Article
Chemistry, Physical
Shunyue Yuan, Yueqing Chang, Lucas K. Wagner
Summary: State-of-the-art many-body wave function techniques rely on heuristics to achieve high accuracy at an attainable computational cost to solve the many-body Schrodinger equation. In this work, the von Neumann entropy of the one-particle reduced density matrix (1-RDM) is used to compare different wave function methods for benchmark hydrogen chains. A new algorithm called the circle reject method is presented to improve the efficiency of evaluating the von Neumann entropy using quantum Monte Carlo. The results show that the von Neumann entropy and eigenvalues of the 1-RDM can distinguish between dynamic and static correlation.
JOURNAL OF CHEMICAL PHYSICS
(2022)
Article
Quantum Science & Technology
Rain Lenny, Amit Te'eni, Bar Y. Peled, Avishy Carmi, Eliahu Cohen
Summary: Entanglement is a crucial quantum resource for various quantum technologies. Detecting and characterizing entangled states, especially for multipartite mixed states, is challenging. The correlation minor norm (CMN) has been proposed as a bipartite entanglement detector using quantum correlation matrix bounds. This paper explores generalizations of CMN to multipartite systems based on matricizations of the correlation tensor. The CMN is shown to successfully detect and differentiate classes of multipartite entangled states. The correlations within reduced density matrices are also analyzed for entanglement detection. Finally, matricizations of the correlation tensor are used to introduce a measure of global quantum discord.
QUANTUM INFORMATION PROCESSING
(2023)
Article
Mathematics, Applied
Qian Liu, Jianrui Xie, Ximeng Liu, Jian Zou
Summary: This paper explores nine classes of permutation polynomials over F-pn and proposes five classes of complete permutation polynomials over F-p2m, based on AGW criterion and determination of solutions to equations over finite fields.
Article
Physics, Multidisciplinary
Michael G. Jabbour, Jonatan Bohr Brask
Summary: We present a simple sufficient criterion to determine the locality of correlations obtained from measurements on a Gaussian quantum state. The criterion involves the construction of a local-hidden-variable model that utilizes a portion of the inherent Gaussian noise of the state for the measurements. We demonstrate the application of our criterion in the context of displaced photodetection on a two-mode squeezed state, where it reveals the presence of a local-hidden-variable model for a specific range of parameters despite the entanglement of the state.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
Lemin Lai, Shunlong Luo
Summary: Highly symmetric quantum measurements have significant importance in both foundational and practical aspects of quantum information theory. A recent study proposes a broad class of symmetric measurements as a generalization of mutually unbiased measurements and general symmetric informationally complete positive-operator-valued measures. The study investigates the role of these symmetric measurements in entanglement detection and presents a separability criterion for bipartite systems based on correlation matrices defined via symmetric measurements. Moreover, two efficient criteria are introduced to detect entanglement in tripartite quantum states using symmetric measurements.
COMMUNICATIONS IN THEORETICAL PHYSICS
(2023)
Article
Physics, Multidisciplinary
Mohamad Niknam, Lea F. Santos, David G. Cory
Summary: The research proposes and experimentally measures an entropy that quantifies correlations among qubits in a nearly isolated quantum system. Due to spin-spin interactions, information flows from a central spin to surrounding ones forming clusters of multispin correlations that grow over time. A nuclear magnetic resonance experiment is used to directly measure the amplitudes of multispin correlations and compute the evolution of what is called correlation Renyi entropy, which continues to grow even after the equilibration of entanglement entropy. The study also analyzes how the saturation point and timescale for the equilibration of the correlation Renyi entropy depend on the system size.
PHYSICAL REVIEW LETTERS
(2021)
Article
Automation & Control Systems
Sammy Khalife, Douglas Goncalves, Youssef Allouah, Leo Liberti
Summary: This study discusses the properties of generative models for word embeddings, focusing on the asymptotic linear relationship between the pointwise mutual information (PMI) of pairs of words and the scalar product of their vectors. However, empirical results show that this relationship does not hold with arbitrarily small error in practice.
JOURNAL OF MACHINE LEARNING RESEARCH
(2021)
Article
Multidisciplinary Sciences
Bar Y. Peled, Amit Te'eni, Avishy Carmi, Eliahu Cohen
Summary: This paper presents an entanglement detection approach based on measuring quantum correlations and constructing a correlation matrix. The method introduces Correlation Minor Norms to detect entanglement, generalizing the CCNR criterion. It is believed to be advantageous due to its simplicity and direct measurability in experiments, and demonstrates a stronger performance compared to the CCNR criterion.
SCIENTIFIC REPORTS
(2021)
Article
Physics, Multidisciplinary
Stefan Richter, Sebastian Wolf, Joachim von Zanthier, Ferdinand Schmidt-Kaler
Summary: Cross-correlation signals are analyzed to determine spatial frequency and distance of ions, showing excellent agreement with independent measurements. The method is shown to be effective for two-dimensional arrays of emitters, providing structural information where direct imaging techniques fail.
PHYSICAL REVIEW LETTERS
(2021)
Article
Optics
Alex Kwiatkowski, Ezad Shojaee, Sristy Agrawal, Akira Kyle, Curtis L. Rau, Scott Glancy, Emanuel Knill
Summary: This work investigates independent single-mode Gaussian error channels on modes A and B that occur prior to a joint Gaussian measurement. The study determines the set of pairs of such channels that result in all Gaussian measurements being separable and therefore unsuitable for entanglement swapping or teleportation of arbitrary input states.
Article
Materials Science, Composites
Zheng-Ming Huang, Li-sheng Wang, Feng Jiang, Y. D. Xue
Summary: This paper predicts composite failures induced by matrix based on the true stress concept established by the author. Matrix tensile and compressive failures correspond to different mechanisms, and can be detected by quadratic failure criterion and slippage failure criterion respectively. The proposed failure criteria show good efficiency in correlating predicted and measured failure envelopes of various composite systems.
COMPOSITES SCIENCE AND TECHNOLOGY
(2021)
Article
Optics
Maria Poxleitner, Haye Hinrichsen
Summary: Inspired by a previously introduced non-Gaussian two-parametric continuous-variable analog of an isotropic state, the study proposes a simple yet interesting Gaussian analog of an isotropic state with a correlation structure controlled by a mixing probability. Different from conventional isotropic states, the Gaussian version here is defined by a convex combination of covariance matrices and exhibits a finite threshold for entanglement in the parameter space, similar to the finite-dimensional two-qubit isotropic state.
Article
Engineering, Electrical & Electronic
Yunfei Chen, Zhutian Yang, Jie Zhang, Mohamed-Slim Alouini
Summary: This paper investigates the channel estimation and non-coherent detection problems of hardware impaired signals in a single-carrier, single-antenna, and single-hop system. By utilizing new non-coherent detectors and channel estimators, performance gains are achieved, significantly reducing the impact of hardware impairments.
IEEE TRANSACTIONS ON COMMUNICATIONS
(2021)
Article
Mathematics, Applied
Gniewomir Sarbicki, Giovanni Scala, Dariusz Chruscinski
Summary: The detection power of separability criteria based on a correlation tensor was tested in a family of generalized isotropic states in d(1) circle times d(2). It was found that for d(1) <= d(2), all these criteria are weaker than the positive partial transposition (PPT) criterion, and a criterion based on symmetrically informationally complete positive operator-valued measure (SIC-POVMs) is stronger than realignment criterion, as supported by the analysis.
OPEN SYSTEMS & INFORMATION DYNAMICS
(2021)
Article
Mathematics, Applied
Satyajit Sahoo, Ulas Yamanci
Summary: In this article, we extend certain earlier results in the literature by obtaining Berezin number inequalities. We also provide reverse Berezin number inequalities for normal operators on reproducing kernel Hilbert spaces. Furthermore, we characterize projection operators and partial isometry operators in terms of Berezin number.
Article
Optics
Julio I. de Vicente
Article
Optics
D. Sauerwein, K. Schwaiger, M. Cuquet, J. I. de Vicente, B. Kraus
Article
Physics, Mathematical
C. Spee, J. I. de Vicente, B. Kraus
JOURNAL OF MATHEMATICAL PHYSICS
(2016)
Article
Physics, Multidisciplinary
Julio I. de Vicente, Alexander Streltsov
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2017)
Article
Physics, Multidisciplinary
C. Spee, J. I. de Vicente, D. Sauerwein, B. Kraus
PHYSICAL REVIEW LETTERS
(2017)
Article
Physics, Multidisciplinary
Julio de Vicente
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2019)
Article
Physics, Multidisciplinary
Patricia Contreras-Tejada, Carlos Palazuelos, Julio de Vicente
PHYSICAL REVIEW LETTERS
(2019)
Article
Physics, Mathematical
Eric Chitambar, Julio de Vicente, Mark W. Girard, Gilad Gour
JOURNAL OF MATHEMATICAL PHYSICS
(2020)
Article
Physics, Multidisciplinary
Abderraman Amr, Carlos Palazuelos, Julio de Vicente
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2020)
Article
Physics, Multidisciplinary
Martin Hebenstreit, Matthias Englbrecht, Cornelia Spee, Julio I. de Vicente, Barbara Kraus
Summary: The paper investigates the transformation of entangled pure states using local operations assisted by classical communication, showing that considering SEP maps with invertible Kraus operators is not enough to determine if a state can be mapped to another via general SEP transformations. The introduction of projective measurements with zero probability on the input state allows for the construction of SEP maps, while non-invertible Kraus operators do not aid in state transformations under LOCC with finitely many rounds of classical communication.
NEW JOURNAL OF PHYSICS
(2021)
Article
Physics, Multidisciplinary
Patricia Contreras-Tejada, Carlos Palazuelos, Julio de Vicente
Summary: The research shows that any network where parties are connected by bipartite pure entangled states is genuinely multipartite nonlocal, regardless of the amount of entanglement in the shared states and the network's topology. This paves the way for generating genuine multipartite nonlocality in connected networks.
PHYSICAL REVIEW LETTERS
(2021)
Article
Optics
David Gunn, Martin Hebenstreit, Cornelia Spee, Julio I. de Vicente, Barbara Kraus
Summary: Understanding multipartite entanglement is a crucial goal in quantum information. In the case of multipartite pure states, it has been shown that they are generically isolated and cannot be transformed under local operations assisted by classical communication (LOCC). However, in a real laboratory, transformations are often approximate rather than exact. This motivates the study of approximate LOCC transformations. In this article, the authors review the known results for bipartite states and present the remaining gaps in the multipartite case. They show that it is sufficient to consider pure initial states, LOCC protocols with finitely many rounds of communication, and approximate transformations can be approximated by ensemble transformations within an SLOCC class.
Article
Optics
Martin Hebenstreit, Cornelia Spee, Nicky Kai Hong Li, Barbara Kraus, Julio de Vicente
Summary: The study of state transformations under local operations and classical communication (LOCC) is crucial in entanglement theory. While this has been well-studied for pure bipartite states, the situation is different for systems with more parties. This paper focuses on LOCC convertibility for permutation-symmetric pure states and discovers severe obstructions in most cases.
Article
Optics
Julio I. de Vicente
Article
Optics
J. I. de Vicente, C. Spee, D. Sauerwein, B. Kraus
