly assumed to approach an\u0000equilibrium-like steady state with respect to a truncated Floquet-Magnus\u0000Hamiltonian. Using a general argument based on Fermi's golden rule, we show\u0000that such Floquet-Gibbs states emerge naturally in periodically modulated\u0000Rydberg atomic systems, whose lab-frame Hamiltonian is a quasiperiodic function\u0000of time. Our approach applies as long as the inherent Bohr frequencies of the\u0000system, the modulation frequency and the frequency of the driving laser, which\u0000is necessary to uphold high-lying Rydberg excitations, are well separated. To\u0000corroborate our analytical results, we analyze a realistic model of up to five\u0000interacting Rydberg atoms with periodically changing detuning. We demonstrate\u0000numerically that the second-order Floquet-Gibbs state of this system is\u0000essentially indistinguishable from the steady state of the corresponding\u0000Redfield equation if the modulation and driving frequencies are sufficiently\u0000large.","PeriodicalId":501226,"journal":{"name":"arXiv - PHYS - Quantum Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248108","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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