Article
Physics, Multidisciplinary
A. -S. F. Obada, M. M. A. Ahmed, Hoda A. Ali, Somia Abd-Elnabi, S. Sanad
Summary: This paper investigates the entanglement characteristics of maximally entangled states formed by entangled SU(1,1) semi coherent states. The study evaluates the concurrence, nonclassical properties, such as probability distribution function, second-order correlation function, and quadrature squeezing, and discusses the quasiprobability distribution functions (Q-functions).
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
(2021)
Article
Optics
Youke Xu, Shoukang Chang, Cunjin Liu, Liyun Hu, Sanqiu Liu
Summary: The phase sensitivity of the SU(1,1) interferometer was investigated, showing that the coefficient of coherent superposition can modulate performance, especially in small squeezing regions. Photon addition demonstrated the best robustness among non-Gaussian operations. For small squeezing, the first-order non-Gaussian operation may be the most preferred choice.
Article
Astronomy & Astrophysics
Lasha Berezhiani, Gia Dvali, Otari Sakhelashvili
Summary: The paper presents a construction of the de Sitter state in the form of a coherent state of gravitons, with a focus on BRST invariance. By introducing multiple copies of scalar matter coupled to gravity and taking a special double scaling limit, the construction becomes exact and allows for the calculation of collective phenomena.
Article
Quantum Science & Technology
Wei Ye, Ying Guo, Huan Zhang, Shoukang Chang, Ying Xia, Sha Xiong, Liyun Hu
Summary: We propose a theoretical scheme for generating a novel kind of non-Gaussian state by using coherent superposition of photon subtraction and addition on each mode of an input two-mode squeezed coherent state. The simulation results showed that the increase in coherent amplitudes of the CS-based TMSC is beneficial for improving the nonclassicality compared to the TMSC case. We also analyze the entanglement of the proposed CS-based TMSC and its applications in quantum teleportation. The proposed state demonstrates distinct advantages over other non-Gaussian states in terms of optimal entanglement and fidelity at small-initial squeezing ranges.
QUANTUM INFORMATION PROCESSING
(2023)
Article
Multidisciplinary Sciences
Abdel Moneim Y. Lashin, Abeer O. Badghaish, Badriah Maeed Algethami
Summary: This paper introduces and studies a new class of analytic p-valent functions in the open symmetric unit disc involving the Salagean-type q-difference operator. Furthermore, several interesting results including subordination results, coefficient inequalities, fractional q-calculus applications, and distortion theorems are presented.
Article
Mathematics, Interdisciplinary Applications
Li Wang, Qiaocheng Zhong, Rui Niu
Summary: The goal of this paper is to investigate critical Schrodinger-type fractional p & q-Laplacian problems. By employing the mountain pass theorem, the existence and asymptotic property of nontrivial solutions for the problem are proven.
FRACTAL AND FRACTIONAL
(2022)
Article
Multidisciplinary Sciences
Sansumpan Jirakulchaiwong, Kamsing Nonlaopon, Jessada Tariboon, Sotiris K. Ntouyas, Hwajoon Kim
Summary: This paper establishes (p,q)-analogues of Laplace-type integral transforms using the concept of (p,q)-calculus, studies some properties of these analogues, and applies them to solve (p,q)-differential equations.
Article
Optics
Kenan Uriostegui
Summary: Based on the coherence property under the Fourier transform, two types of coherent states are introduced into the finite discrete oscillator model of su(2) algebra and shown to be stable under the fractional Fourier-Kravchuk transform. Two discrete transforms are proposed using the set of discrete coherent states as biorthonormal bases, with analytic inverses. These transformations establish connections between Fourier and Bargmann expansions with Kravchuk symmetric functions and provide a framework for studying finite-dimensional systems in periodic or complex continuous space. Examples of applications to qudit systems are given.
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS
(2023)
Article
Chemistry, Multidisciplinary
Raj Pandya, Arjun Ashoka, Kyriacos Georgiou, Jooyoung Sung, Rahul Jayaprakash, Scott Renken, Lizhi Gai, Zhen Shen, Akshay Rao, Andrew J. Musser
Summary: This study directly observes the motion of coherent polaritons in microcavities of varying quality factor using femtosecond transient absorption microscopy. The results show that the velocity of polaritons is proportional to the quality factor of the microcavity, suggesting a link between dark and polariton states.
Article
History & Philosophy Of Science
Michael Nielsen
Summary: The author demonstrates the equivalence between de Finetti's coherence theorem and the Hahn-Banach theorem, discussing the implications of this result. The coherence theorem implies the existence of a fair countable lottery and sets that are not Lebesgue measurable, offering a subjective interpretation in line with de Finetti's views. The study suggests that de Finetti's theory of subjective probability is inherently nonconstructive, prompting questions about the coherence theorem's ability to support a legitimate theory of rational belief.
Article
Optics
Sunia Javed, Hadiah Bint Monir, Naila Amir, Shahid Iqbal
Summary: Quantum optical systems with nonclassical features are crucial for various quantum technologies, and this study presents a scheme to enhance the nonclassicality of general nonclassical coherent states (CSs) of light through multiphoton excitation. The nonclassical features are investigated through analysis of photon-counting probability distribution, Mandel Q-parameter, quadrature squeezing, and Wigner quasi-probability distribution, showing sub-Poisson photon-counting statistics, quadrature squeezing, and negativity of Wigner distribution for certain parameter values of the multiphoton excited states. The nonclassical nature of these states is shown to be enhanced with increasing photon-excitation number.
Article
Chemistry, Multidisciplinary
Zhixin Chen, Jie-Ren Deng, Songjun Hou, Xinya Bian, Jacob L. Swett, Qingqing Wu, Jonathan Baugh, Lapo Bogani, G. Andrew D. Briggs, Jan A. Mol, Colin J. Lambert, Harry L. Anderson, James O. Thomas
Summary: Since the early days of quantum mechanics, it has been known that electrons have wave-particle duality. In this study, we demonstrate that electron transmission remains phase-coherent in molecular porphyrin nanoribbons connected to graphene electrodes. This opens up new avenues for studying quantum coherence in molecular electronic and spintronic devices.
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY
(2023)
Article
Optics
Wei Ye, Chunping Chen, Shoukang Chang, Shaoyan Gao, Huan Zhang, Ying Xia, Wenwen Hu, Xuan Rao
Summary: This paper investigates the phase sensitivity and quantum Fisher information (QFI) in an SU(1,1) interferometer called Displacement-Assisted SU(1,1) [DSU(1,1)] by performing two local displacement operations (LDOs). The results show that introducing LDO significantly improves the phase sensitivity and QFI, and by controlling the LDO, the robustness of the interferometer can be enhanced.
Article
Optics
Eulalia Nicolau, Anselmo M. Marques, Jordi Mompart, Ricardo G. Dias, Veronica Ahufinger
Summary: We study the topological properties of interacting and noninteracting bosons loaded in the orbital angular momentum states l = 1 in a lattice of rings with alternating distances. At the single-particle level, the two circulation states within each site lead to two decoupled Su-Schrieffer-Heeger lattices with correlated topological phases. We characterize the topological configuration of these lattices in terms of the alternating distances, as well as their single-particle spectrum and topologically protected edge states. Second, we add on-site interactions for the two-boson case, which lead to the appearance of multiple bound states and edge bound states. We investigate the doublon bands in terms of a strong-link model and we analyze the resulting subspaces using perturbation theory in the limit of strong interactions. All analytical results are benchmarked against exact diagonalization simulations.
Article
Statistics & Probability
Oumaima Ben Mrad, Afif Masmoudi, Yousri Slaoui
Summary: In this research article, we propose and study q-probability distributions in quantum calculus. We establish the connection between q-density and probability measure and explore their properties. We extend the Transfer theorem to compute q-moments, q-entropy, q-moment generating function, and q-quantiles. We also investigate the centered q-Gaussian distribution and its relation to classical discrete distributions.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2023)
Editorial Material
Optics
Mohsen Razavi, Anthony Leverrier, Xiongfeng Ma, Bing Qi, Zhiliang Yuan
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS
(2019)
Article
Physics, Multidisciplinary
Shouvik Ghorai, Philippe Grangier, Eleni Diamanti, Anthony Leverrier
Article
Computer Science, Hardware & Architecture
Omar Fawzi, Antoine Grospellier, Anthony Leverrier
Summary: The paper investigates the asymptotic scaling of space overhead required for fault-tolerant quantum computation, showing that the polylogarithmic factor in the standard threshold theorem is unnecessary. A fault-tolerant construction is proposed that only uses a constant factor more qubits than the ideal computation. This result challenges the traditional concatenated code approach and suggests using quantum error-correcting codes with a constant encoding rate.
COMMUNICATIONS OF THE ACM
(2021)
Article
Quantum Science & Technology
Daniele Dequal, Luis Trigo Vidarte, Victor Roman Rodriguez, Giuseppe Vallone, Paolo Villoresi, Anthony Leverrier, Eleni Diamanti
Summary: Establishing secure communication links at a global scale using quantum information science is challenging but achievable, as shown by recent landmark experiments. Continuous-variable encoding in a satellite-to-ground downlink configuration can lead to positive secret key rates, especially in low-Earth-orbit scenarios, with limitations potentially arising in higher orbits due to finite-size effects. Our analysis helps determine parameters for successful secret key exchange and can guide further experimental efforts in this direction.
NPJ QUANTUM INFORMATION
(2021)
Article
Quantum Science & Technology
Antoine Grospellier, Lucien Groues, Anirudh Krishna, Anthony Leverrier
Summary: This research introduces new hybrid decoders that combine the belief propagation algorithm with the small-set-flip (SSF) decoder to improve the decoding performance of quantum low-density parity-check (LDPC) codes. Numerical simulations show that the error threshold of these codes performs well under different conditions.
Article
Quantum Science & Technology
Aurelie Denys, Peter Brown, Anthony Leverrier
Summary: The study establishes an analytical lower bound for continuous-variable quantum key distribution, supporting efficient modulation schemes and proposing a solution suitable for large-scale deployment.
Article
Quantum Science & Technology
Anthony Leverrier, Simon Apers, Christophe Vuillot
Summary: This article introduces a variant of the three-dimensional hypergraph product code construction and explores the non-CSS quantum LDPC code and its related algebraic and combinatorial problems, aiming to find potential codes for self-correcting quantum memories.
Article
Quantum Science & Technology
Anthony Leverrier, Vivien Londe, Gilles Zemor
Summary: This study introduces a new family of quantum codes called hemicubic codes. These codes are obtained by associating qubits with the faces of the n-cube and stabilizer constraints with faces of dimension (p +/- 1). The resulting quantum codes display local testability and a decoding algorithm is developed to correct errors. The study also explores the extension of this code family by considering the quotient of the n-cube by arbitrary linear classical codes. These hemicubic codes have potential applications in quantum computing.
Proceedings Paper
Computer Science, Information Systems
Omar Fawzi, Lucien Groues, Anthony Leverrier
Summary: The decoder based on linear programming for quantum CSS codes has a different approach from previous definitions, but performs well in simulations, especially in hypergraph products, where it outperforms traditional methods.
2020 IEEE INFORMATION THEORY WORKSHOP (ITW)
(2021)
Article
Computer Science, Theory & Methods
Vivien Londe, Anthony Leverrier
QUANTUM INFORMATION & COMPUTATION
(2019)
Article
Optics
Shouvik Ghorai, Eleni Diamanti, Anthony Leverrier
Proceedings Paper
Computer Science, Theory & Methods
Omar Fawzi, Antoine Grospellier, Anthony Leverrier
STOC'18: PROCEEDINGS OF THE 50TH ANNUAL ACM SIGACT SYMPOSIUM ON THEORY OF COMPUTING
(2018)
Proceedings Paper
Computer Science, Theory & Methods
Omar Fawzi, Antoine Grospellier, Anthony Leverrier
2018 IEEE 59TH ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE (FOCS)
(2018)
Proceedings Paper
Computer Science, Information Systems
Andre Chailloux, Anthony Leverrier
ADVANCES IN CRYPTOLOGY - EUROCRYPT 2017, PT III
(2017)