Article
Physics, Multidisciplinary
James Fullwood
Summary: We define mutual information as a map on ordered pairs of discrete random variables satisfying a set of axioms, similar to the characterization of Shannon entropy by Faddeev. Our characterization introduces a new axiom based on the concept of a Markov triangle, which represents a composition of communication channels where conditional entropy acts functorially. Our proofs do not involve logarithms.
Article
Quantum Science & Technology
Poetri Sonya Tarabunga, Emanuele Tirrito, Titas Chanda, Marcello Dalmonte
Summary: We introduce a method to measure many-body magic in quantum systems based on a statistical exploration of Pauli strings via Markov chains. The method allows efficient extraction of magic contained in correlations between widely separated subsystems. The importance of magic in many-body systems is demonstrated through various discoveries, such as its association with conformal quantum criticality and its ability to identify phase transitions.
Article
Quantum Science & Technology
Saikat Sur, V Subrahmanyam
Summary: We investigated the propagation of local bipartite quantum correlations and tripartite mutual information to characterize information scrambling during the dynamical evolution of spin chains. The results show that local correlations spread consistently in spin-conserving dynamics.
QUANTUM INFORMATION PROCESSING
(2022)
Article
Optics
Xiaocong Sun, Yajun Wang, Yuhang Tian, Qingwei Wang, Long Tian, Yaohui Zheng, Kunchi Peng
Summary: A new scheme of deterministic and universal quantum squeezing gate with nonlocal operation property has been developed and demonstrated in this study, showing high-fidelity squeezing and complex operations. The potential applications of the method in distributed quantum processor, creation of exotic nonclassical states, and quantum error correction have been explored.
LASER & PHOTONICS REVIEWS
(2022)
Article
Mathematics, Applied
Vaiva Vasiliauskaite, Fabrizio Lillo, Nino Antulov-Fantulin
Summary: We study the information dynamics between the largest Bitcoin exchange markets during the 2017-2018 bubble. By analyzing high-frequency market microstructure observables using different information-theoretic measures, we find temporal changes in information sharing across markets. Specifically, we study the time-varying components of predictability, memory, and (a)synchronous coupling using transfer entropy, active information storage, and multi-information. By comparing these empirical findings with several models, we argue that the results may relate to regime shifts and changes in the direction of information flow between different market observables.
Article
Physics, Multidisciplinary
Sebastian Horvat, Xiaoqin Gao, Borivoje Dakic
Summary: This work demonstrates that universal quantum computation can be achieved by supplementing a set of classical gates with a quantum control. Even a primitive computer with only SWAP gates can be lifted to universal quantum computing with appropriate quantum control.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Multidisciplinary
Emma C. King, Johannes N. Kriel, Michael Kastner
Summary: We studied the Adiabatic loss in cooling a many-body quantum system towards a quantum critical point. The excitation density that represents the degree of adiabaticity follows scaling laws with cooling velocity, initial, and final temperatures. These scaling laws are universal and depend on the critical exponents of the quantum phase transition. We analytically showed the validity of these statements for a Kitaev quantum wire coupled to Markovian baths and argued their general applicability.
PHYSICAL REVIEW LETTERS
(2023)
Article
Materials Science, Multidisciplinary
Yijian Zou
Summary: This study demonstrates how universal information about the quantum critical point of a critical quantum spin chain can be extracted from wavefunction overlaps. Specifically, the overlap between low-energy eigenstates of the spin chain Hamiltonian with different boundary conditions is considered. It is found that such overlaps decay polynomially with the system size, with the exponent solely dependent on the central charge. Additionally, the bulk-to-boundary operator product expansion (OPE) coefficients can be obtained from the overlaps involving excited states.
Article
Quantum Science & Technology
Ming-Xing Luo
Summary: Shannon information is commonly used to measure the uncertainty of classical probabilistic distributions and is generally believed to be positive. However, it is not clear why there can be negative information for more than two random variables in finite dimensional spaces. This research shows that the negative tripartite Shannon mutual information implies specific Bayesian network representations and can be obtained from general tripartite Bayesian networks with quantum realizations. This provides device-independent evidence of negative Shannon information and extends the result to general networks.
ADVANCED QUANTUM TECHNOLOGIES
(2022)
Article
Physics, Multidisciplinary
Achim Kempf
Summary: This study presents a new perspective where the traditional concepts of spacetime and matter are replaced by the notion of correlation strength, suggesting that abstract correlations are the primary structure. In the low energy regime, spacetime and matter emerge as approximate representations of abstract correlators.
FRONTIERS IN PHYSICS
(2021)
Article
Computer Science, Information Systems
Daniel Ebler, Michal Horodecki, Marcin Marciniak, Tomasz Mlynik, Marco Tulio Quintino, Michal Studzinski
Summary: This study presents optimal quantum circuits for converting k calls of U-d into its complex conjugate (U-d) over bar. The circuits allow for parallel implementation and have been proven to be optimal for any k and d, with an average fidelity of ?F ? = k+1/d(d-k). The optimality of the circuits has been shown for average fidelity, noise robustness, and other standard figures of merit. The results extend previous works that focused on a single call (k = 1) of the Ud operation and the special case of k = d - 1 calls. Furthermore, the study demonstrates that the results encompass optimal transformations from k calls of U-d to f (U-d) for any arbitrary homomorphism f from the group of d-dimensional unitary operators to itself, as complex conjugation is the only non-trivial automorphism on this group. Lastly, the optimal complex conjugation implementation is applied to design a probabilistic circuit for reversing arbitrary quantum evolutions.
IEEE TRANSACTIONS ON INFORMATION THEORY
(2023)
Article
Physics, Multidisciplinary
Andrew Rolph
Summary: In this article, we study the entanglement structure and dynamics in CFTs and black holes, employing a local entanglement measure known as the entanglement contour. We calculate the entanglement contour for different systems, including 1+1-dimensional condensed matter systems and simplified models of black hole evaporation. Our findings reveal universal results for the entanglement contours in low energy non-equilibrium states of 2D CFTs and illustrate the presence of an island phase transition in the entanglement contour of a non-gravitational bath coupled to an extremal AdS(2) black hole.
Article
Quantum Science & Technology
Qiang Miao, Thomas Barthel
Summary: With increasing subsystem size and energy, bipartite entanglement entropies of energy eigenstates cross over from the groundstate scaling to a volume law. It was previously pointed out that the entanglement entropies of almost all eigenstates follow a single crossover function when strong or weak eigenstate thermalization applies. Here, the scaling properties for integrable and non-integrable interacting spin 1/2 chains at criticality are substantiated using exact diagonalization.
Article
Astronomy & Astrophysics
Angel J. Murcia, Dmitri Sorokin
Summary: In this article, we prove the universal properties of charge transport in holographic nonminimal extensions of four-dimensional Einstein-Maxwell theory with exact electromagnetic duality invariance. We show that the conductivity is a universal frequency-independent constant at zero momentum and derive analytical expressions for non-zero momentum conductivities in any holographic duality-invariant theory in the limit of large frequencies and small frequencies and momenta. We also demonstrate that the conductivities in a general relativity neutral black-hole background are independent of the choice of duality-invariant theory and the contributions from nonminimal couplings of the gauge field to gravity are subleading.
Article
Physics, Multidisciplinary
Collins Okon Edet, Francisco Cleiton E. Lima, Carlos Alberto S. Almeida, Norshamsuri Ali, Muhammad Asjad
Summary: The study investigates quantum information using the Aharanov-Bohm (AB) ring in Yukawa mechanics in curved space. Shannon entropy is obtained through the eigenfunctions of the system, allowing exploration of quantum information in position and reciprocal space. The study also discusses the influence of magnetic field, AB flux, and topological defect on quantum states and information entropy.
Article
Mechanics
Francisco C. Alcaraz, Vladimir Rittenberg
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2015)
Article
Physics, Multidisciplinary
M. J. Lazo, A. A. Ferreira, F. C. Alcaraz
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2015)
Article
Physics, Multidisciplinary
Francisco C. Alcaraz, Murray T. Batchelor, Zi-Zhong Liu
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2017)
Article
Mechanics
D. A. C. Jara, F. C. Alcaraz
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2017)
Article
Mechanics
D. A. C. Jara, F. C. Alcaraz
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2018)
Article
Materials Science, Multidisciplinary
Francisco C. Alcaraz, Rodrigo A. Pimenta, Jesko Sirker
Summary: A new family of free fermionic quantum spin chains with multispin interactions was introduced. The study demonstrates the construction of standard quantum Ising chains with inhomogeneous couplings that possess the same spectra as the novel spin chains. The phase diagram of the inhomogeneous Ising model is numerically investigated for the simplest nontrivial case.
Article
Materials Science, Multidisciplinary
Francisco C. Alcaraz, Jose A. Hoyos, Rodrigo A. Pimenta
Summary: In this study, a numerical method for evaluating mass gaps and low-lying energy gaps of free-fermionic and free-parafermionic quantum chains is proposed, and its effectiveness is demonstrated through examples involving Ising quantum chains with uniform and random coupling constants. The use of the Laguerre bound as an initial guess for the largest root in the method is shown to provide accurate estimates for mass gaps sharing similar finite-size behavior as exact results. Additionally, the method is compared with the strong-disorder renormalization-group method in terms of computational efficiency and accuracy.
Article
Physics, Fluids & Plasmas
Francisco C. Alcaraz, Rodrigo A. Pimenta
Summary: The relationship between the eigenspectrum of Ising and XY quantum chains is well understood in terms of freefermionic quasiparticles. A new family of XY models with N-multispin interactions is introduced in this paper, where the eigenspectra are given in terms of combinations of Z(N) free-parafermionic quasienergies. The correspondence between Z(N) free-parafermionic models and related XY models is established through the identification of characteristic polynomials.
Article
Materials Science, Multidisciplinary
Francisco C. Alcaraz, Rodrigo A. Pimenta
Article
Materials Science, Multidisciplinary
Francisco C. Alcaraz, Rodrigo A. Pimenta
Article
Hospitality, Leisure, Sport & Tourism
Francisco Caparros Alcaraz
CUADERNOS DE TURISMO
(2018)
Article
Materials Science, Multidisciplinary
J. C. Xavier, F. C. Alcaraz, G. Sierra
Article
Materials Science, Multidisciplinary
F. C. Alcaraz
Article
Materials Science, Multidisciplinary
Joao C. Getelina, Francisco C. Alcaraz, Jose A. Hoyos
Article
Physics, Fluids & Plasmas
Francisco C. Alcaraz, Murray T. Batchelor