Article
Quantum Science & Technology
Liang Xiong, Jianzhou Liu, Qi Qin
Summary: In this paper, a method for computing the entanglement of multipartite pure and mixed states is proposed using real tensor spectrum theory. Theoretical upper and lower bounds for the geometric measure of entanglement are derived for weakly symmetric pure states, and the upper bound is also extended to multipartite mixed states.
QUANTUM INFORMATION PROCESSING
(2022)
Article
Materials Science, Multidisciplinary
Yu Lu, Shao-Ming Fei
Summary: We investigate genuine multipartite entanglement of arbitrary n-partite quantum states by utilizing the generalized Pauli operators to represent the density matrices. A general framework for detecting genuine multipartite entanglement and non-full separability of multipartite quantum states is introduced, based on correlation tensors. An effective criterion is derived to verify the genuine multipartite entanglement. Detailed examples demonstrate that the criterion detects more genuine multipartite entanglement than existing criteria.
RESULTS IN PHYSICS
(2023)
Article
Quantum Science & Technology
Hui Zhao, Yu-Qiu Liu, Naihuan Jing, Zhi-Xi Wang
Summary: This paper studies genuine multipartite entanglement of arbitrary n-partite quantum states by using generalized Pauli operators. The Weyl representation with these operators simplifies computation and allows for the derivation of useful criteria for detecting genuine tripartite entanglement. The results are generalized to detect genuine entanglement in multipartite quantum states of arbitrary dimensions, and examples demonstrate its effectiveness in detecting more genuine entangled states than previous methods.
QUANTUM INFORMATION PROCESSING
(2022)
Article
Quantum Science & Technology
Hui Zhao, Jia Hao, Shao-Ming Fei, Zhi-Xi Wang, Naihuan Jing
Summary: This paper studies the detection of genuine multipartite entanglement using the one-particle loss operator. A criterion for detecting genuine pure tripartite entanglement is derived, which is then extended to arbitrary pure multipartite states. For mixed states, an effective criterion for arbitrary dimensional genuine tripartite entanglement is obtained using correlation tensors of the Bloch representation of density matrices. Detailed examples demonstrate that our criterion is capable of detecting more genuine tripartite entanglement states than some existing criteria.
QUANTUM INFORMATION PROCESSING
(2023)
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
Adam Burchardt, Jakub Czartowski, Karol Zyczkowski
Summary: A construction method based on group theory is used to create genuinely entangled multipartite quantum states with desired symmetry properties. Quantum circuits are proposed to efficiently generate these states, which have smaller complexity compared to fully symmetric entangled states. Exemplary five-qubit quantum states are simulated on quantum computers.
Article
Physics, Multidisciplinary
D. Malpetti, A. Bellisario, C. Macchiavello
Summary: We study the entanglement properties of hypergraph states in arbitrary finite dimensions, calculating the multipartite entanglement of elementary qudit hypergraph states. We find that, similar to the qubit case, there exists a lower bound for the multipartite entanglement of connected qudit hypergraph states in arbitrary dimensions. This lower bound is determined by the entanglement of an equal-dimension elementary hypergraph state with the same number of qudits as the largest-cardinality hyperedge. We also observe interesting differences in the entanglement features between prime and non-prime dimensions.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Chemistry, Multidisciplinary
Pingxun Wang
Summary: This paper introduces a method for classifying multipartite entanglement using convex hull and tangent hyperplane, and improves the accuracy of classification by applying ensemble learning of machine learning to accelerate the calculation.
APPLIED SCIENCES-BASEL
(2022)
Article
Physics, Mathematical
Peter Vrana
Summary: We propose a family of additive entanglement measures for pure multipartite states. This family is parameterized by a simplex and ranges from the Renyi entropies of the one-particle reduced states to the recently discovered universal spectral points that serve as monotones for tensor degeneration (Christandl, Vrana, and Zuiddam, J of the AMS 2023).
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Mathematics, Applied
Matthew M. Lin, Moody T. Chu
Summary: The paper presents a study on the approximation problem of a multipartite system with entangled symmetric rank-1 matrices via the Kronecker tensor product. The involvement of the Kronecker product makes the problem more challenging compared to conventional low-rank tensor approximations, but the paper proposes effective numerical iterative methods to tackle the problem.
JOURNAL OF SCIENTIFIC COMPUTING
(2022)
Article
Optics
Run Yan Teh, Manuel Gessner, Margaret D. Reid, Matteo Fadel
Summary: The paper introduces methods for detecting the genuine N-partite steering inseparability through deriving inequalities, distinguishing between full N-partite steering inseparability and stricter genuine N-partite steering, and using variances of quadrature phase amplitudes for detection. It also discusses the creation and detection of genuine N-partite steerable states and experimental confirmation of tripartite steering, as well as the distribution of bipartite steering and entanglement among systems in the tripartite case. The inequalities derived in the paper are not based on the assumption of Gaussian states, providing an advantage for quantum communication protocols.
Article
Quantum Science & Technology
Matthew M. Lin, Moody T. Chu
Summary: This article proposes two numerical methods for quantitatively evaluating the entanglement of mixed multipartite states. The effectiveness and efficiency of these methods are demonstrated through numerical experiments.
QUANTUM INFORMATION PROCESSING
(2022)
Article
Quantum Science & Technology
Ming-Xing Luo
Summary: This paper aims to address the issue of verifying single multipartite entanglement not generated by multisource quantum networks, by proposing a new local model and Bell inequality, demonstrating new genuinely multipartite entanglement in distributive scenarios.
ADVANCED QUANTUM TECHNOLOGIES
(2021)
Article
Physics, Multidisciplinary
Naihuan Jing, Meiming Zhang
Summary: In this paper, the genuine multipartite entanglement was revisited using a simplified method involving Schmidt decomposition and local unitary transformation. A measurement based on the trace norm of the whole correlation tensor was proposed to detect genuine multipartite entanglement, and the criterion was extended to tripartite higher-dimensional systems.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
(2022)
Article
Optics
Yang Liu, Yin Cai, Binshuo Luo, Jin Yan, Mengqi Niu, Feng Li, Yanpeng Zhang
Summary: The study introduces an efficient method to generate collective multipartite EPR steering by cascading parametric amplification processes, optimizing collective EPR steerability through adjusting parametric gains, which holds potential for constructing quantum networks.
Article
Physics, Multidisciplinary
Brij Mohan, Siddhartha Das, Arun Kumar Pati
Summary: This study determines the speed limits on the evolution of informational measures in quantum systems, such as von Neumann entropy, maximal information, and coherence. These limits provide crucial insights into the minimal time required for erasing quantum information, which is essential for future quantum computing devices.
NEW JOURNAL OF PHYSICS
(2022)
Article
Multidisciplinary Sciences
Kai Sun, Zheng-Hao Liu, Yan Wang, Ze-Yan Hao, Xiao-Ye Xu, Jin-Shi Xu, Chuan-Feng Li, Guang-Can Guo, Alessia Castellini, Ludovico Lami, Andreas Winter, Gerardo Adesso, Giuseppe Compagno, Rosario Lo Franco
Summary: This study experimentally demonstrates the different contributions to quantum coherence from identical and nonidentical particles, and proves that independent indistinguishable particles can serve as controllable resources of coherence and entanglement.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2022)
Article
Mathematics, Applied
Gareth Boreland, Ivan G. Todorov, Andreas Winter
Summary: In this paper, we establish a second anti-blocker theorem for noncommutative convex corners, show the continuity of the anti-blocking operation on bounded sets of convex corners, and define optimization parameters for a given convex corner that generalize well-known graph theoretic quantities. Additionally, we introduce the entropy of a state with respect to a convex corner, characterize its maximum value in terms of a generalized fractional chromatic number, and establish entropy splitting results that demonstrate the entropic complementarity between a convex corner and its anti-blocker. Furthermore, we explore extremal tensor products of convex corners and examine the behavior of the introduced parameters with respect to tensoring. Specializing to noncommutative graphs, we obtain quantum versions of the fractional chromatic number and the clique covering number, as well as a notion of noncommutative graph entropy of a state, which we show to be continuous with respect to the state and the graph. Lastly, we define the Witsenhausen rate of a noncommutative graph and compute the values of our parameters in some specific cases.
ILLINOIS JOURNAL OF MATHEMATICS
(2022)
Article
Physics, Mathematical
Ilaria Svampa, Stefano Mancini, Andreas Winter
Summary: This study introduces the concept of p-adic quantum bit (p-qubit) in the context of p-adic quantum mechanics and proposes a program to classify its continuous unitary projective representations.
JOURNAL OF MATHEMATICAL PHYSICS
(2022)
Article
Physics, Multidisciplinary
Zahra Baghali Khanian, Manabendra Nath Bera, Arnau Riera, Maciej Lewenstein, Andreas Winter
Summary: We extend the previous results on quantum thermodynamics to the case of multiple non-commuting charges and develop a resource theory of thermodynamics for asymptotically many non-interacting systems. The phase diagram of the system is formed by associating the vector of expected charge values and entropy with every state. Our key result is the Asymptotic Equivalence Theorem, which connects the equivalence classes of states under asymptotic charge-conserving unitaries with the points on the phase diagram. Using the phase diagram, we analyze the first and second laws of thermodynamics and provide insights into the storage of different charges in physically separate batteries.
ANNALES HENRI POINCARE
(2023)
Article
Physics, Applied
Christopher K. Zeitler, Joseph C. Chapman, Eric Chitambar, Paul G. Kwiat
Summary: In this study, we experimentally investigate the properties of hyperentangled states with simultaneous entanglement in multiple degrees of freedom. We find that Bell tests beyond the standard inequality can reveal the higher-dimensional nature of hyperentangled states in a device-independent manner. Our results demonstrate the existence of entanglement in a higher-dimensional Hilbert space, in addition to simultaneous entanglement in separate degrees of freedom.
PHYSICAL REVIEW APPLIED
(2022)
Article
Nanoscience & Nanotechnology
Beihan Zhao, Vishal Sankar Sivasankar, Swarup Kumar Subudhi, Abhijit Dasgupta, Siddhartha Das
Summary: In this study, we demonstrated the humidity-sensing ability and robustness of syringe-printed single-walled carbon nanotube-graphene oxide (SWCNT-GO) traces on adhesive and flexible PET thin films. The printed traces showed high humidity sensitivity and could be deployed on surfaces with different curvatures. The SWCNT-GO traces exhibited enhanced humidity sensitivity due to the hygroscopic swelling of GO flakes under humid conditions. Furthermore, the traces demonstrated long-term stability and reliable performance even after temperature cycling tests.
ACS APPLIED NANO MATERIALS
(2023)
Article
Computer Science, Information Systems
Eric Chitambar, Ian George, Brian Doolittle, Marius Junge
Summary: This work introduces the communication value (cv) of a quantum channel, which quantifies the optimal probability of guessing the input from the output. It shows that the cv offers dual interpretations as the classical communication cost for simulating different aspects of the channel. Characterizing the cv as a generalized conditional min-entropy, the study evaluates the cv for various qubit channels and channels with symmetries. It finds that certain channels have multiplicative cv when used in parallel, while others do not. The work also investigates relaxations of the channel cv to other cones such as the set of operators with a positive partial transpose.
IEEE TRANSACTIONS ON INFORMATION THEORY
(2023)
Review
Materials Science, Multidisciplinary
P. Siva Prasad, Bharat C. G. Marupalli, Siddhartha Das, Karabi Das
Summary: Calcium phosphates, such as hydroxyapatite (HAp), are widely used biomaterials for bone tissue repair. Surfactants have been utilized as templates to control the morphology and size of synthetic HAp particles. This review explores the effects of different chemical and biosurfactants on the structural and biological properties of surfactant-assisted HAp particles.
JOURNAL OF MATERIALS SCIENCE
(2023)
Article
Chemistry, Physical
Bhargav Sai Chava, Ghansham Rajendrasingh Chandel, Siddhartha Das
Summary: In this study, we report the entropy-driven filling of mildly hydrophilic boron nitride nanotubes (BNNTs) with water, which is governed by the unique structure and diameter of the nanotubes. The rotational and translational entropy components play a crucial role in the filling process, with the specific contribution depending on the diameter of the BNNTs and the structure of the water molecules.
JOURNAL OF PHYSICAL CHEMISTRY C
(2023)
Article
Computer Science, Information Systems
Manideep Mamindlapally, Andreas Winter
Summary: This article discusses the derivation of Singleton bounds on the performance of entanglement-assisted hybrid classical-quantum error correcting codes using quantum Shannon theoretic methods. It shows that the triple-rate region of possible EACQ codes is contained within the quantum Shannon theoretic rate region of a memoryless erasure channel, which is a polytope. The study demonstrates that a large part of this region can be achieved by certain EACQ codes under certain conditions.
IEEE TRANSACTIONS ON INFORMATION THEORY
(2023)
Correction
Optics
Karol Horodecki, Marek Winczewski, Siddhartha Das
Article
Fisheries
Andreas Winter, Alexander Arkhipkin
Summary: Data from surveys conducted in 2013, 2018, 2019, and 2021 were analyzed to investigate changes in skate biomass in waters around the Falkland Islands. The surveys showed a decrease in estimated commercial-size skate biomass for most species and overall. This decline was observed both in areas closed to skate fishing and those open to target fishing, indicating the impact of bycatch in finfish trawls.
Article
Optics
Robert Czupryniak, Eric Chitambar, John Steinmetz, Andrew N. Jordan
Summary: In this work, we study the clock game, a task within the framework of quantum information theory, for improving quantum-enhanced telescopy schemes. We translate the problem of learning the arrival time of a stellar photon into an abstract game called the clock game. We propose a winning strategy that involves a quantum non-demolition measurement to verify the occupancy of photon in different spatio-temporal modes without disturbing the phase information. We prove lower bounds on the entanglement cost required to win the clock game and show that the telescopy protocol proposed by Khabiboulline et al. is optimal in terms of entanglement consumption. We also consider the full task of phase extraction and demonstrate that the quantum Fisher information of the stellar phase can be achieved through local measurements and shared entanglement without nonlinear optical operations.
Article
Optics
Chloe Kim, Eric Chitambar
Summary: This paper computes the optimal global fidelity for phase-covariant cloning machines and considers the optimal simulations of cloning and transpose cloning map. The results provide important insights into the performance evaluation and optimization of quantum cloning machines.
