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Mutual Coupling (MC) is an unavoidable feature in Reconfigurable Intelligent Surfaces (RISs) with sub-wavelength inter-element spacing. Its inherent presence naturally leads to non-local RIS structures, which can be efficiently described…

Information Theory · Computer Science 2024-04-09 Dilki Wijekoon , Amine Mezghani , George C. Alexandropoulos , Ekram Hossain

It remains an open question whether every pure multipartite state that is genuinely entangled is also genuinely nonlocal. Recently, a new general construction of Bell inequalities allowing the detection of genuine multipartite nonlocality…

Quantum Physics · Physics 2024-09-23 Ignacy Stachura , Owidiusz Makuta , Remigiusz Augusiak

I consider deterministic distinguishability of a set of orthogonal, bipartite states when only a single copy is available and the parties are restricted to local operations and classical communication, but with the additional requirement…

Quantum Physics · Physics 2009-11-13 Scott M. Cohen

Understanding and developing a correlation measure that can detect general dependencies is not only imperative to statistics and machine learning, but also crucial to general scientific discovery in the big data age. In this paper, we…

Machine Learning · Statistics 2024-06-27 Cencheng Shen , Carey E. Priebe , Joshua T. Vogelstein

In quantum theory, a quantum state on a composite system of two parties realizes a non-negative probability with any measurement element with a tensor product form. However, there also exist non-quantum states which satisfy the above…

Quantum Physics · Physics 2024-01-02 Baichu Yu , Masahito Hayashi

We propose the task of local state marking (LSM), where some multipartite quantum states chosen randomly from a known set of states are distributed among spatially separated parties without revealing the identities of the individual states.…

We can only perform a finite rounds of measurements in protocols with local operations and classical communication (LOCC). In this paper, we propose a set of product states, which require infinite rounds of measurements in order to…

Quantum Physics · Physics 2019-02-27 Mao-Sheng Li , Yan-Ling Wang

Entanglement is a resource to overcome the natural restriction of operations used for state manipulation to Local Operations assisted by Classical Communication (LOCC). Hence, a bipartite maximally entangled state is a state which can be…

Quantum Physics · Physics 2016-05-20 C. Spee , J. I. de Vicente , B. Kraus

We present a scalable machine learning (ML) model to predict local electronic properties such as on-site electron number and double occupation for disordered correlated electron systems. Our approach is based on the locality principle, or…

Strongly Correlated Electrons · Physics 2022-08-31 Yi-Hsuan Liu , Sheng Zhang , Puhan Zhang , Ting-Kuo Lee , Gia-Wei Chern

We consider the problem of state estimation from limited discrete and noisy measurements. In particular, we focus on modal state estimation, which approximates the unknown state of the system within a prescribed basis. We estimate the…

Numerical Analysis · Mathematics 2025-05-08 Lev Kakasenko , Alen Alexanderian , Mohammad Farazmand , Arvind K. Saibaba

The optimal entanglement manipulation for a single copy of mixed states of two qubits is to transform it to a Bell diagonal state. In this paper we derive an explicit form of the local operation that can realize such a transformation. The…

Quantum Physics · Physics 2009-11-07 Li-Xiang Cen , Nan-Jian Wu , Fu-Hua Yang , Jun-Hong An

In this paper we classify the four-qubit states that commute with $U\otimes{U}\otimes{V}\otimes{V}$, where $U$ and $V$ are arbitrary members of the Pauli group. We characterize the set of separable states for this class, in terms of a…

Quantum Physics · Physics 2008-03-06 Yeong-Cherng Liang , Lluís Masanes , Andrew C. Doherty

We generalize the concept of local states (LS) for the prediction of high-dimensional, potentially mixed chaotic systems. The construction of generalized local states (GLS) relies on defining distances between time series on the basis of…

Data Analysis, Statistics and Probability · Physics 2021-09-07 Sebastian Baur , Christoph Räth

In the quantum system, perfect copying is impossible without prior knowledge. But, perfect copying is possible, if it is known that unknown states to be copied is contained by the set of orthogonal states, which is called the copied set.…

Quantum Physics · Physics 2007-05-23 Masaki Owari , Masahito Hayashi

Conventional spatial modulation (SM) is typically considered for transmission in the downlink of small-scale MIMO systems, where a single one of a set of antenna elements (AEs) is activated for implicitly conveying extra bits. By contrast,…

Information Theory · Computer Science 2016-04-26 Zhen Gao , Linglong Dai , Zhaocheng Wang , Sheng Chen , Lajos Hanzo

In this article, we show a sufficient and necessary condition for locally distinguishable bipartite states via one-way local operations and classical communication (LOCC). With this condition, we present some minimal structures of one-way…

Quantum Physics · Physics 2019-08-27 Xiaoqian Zhang , Cheng Guo , Weiqi Luo , Xiaoqing Tan

We study the distinguishability of a particular type of maximally entangled states -- the "lattice states" using a new approach of semidefinite program. With this, we successfully construct all sets of four ququad-ququad orthogonal…

Quantum Physics · Physics 2019-04-03 Zong-Xing Xiong , Mao-Sheng Li , Zhu-Jun Zheng , Chuan-Jie Zhu , Shao-Ming Fei

We consider general settings of Bell inequality experiments with many parties, where each party chooses from a finite number of measurement settings each with a finite number of outcomes. We investigate the constraints that Bell…

Quantum Physics · Physics 2015-03-19 Matty J. Hoban , Joel J. Wallman , Dan E. Browne

A key challenge of massive MTC (mMTC), is the joint detection of device activity and decoding of data. The sparse characteristics of mMTC makes compressed sensing (CS) approaches a promising solution to the device detection problem.…

Information Theory · Computer Science 2018-06-27 Kamil Senel , Erik G. Larsson

Sensitivity in metrology without entanglement is limited by the standard quantum limit (SQL). Recent studies have found that the Heisenberg-limited scaling, the ultimate sensitivity in quantum metrology, can be achieved by generalized cat…

Quantum Physics · Physics 2026-02-12 Mamiko Tatsuta , Yuichiro Matsuzaki , Hiroki Kuji , Ryusuke Hamazaki , Akira Shimizu