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Cyclic measurements and simplified quantum state tomography 循环测量和简化量子态层析成像
IF 6.4 2区 物理与天体物理
Quantum Pub Date : 2025-06-04 DOI: 10.22331/q-2025-06-04-1763
Victor Gonzalez Avella, Jakub Czartowski, Dardo Goyeneche, Karol Życzkowski
{"title":"Cyclic measurements and simplified quantum state tomography","authors":"Victor Gonzalez Avella, Jakub Czartowski, Dardo Goyeneche, Karol Życzkowski","doi":"10.22331/q-2025-06-04-1763","DOIUrl":"https://doi.org/10.22331/q-2025-06-04-1763","url":null,"abstract":"Tomographic reconstruction of quantum states plays a fundamental role in benchmarking quantum systems and accessing information encoded in quantum-mechanical systems. Among the informationally complete sets of quantum measurements, the tight ones provide a linear reconstruction formula and minimize the propagation of statistical errors. However, implementing tight measurements in the lab is challenging due to the high number of required measurement projections, involving a series of experimental setup preparations. In this work, we introduce the notion of cyclic tight measurements, which allow us to perform full quantum state tomography while considering only repeated application of a single unitary-based quantum device during the measurement stage. This type of measurement significantly simplifies the complexity of the experimental setup required to retrieve the quantum state of a physical system. Additionally, we design a feasible setup preparation procedure that produces well-approximated cyclic tight measurements in every finite dimension.","PeriodicalId":20807,"journal":{"name":"Quantum","volume":"13 1","pages":""},"PeriodicalIF":6.4,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144211353","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Full Characterization of the Depth Overhead for Quantum Circuit Compilation with Arbitrary Qubit Connectivity Constraint 任意量子比特连通性约束下量子电路编译深度开销的全面表征
IF 6.4 2区 物理与天体物理
Quantum Pub Date : 2025-05-28 DOI: 10.22331/q-2025-05-28-1757
Pei Yuan, Shengyu Zhang
{"title":"Full Characterization of the Depth Overhead for Quantum Circuit Compilation with Arbitrary Qubit Connectivity Constraint","authors":"Pei Yuan, Shengyu Zhang","doi":"10.22331/q-2025-05-28-1757","DOIUrl":"https://doi.org/10.22331/q-2025-05-28-1757","url":null,"abstract":"In some physical implementations of quantum computers, 2-qubit operations can be applied only on certain pairs of qubits. Compilation of a quantum circuit into one compliant to such qubit connectivity constraint results in an increase of circuit depth. Various compilation algorithms were studied, yet what this depth overhead is remains elusive. In this paper, we fully characterize the depth overhead by the routing number of the underlying constraint graph, a graph-theoretic measure which has been studied for 3 decades. We also give reduction algorithms between different graphs, which allow compilation for one graph to be transferred to one for another. These results, when combined with existing routing algorithms, give asymptotically optimal compilation for all commonly seen connectivity graphs in quantum computing.","PeriodicalId":20807,"journal":{"name":"Quantum","volume":"58 1","pages":""},"PeriodicalIF":6.4,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144165058","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Reinforcement Learning Based Quantum Circuit Optimization via ZX-Calculus 基于zx -微积分的强化学习量子电路优化
IF 6.4 2区 物理与天体物理
Quantum Pub Date : 2025-05-28 DOI: 10.22331/q-2025-05-28-1758
Jordi Riu, Jan Nogué, Gerard Vilaplana, Artur Garcia-Saez, Marta P. Estarellas
{"title":"Reinforcement Learning Based Quantum Circuit Optimization via ZX-Calculus","authors":"Jordi Riu, Jan Nogué, Gerard Vilaplana, Artur Garcia-Saez, Marta P. Estarellas","doi":"10.22331/q-2025-05-28-1758","DOIUrl":"https://doi.org/10.22331/q-2025-05-28-1758","url":null,"abstract":"We propose a novel Reinforcement Learning (RL) method for optimizing quantum circuits using graph-theoretic simplification rules of ZX-diagrams. The agent, trained using the Proximal Policy Optimization (PPO) algorithm, employs Graph Neural Networks to approximate the policy and value functions. We demonstrate the capacity of our approach by comparing it against the best performing ZX-Calculus-based algorithm for the problem in hand. After training on small Clifford+T circuits of 5-qubits and few tenths of gates, the agent consistently improves the state-of-the-art for this type of circuits, for at least up to 80-qubit and 2100 gates, whilst remaining competitive in terms of computational performance. Additionally, we illustrate the versatility of the agent by incorporating additional optimization routines on the workflow during training, improving the two-qubit gate count state-of-the-art on multiple structured quantum circuits for relevant applications of much larger dimension and different gate distributions than the circuits the agent trains on. This conveys the potential of tailoring the reward function to the specific characteristics of each application and hardware backend. Our approach is a valuable tool for the implementation of quantum algorithms in the near-term intermediate-scale range (NISQ).","PeriodicalId":20807,"journal":{"name":"Quantum","volume":"11 1","pages":""},"PeriodicalIF":6.4,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144165063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The State Preparation of Multivariate Normal Distributions using Tree Tensor Network 基于树张量网络的多元正态分布状态准备
IF 6.4 2区 物理与天体物理
Quantum Pub Date : 2025-05-28 DOI: 10.22331/q-2025-05-28-1755
Hidetaka Manabe, Yuichi Sano
{"title":"The State Preparation of Multivariate Normal Distributions using Tree Tensor Network","authors":"Hidetaka Manabe, Yuichi Sano","doi":"10.22331/q-2025-05-28-1755","DOIUrl":"https://doi.org/10.22331/q-2025-05-28-1755","url":null,"abstract":"The quantum state preparation of probability distributions is an important subroutine for many quantum algorithms. When embedding $D$-dimensional multivariate probability distributions by discretizing each dimension into $2^n$ points, we need a state preparation circuit comprising a total of $nD$ qubits, which is often difficult to compile. In this study, we propose a scalable method to generate state preparation circuits for $D$-dimensional multivariate normal distributions, utilizing tree tensor networks (TTN). We establish theoretical guarantees that multivariate normal distributions with 1D correlation structures can be efficiently represented using TTN. Based on these analyses, we propose a compilation method that uses automatic structural optimization to find the most efficient network structure and compact circuit. We apply our method to state preparation circuits for various high-dimensional random multivariate normal distributions. The numerical results suggest that our method can dramatically reduce the circuit depth and CNOT count while maintaining fidelity compared to existing approaches.","PeriodicalId":20807,"journal":{"name":"Quantum","volume":"14 1","pages":""},"PeriodicalIF":6.4,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144165062","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Renormalisation of Quantum Cellular Automata 量子元胞自动机的重整化
IF 6.4 2区 物理与天体物理
Quantum Pub Date : 2025-05-28 DOI: 10.22331/q-2025-05-28-1756
Lorenzo Siro Trezzini, Alessandro Bisio, Paolo Perinotti
{"title":"Renormalisation of Quantum Cellular Automata","authors":"Lorenzo Siro Trezzini, Alessandro Bisio, Paolo Perinotti","doi":"10.22331/q-2025-05-28-1756","DOIUrl":"https://doi.org/10.22331/q-2025-05-28-1756","url":null,"abstract":"We study a coarse-graining procedure for quantum cellular automata on hypercubic lattices that consists in grouping neighboring cells into tiles and selecting a subspace within each tile. This is done in such a way that multiple evolution steps applied to this subspace can be viewed as a single evolution step of a new quantum cellular automaton, whose cells are the subspaces themselves. We derive a necessary and sufficient condition for renormalizability and use it to investigate the renormalization flow of cellular automata on a line, where the cells are qubits and the tiles are composed of two neighboring cells. The problem is exhaustively solved, and the fixed points of the renormalization flow are highlighted.","PeriodicalId":20807,"journal":{"name":"Quantum","volume":"16 1","pages":""},"PeriodicalIF":6.4,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144165056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Operational verification of the existence of a spacetime manifold 时空流形存在的操作验证
IF 6.4 2区 物理与天体物理
Quantum Pub Date : 2025-05-22 DOI: 10.22331/q-2025-05-22-1753
Nikola Paunkovic, Marko Vojinovic
{"title":"Operational verification of the existence of a spacetime manifold","authors":"Nikola Paunkovic, Marko Vojinovic","doi":"10.22331/q-2025-05-22-1753","DOIUrl":"https://doi.org/10.22331/q-2025-05-22-1753","url":null,"abstract":"We argue that there exists an operational way to establish the observability of the notions of space and time. Specifically, we propose a theory-independent protocol for a gedanken-experiment, whose outcome is a signal establishing the observability of the spacetime manifold, without a priori assuming its existence. The experimental signal contains the information about the dimension and the topology of spacetime (with the currently achievable precision), and establishes its manifold structure, while respecting its underlying diffeomorphism symmetry. We also introduce and discuss appropriate criteria for the concept of emergence of spacetime, which any tentative theoretical model of physics must satisfy in order to claim that spacetime does emerge from some more fundamental concepts.","PeriodicalId":20807,"journal":{"name":"Quantum","volume":"136 1","pages":""},"PeriodicalIF":6.4,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144114009","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Protecting information in a parametrically driven hybrid quantum system 参数驱动混合量子系统中的信息保护
IF 6.4 2区 物理与天体物理
Quantum Pub Date : 2025-05-22 DOI: 10.22331/q-2025-05-22-1754
Siddharth Tiwary, Harsh Sharma, Himadri Shekhar Dhar
{"title":"Protecting information in a parametrically driven hybrid quantum system","authors":"Siddharth Tiwary, Harsh Sharma, Himadri Shekhar Dhar","doi":"10.22331/q-2025-05-22-1754","DOIUrl":"https://doi.org/10.22331/q-2025-05-22-1754","url":null,"abstract":"The transfer and storage of quantum information in a hybrid quantum system, consisting of an ensemble of atoms or spins interacting with a cavity, is adversely affected by the inhomogeneity of the spins, which negates the coherent exchange of excitations between the physical components. Using a full quantum treatment based on variational renormalization group, we show how quantum information encoded in the states of a parametrically driven hybrid system is strongly protected against any decoherence that may arise due to the inhomogeneity in the spin-ensemble.","PeriodicalId":20807,"journal":{"name":"Quantum","volume":"31 1","pages":""},"PeriodicalIF":6.4,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144114008","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Rise of conditionally clean ancillae for efficient quantum circuit constructions 高效量子电路结构的条件清洁辅助装置的兴起
IF 6.4 2区 物理与天体物理
Quantum Pub Date : 2025-05-21 DOI: 10.22331/q-2025-05-21-1752
Tanuj Khattar, Craig Gidney
{"title":"Rise of conditionally clean ancillae for efficient quantum circuit constructions","authors":"Tanuj Khattar, Craig Gidney","doi":"10.22331/q-2025-05-21-1752","DOIUrl":"https://doi.org/10.22331/q-2025-05-21-1752","url":null,"abstract":"We introduce conditionally clean ancilla qubits, a new quantum resource, recently explored by [17], that bridges the gap between traditional clean and dirty ancillae. Like dirty ancillae, they begin and end in an unknown state and can be borrowed from existing system qubits, avoiding the space overhead of explicit qubit allocation. Like clean ancillae, they can be treated as initialized in a known state within specific computations, thus avoiding the overhead of toggle detection required for dirty ancillae. We present new circuit constructions leveraging conditionally clean ancillae to achieve lower gate counts and depths, particularly with limited ancilla availability. Specifically, we provide constructions for:<br/>\u0000<br/> (a) $n$-controlled NOT using $2n$ Toffolis and $O(log{n})$ depth given 2 clean ancillae.<br/> (b) $n$-qubit incrementer using $3n$ Toffolis given $log_2^*{n}$ clean ancillae.<br/> (c) $n$-qubit quantum-classical comparator using $3n$ Toffolis given $log_2^*{n}$ clean ancillae.<br/> (d) unary iteration over $[0,N)$ using $2.5N$ Toffolis given $log_2^*{n}$ clean ancillae.<br/> (e) unary iteration via skew tree over $[0, N)$ using $1.25N$ Toffolis given $n$ dirty ancillae.<br/>\u0000<br/> We also introduce $textit{laddered toggle detection}$, a technique to replace clean ancillae with dirty ancillae in all our constructions, incurring a 2x Toffoli gate overhead. Our results demonstrate that conditionally clean ancillae are a valuable tool for quantum circuit design, especially in the resource-constrained early fault-tolerant era.","PeriodicalId":20807,"journal":{"name":"Quantum","volume":"19 1","pages":""},"PeriodicalIF":6.4,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144104723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Classical Benchmarks for Variational Quantum Eigensolver Simulations of the Hubbard Model 哈伯德模型变分量子特征解算器模拟的经典基准
IF 6.4 2区 物理与天体物理
Quantum Pub Date : 2025-05-20 DOI: 10.22331/q-2025-05-20-1748
Antonios M. Alvertis, Abid Khan, Thomas Iadecola, Peter P. Orth, Norm Tubman
{"title":"Classical Benchmarks for Variational Quantum Eigensolver Simulations of the Hubbard Model","authors":"Antonios M. Alvertis, Abid Khan, Thomas Iadecola, Peter P. Orth, Norm Tubman","doi":"10.22331/q-2025-05-20-1748","DOIUrl":"https://doi.org/10.22331/q-2025-05-20-1748","url":null,"abstract":"Simulating the Hubbard model is of great interest to a wide range of applications within condensed matter physics, however its solution on classical computers remains challenging in dimensions larger than one. The relative simplicity of this model, embodied by the sparseness of the Hamiltonian matrix, allows for its efficient implementation on quantum computers, and for its approximate solution using variational algorithms such as the variational quantum eigensolver. While these algorithms have been shown to reproduce the qualitative features of the Hubbard model, their quantitative accuracy in terms of producing true ground state energies and other properties, and the dependence of this accuracy on the system size and interaction strength, the choice of variational ansatz, and the degree of spatial inhomogeneity in the model, remains unknown. Here we present a rigorous classical benchmarking study, demonstrating the potential impact of these factors on the accuracy of the variational solution of the Hubbard model on quantum hardware, for systems with up to $32$ qubits. We find that even when using the most accurate wavefunction ansätze for the Hubbard model, the error in its ground state energy and wavefunction plateaus for larger lattices, while stronger electronic correlations magnify this issue. Concurrently, spatially inhomogeneous parameters and the presence of off-site Coulomb interactions only have a small effect on the accuracy of the computed ground state energies. Our study highlights the capabilities and limitations of current approaches for solving the Hubbard model on quantum hardware, and we discuss potential future avenues of research.","PeriodicalId":20807,"journal":{"name":"Quantum","volume":"73 1","pages":""},"PeriodicalIF":6.4,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144097665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Transfer and routing of Gaussian states through quantum complex networks with and without community structure 具有和不具有社团结构的量子复杂网络中高斯态的传输和路由
IF 6.4 2区 物理与天体物理
Quantum Pub Date : 2025-05-20 DOI: 10.22331/q-2025-05-20-1751
Markku Hahto, Johannes Nokkala, Guillermo García-Pérez, Sabrina Maniscalco, Jyrki Piilo
{"title":"Transfer and routing of Gaussian states through quantum complex networks with and without community structure","authors":"Markku Hahto, Johannes Nokkala, Guillermo García-Pérez, Sabrina Maniscalco, Jyrki Piilo","doi":"10.22331/q-2025-05-20-1751","DOIUrl":"https://doi.org/10.22331/q-2025-05-20-1751","url":null,"abstract":"The goal in quantum state transfer is to avoid the need to physically transport carriers of quantum information. This is achieved by using a suitably engineered Hamiltonian that induces the transfer of the state of one subsystem to another. A less known generalization of state transfer considers multiple systems such that any pair can exchange quantum information and transfers can take place at any time, starting and stopping independently. This is sometimes called routing of quantum states. State transfer in particular has received a great deal of attention, however the vast majority of results in both state transfer and routing concern qubits transferred in a network of restricted structure. Here we consider routing of single-mode Gaussian states and entanglement through complex networks of quantum harmonic oscillators. We compare a protocol where the transfer is completed in a single step but the effective Hamiltonian only approximately transfers the state with one where the transfer can in principle be perfect but the transfer is done in two steps, and also illustrate the state-dependency of the transfer fidelity. We find that even in a random and homogeneous network, the transfer fidelity still depends on the degree of the nodes for any link density, and that in both random and complex networks it is the community structure that controls the appearance of higher frequency normal modes useful for transfer. Finally, we find that networks of sufficient complexity may have superior routing performance over superficially similar random networks. Our results pave the way for further exploration of the role of community structure in state transfer and related tasks.","PeriodicalId":20807,"journal":{"name":"Quantum","volume":"35 1","pages":""},"PeriodicalIF":6.4,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144104722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","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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