PRX quantum : a Physical Review journal最新文献_第9页

Characterizing Entanglement Dimensionality from Randomized Measurements 从随机测量中表征纠缠维数

PRX quantum : a Physical Review journal Pub Date : 2022-11-17 DOI: 10.1103/PRXQuantum.4.020324

Shuheng Liu, Qiongyi He, M. Huber, O. Gühne, G. Vitagliano

{"title":"Characterizing Entanglement Dimensionality from Randomized Measurements","authors":"Shuheng Liu, Qiongyi He, M. Huber, O. Gühne, G. Vitagliano","doi":"10.1103/PRXQuantum.4.020324","DOIUrl":"https://doi.org/10.1103/PRXQuantum.4.020324","url":null,"abstract":"We consider the problem of detecting the dimensionality of entanglement with the use of correlations between measurements in randomized directions. First, exploiting the recently derived covariance matrix criterion for the entanglement dimensionality [S. Liu et al., arXiv:2208.04909], we derive an inequality that resembles well-known entanglement criteria, but contains different bounds for the different dimensionalities of entanglement. This criterion is invariant under local changes of $su(d)$ bases and can be used to find regions in the space of moments of randomized correlations, generalizing the results of [S. Imai et al., Phys. Rev. Lett. 126, 150501 (2021)] to the case of entanglement-dimensionality detection. In particular, we find analytical boundary curves for the different entanglement dimensionalities in the space of second- and fourth-order moments of randomized correlations for all dimensions $d_a = d_b = d$ of a bipartite system. We then show how our method works in practice, also considering a finite statistical sample of correlations, and we also show that it can detect more states than other entanglement-dimensionality criteria available in the literature, thus providing a method that is both very powerful and potentially simpler in practical scenarios. We conclude by discussing the partly open problem of the implementation of our method in the multipartite scenario.","PeriodicalId":74587,"journal":{"name":"PRX quantum : a Physical Review journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48489054","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: 5

Quantum Tomography of Rydberg Atom Graphs by Configurable Ancillas 基于可配置分支的Rydberg原子图的量子层析成像

PRX quantum : a Physical Review journal Pub Date : 2022-11-15 DOI: 10.1103/prxquantum.4.020316

Kangheun Kim, Jaewook Ahn

引用次数: 1

General Entropic Constraints on Calderbank-Shor-Steane Codes within Magic Distillation Protocols Magic蒸馏协议中Calderbank Shor-Steane码的一般熵约束

PRX quantum : a Physical Review journal Pub Date : 2022-11-14 DOI: 10.1103/PRXQuantum.4.020359

Rhea Alexander, Si Gvirtz-Chen, Nikolaos Koukoulekidis, D. Jennings

{"title":"General Entropic Constraints on Calderbank-Shor-Steane Codes within Magic Distillation Protocols","authors":"Rhea Alexander, Si Gvirtz-Chen, Nikolaos Koukoulekidis, D. Jennings","doi":"10.1103/PRXQuantum.4.020359","DOIUrl":"https://doi.org/10.1103/PRXQuantum.4.020359","url":null,"abstract":"Magic states are fundamental building blocks on the road to fault-tolerant quantum computing. CSS codes play a crucial role in the construction of magic distillation protocols. Previous work has cast quantum computing with magic states for odd dimension $d$ within a phase space setting in which universal quantum computing is described by the statistical mechanics of quasiprobability distributions. Here we extend this framework to the important $d=2$ qubit case and show that we can exploit common structures in CSS circuits to obtain distillation bounds capable of out-performing previous monotone bounds in regimes of practical interest. Moreover, in the case of CSS code projections, we arrive at a novel cut-off result on the code length $n$ of the CSS code in terms of parameters characterising a desired distillation, which implies that for fixed target error rate and acceptance probability, one needs only consider CSS codes below a threshold number of qubits. These entropic constraints are not due simply to the data-processing inequality but rely explicitly on the stochastic representation of such protocols.","PeriodicalId":74587,"journal":{"name":"PRX quantum : a Physical Review journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41531982","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

Simulating Models of Challenging Correlated Molecules and Materials on the Sycamore Quantum Processor Sycamore量子处理器上挑战相关分子和材料的模拟模型

PRX quantum : a Physical Review journal Pub Date : 2022-11-14 DOI: 10.1103/prxquantum.3.040318

Ruslan N. Tazhigulov, Shi-Ning Sun, R. Haghshenas, Huanchen Zhai, A. T. Tan, N. Rubin, R. Babbush, A. Minnich, G. Chan

引用次数: 13

Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States 用于解码单光子态高维时间模的多输出量子脉冲门的实现

PRX quantum : a Physical Review journal Pub Date : 2022-11-10 DOI: 10.1103/prxquantum.4.020306

L. Serino, J. Gil-Lopez, M. Stefszky, R. Ricken, C. Eigner, B. Brecht, C. Silberhorn

引用次数: 10

Effective-Hamiltonian Theory of Open Quantum Systems at Strong Coupling 强耦合下开放量子系统的有效哈密顿理论

PRX quantum : a Physical Review journal Pub Date : 2022-11-10 DOI: 10.1103/prxquantum.4.020307

Nicholas Anto-Sztrikacs, A. Nazir, D. Segal

引用次数: 8

Homomorphic Logical Measurements 同态逻辑度量

PRX quantum : a Physical Review journal Pub Date : 2022-11-07 DOI: 10.1103/prxquantum.4.030301

Shilin Huang, Tomas Jochym-O'Connor, Theodore J. Yoder

引用次数: 1

Phase-Space Geometry and Optimal State Preparation in Quantum Metrology with Collective Spins 集体自旋量子计量中的相空间几何和最优态制备

PRX quantum : a Physical Review journal Pub Date : 2022-11-02 DOI: 10.1103/PRXQuantum.4.020314

M. Muñoz-Arias, I. Deutsch, P. Poggi

引用次数: 9

Deterministic Constant-Depth Preparation of the AKLT State on a Quantum Processor Using Fusion Measurements 利用融合测量在量子处理器上确定定深制备AKLT态

PRX quantum : a Physical Review journal Pub Date : 2022-10-31 DOI: 10.1103/prxquantum.4.020315

Kevin C. Smith, E. Crane, N. Wiebe, S. Girvin

{"title":"Deterministic Constant-Depth Preparation of the AKLT State on a Quantum Processor Using Fusion Measurements","authors":"Kevin C. Smith, E. Crane, N. Wiebe, S. Girvin","doi":"10.1103/prxquantum.4.020315","DOIUrl":"https://doi.org/10.1103/prxquantum.4.020315","url":null,"abstract":"The ground state of the spin-1 Affleck, Kennedy, Lieb and Tasaki (AKLT) model is a paradigmatic example of both a matrix product state and a symmetry-protected topological phase, and additionally holds promise as a resource state for measurement-based quantum computation. Having a nonzero correlation length, the AKLT state cannot be exactly prepared by a constant-depth unitary circuit composed of local gates. In this work, we demonstrate that this no-go limit can be evaded by augmenting a constant-depth circuit with fusion measurements, such that the total preparation time is independent of system size and entirely deterministic. We elucidate our preparation scheme using the language of tensor networks, and furthermore show that the $mathbb{Z}_2timesmathbb{Z}_2$ symmetry of the AKLT state directly affords this speed-up over previously known preparation methods. To demonstrate the practical advantage of measurement-assisted preparation on noisy intermediate-scale quantum (NISQ) devices, we carry out our protocol on an IBM Quantum processor. We measure both the string order and entanglement spectrum of prepared AKLT chains and, employing these as metrics, find improved results over the known (purely unitary) sequential preparation approach. We conclude with a demonstration of quantum teleportation using the AKLT state prepared by our measurement-assisted scheme. This work thus serves to provide an efficient strategy to prepare a specific resource in the form of the AKLT state and, more broadly, experimentally demonstrates the possibility for realizable improvement in state preparation afforded by measurement-based circuit depth reduction strategies on NISQ-era devices.","PeriodicalId":74587,"journal":{"name":"PRX quantum : a Physical Review journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48447208","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: 11

Entanglement Distribution with Minimal Memory Requirements Using Time-Bin Photonic Qudits 利用时间仓光子量子阱实现最小内存需求的纠缠分布

PRX quantum : a Physical Review journal Pub Date : 2022-10-29 DOI: 10.1103/PRXQuantum.3.040319

Yunzhe Zheng, H. Sharma, J. Borregaard

引用次数: 6