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We study random constant-depth quantum circuits in a two-dimensional architecture. While these circuits only produce entanglement between nearby qubits on the lattice, long-range entanglement can be generated by measuring a subset of the…

Quantum Physics · Physics 2024-08-01 Adam Bene Watts , David Gosset , Yinchen Liu , Mehdi Soleimanifar

Studies of entanglement dynamics in quantum many-body systems have focused largely on initial product states. Here, we investigate the far richer dynamics from initial entangled states, uncovering universal patterns across diverse systems…

Quantum Physics · Physics 2025-10-10 Chun-Yue Zhang , Zi-Xiang Li , Shi-Xin Zhang

Complex networks structures have been extensively used for describing complex natural and technological systems, like the Internet or social networks. More recently complex network theory has been applied to quantum systems, where complex…

Quantum Physics · Physics 2020-01-22 Francesca Sansavini , Valentina Parigi

Graph states are computationally powerful quantum states with many applications including use as resource states for measurement-based quantum computing (MBQC). We demonstrate construction of graph states on a Rydberg atom quantum analogue…

Quantum Physics · Physics 2025-04-22 Zhangjie Qin , V. W. Scarola

Graph states are a key resource for measurement-based quantum computation and quantum networking, but state-preparation costs limit their practical use. Graph states related by local complement (LC) operations are equivalent up to…

Quantum Physics · Physics 2026-04-01 Nicholas Connolly , Shin Nishio , Dan E. Browne , William John Munro , Kae Nemoto

Graph states represent a significant class of multi-partite entangled quantum states with applications in quantum error correction, quantum communication, and quantum computation. In this work, we introduce a novel formalism called the…

Quantum Physics · Physics 2025-07-16 Sameer Sharma

We investigate the emergence of different effective geometries in stochastic Clifford circuits with sparse coupling. By changing the probability distribution for choosing two-site gates as a function of distance, we generate sparse…

Quantum Physics · Physics 2022-06-13 Tomohiro Hashizume , Sridevi Kuriyattil , Andrew J. Daley , Gregory Bentsen

Random permutation circuits were recently introduced as minimal models for local many-body dynamics that can be interpreted both as classical and quantum. Standard dynamical complexity indicators such as damage spreading and…

Statistical Mechanics · Physics 2026-03-17 Bruno Bertini , Katja Klobas , Pavel Kos , Daniel Malz

The fine grained energy spectrum of quantum chaotic systems is widely believed to be described by random matrix statistics. A basic scale in such a system is the energy range over which this behavior persists. We define the corresponding…

High Energy Physics - Theory · Physics 2019-02-11 Hrant Gharibyan , Masanori Hanada , Stephen H. Shenker , Masaki Tezuka

In superconducting architectures, limited connectivity remains a significant challenge for the synthesis and compilation of quantum circuits. We consider models of entanglement-assisted computation where long-range operations are achieved…

Quantum Physics · Physics 2023-07-03 Willers Yang , Patrick Rall

The geometric measure of entanglement of variational quantum states is studied on the basis of its relation with the mean value of spin. We examine n-qubit quantum states prepared by a variational circuit with a layer formed by the…

Quantum Physics · Physics 2023-01-11 Kh. P. Gnatenko

We translate the action of local Clifford operations on graph states into transformations on their associated graphs - i.e. we provide transformation rules, stated in purely graph theoretical terms, which completely characterize the…

Quantum Physics · Physics 2009-11-10 Maarten Van den Nest , Jeroen Dehaene , Bart De Moor

We present an algorithm for efficiently simulating a quantum circuit in the graph formalism. In the graph formalism, we represent states as a linear combination of graphs with Clifford operations on their vertices. We show how a…

Quantum Physics · Physics 2021-08-09 Andrey Boris Khesin , Kevin Ren

Graph states form a large family of quantum states that are in one-to-one correspondence with mathematical graphs. Graph states are used in many applications, such as measurement-based quantum computation, as multipartite entangled…

Quantum Physics · Physics 2025-12-01 Nathan Claudet

We introduce a new family of quantum circuits for which the scrambling of a subspace of non-local operators is classically simulable. We call these circuits `super-Clifford circuits', since the Heisenberg time evolution of these operators…

Quantum Physics · Physics 2020-07-22 Mike Blake , Noah Linden

We study the time evolution of quantum entanglement for a specific class of quantum dynamics, namely the locally scrambled quantum dynamics, where each step of the unitary evolution is drawn from a random ensemble that is invariant under…

Disordered Systems and Neural Networks · Physics 2020-07-01 Wei-Ting Kuo , A. A. Akhtar , Daniel P. Arovas , Yi-Zhuang You

Quantum random access memories (QRAMs) are pivotal for data-intensive quantum algorithms, but existing general-purpose and domain-specific architectures are hampered by a critical bottleneck: a heavy reliance on non-Clifford gates (e.g.,…

Quantum Physics · Physics 2025-10-07 Guangyi Li , Yu Gan , Zeguan Wu , Xueyue Zhang , Zheshen Zhang , Junyu Liu

We propose and analyze a versatile and efficient multiparameter quantum sensing protocol, which simultaneously estimates many non-commuting and time-dependent signals that are coherently or incoherently coupled to sensing particles. Even in…

Quantum Physics · Physics 2026-02-02 Wenjie Gong , Bingtian Ye , Daniel Mark , Soonwon Choi

We propose a deterministic scheme of generating genuine multiparty entangled states in quantum networks of arbitrary size having various geometric structures -- we refer to it as entanglement circulation. The procedure involves optimization…

Quantum Physics · Physics 2022-09-16 Pritam Halder , Ratul Banerjee , Srijon Ghosh , Amit Kumar Pal , Aditi Sen De

We investigate the influence of noise on a graph state generation scheme which exploits a mirror inverting spin chain. Within this scheme the spin chain is used repeatedly as an entanglement bus (EB) to create multi-partite entanglement.…

Quantum Physics · Physics 2009-11-13 S. R. Clark , A. Klein , M. Bruderer , D. Jaksch