Consciousness as a Quantum Informational Invariant: A Framework for Unification with Physics and Cosmology

In this paper, we will introduce a generalized soldering p-forms geometry, which can be the right framework to describe many new approaches and concepts in modern physics. Here we will treat some aspects of the theory of local cohomology in fields theory or more precisely the theory of soldering-form conservation laws in physics. We provide some illustrative applications, primarily taken from the Einstein equations of general theory of relativity and Yang–Mills theory. This theory can be considered to be a generalization of Noether's theory of conserved current to differential forms of any degree. An essential result of this, is that the conservation of the energy–momentum in general relativity, is linked to the fact that the vacuum field equations are equivalent to the integrability conditions of a first-order system of differential equations. We also apply the idea of the soldered space and the integrability conditions to the case of Yang–Mills theory. The mathematical framework, where these intuitive considerations would fit naturally, can be used to describe also the dynamics of changing manifolds.

The information-theoretic security of optical-fiber based quantum communication is the fundamental question of quantum cryptography. Quantum cryptographic schemes use photons as information carriers. The physical properties of photons make it possible to use quantum bits to realize unconditionally secure quantum communication over the current standard optical fiber network. Quantum cryptography is one of the most important and advanced fields in the area of quantum information processing. This paper analyzes the information-theoretic security of the most important and prevalent optical-fiber based QKD schemes, such as BB84, Six-state and DPS QKD schemes, using efficient information geometric approaches. We study the information-theoretic impacts of the most general eavesdropping attacks against these protocols using efficient algorithms. Currently, the ability to perform these attacks is well beyond today’s technological capabilities; however, in the future, these types of attacks can be used to eavesdrop on quantum communications over optical fibers. The information-theoretic security of these protocols is analyzed by information geometric algorithms and abstract geometrical objects. To describe the security of the protocols, we introduce the quantum informational ball representation, and we discover the connection between the length of the optical fiber and the radius of the quantum informational ball. For practical reasons, we will also demonstrate our algorithm for the DPS QKD protocol.

Quantum teleportation using neutral pseudoscalar mesons shows novel connections between particle physics and quantum information. The projection basis, which is crucial in the teleportation process, is determined by the conservation laws of particle physics, and is different from the Bell basis, as in the usual case. Here we show that one can verify the teleportation process by CP measurement. This method significantly simplifies the high energy quantum teleportation protocol. Especially, it is rigorous, and is independent of whether CP is violated in weak decays. This method can also be applied to general verification of Einstein-Podolsky-Rosen correlations in particle physics.

The second quantum revolution is all about exploiting the quantum nature of atoms and molecules to execute quantum information processing tasks. To boost this growing endeavor and by anticipating the key role of quantum chemistry therein, our work establishes a framework for systematically exploring, quantifying and dissecting correlation effects in molecules. By utilizing the geometric picture of quantum states we compare—on a unified basis and in an operationally meaningful way—total, quantum and classical correlation and entanglement in molecular ground states. To unlock and maximize the quantum informational resourcefulness of molecules an orbital optimization scheme is developed, leading to a paradigm-shifting insight: a single covalent bond equates to the entanglement . This novel and more versatile perspective on electronic structure suggests a generalization of valence bond theory, overcoming deficiencies of modern chemical bonding theories.

We present our program for the development of quantum informational concepts in relativistic systems in terms of the unequal-time correlation functions of quantum fields. We employ two formalisms that provide the basis for further developments. (i) The Quantum Temporal Probabilities (QTP) Method for quantum field measurements and (ii) the Closed-Time-Path (CTP) formalism for causal time evolutions. We present the main ideas of QTP and we show how it relates to the CTP formalism, allowing us to express concepts of measurement theory in terms of path-integrals. We also present many links of our program to non-equilibrium quantum field theories. Details can be found in a recent paper by the authors [1].

Invariance properties and conservation laws of the nonlinear damped wave equation with power law nonlinearities

\n The origin of tetrapods is a complex question that webs together genetic, \npaleontological, developmental and physical facts. Basically, the \ndevelopment of embryos is described by a complex mix of mechanical movements \nand biochemical inductions of genetic origin. It is difficult to sort out in \nthis scientific question what are the fundamental features imposed by \nconservation laws of physics, and by force equilibria, and what can be \nascribed to successive, very specific, stop-and-go inductions of genetic \nnature. A posteriori, evolution selects the parameters of this process as found in the \nobserved species. Whether there is a general law to animal formation seems \nout of the question. However, several concepts developed in biology, like \nthe concept of “organizer” seem questionable from a physics point of view, \nsince the entire deformation and force field should be the “organizer” of \ndevelopment, and one can hardly ascribe such a role to a single small area \nof the embryo body. In the same spirit, the concept of “positional \ninformation” encapsulated in concentration of chemicals seems questionable \nsince the deformation and force fields in embryonic tissues are tensors. \nFinally, the concept of a development organized in space along three \northogonal (“Cartesian”) axes associated to chemical gradients seems also \nquestionable, since early embryo development is driven by complex vortex \nfields, with hyperbolic trajectories which span the entire embryo. Such \nhyperbolic trajectories are best understood by a description in terms of \ndipolar components of the morphogenetic forces, whose projections along \northogonal axe have no specific meaning except as a mathematical tool. I \nreview here the present state of description of several aspects of tetrapods \nmorphogenesis and evolution, from the point of view of physics. It is \ngetting clear that several basic features of tetrapods body are a direct \nconsequences of fundamental laws of physics. Several lines of work reviewed \nhere show that the topology of the tetrapods may be directly related to the \nstructure of the earliest movements in embryos. The bio-mechanical approach \nleads to important consequences for the constraints on evolution of the \ncraniates. Such consequences have received a controversial welcome in the \nlast decade, although they may encapsulate the true origin of craniates, \nesp. simians, and eventually homo.\n\n \n

This work proposes an approach for latent dynamics learning that exactly enforces physical conservation laws. The method comprises two steps. First, we compute a low-dimensional embedding of the high-dimensional dynamical-system state using deep convolutional autoencoders. This defines a low-dimensional nonlinear manifold on which the state is subsequently enforced to evolve. Second, we define a latent dynamics model that associates with a constrained optimization problem. Specifically, the objective function is defined as the sum of squares of conservation-law violations over control volumes in a finite-volume discretization of the problem; nonlinear equality constraints explicitly enforce conservation over prescribed subdomains of the problem. The resulting dynamics model—which can be considered as a projection-based reduced-order model—ensures that the time-evolution of the latent state exactly satisfies conservation laws over the prescribed subdomains. In contrast to existing methods for latent dynamics learning, this is the only method that both employs a nonlinear embedding and computes dynamics for the latent state that guarantee the satisfaction of prescribed physical properties. Numerical experiments on a benchmark advection problem illustrate the method's ability to significantly reduce the dimensionality while enforcing physical conservation.

Learning a latent-dynamics model for complex real-world physical processes is indispensable. Most previous latent-dynamics modeling approaches suffer from the violation of important physical properties such as conservation.

Quantum error correction (QEC) is one of the central concepts in quantum information science and also has wide applications in fundamental physics. The capacity theorems provide solid foundations of QEC. We here provide a general and highly applicable form of capacity theorem for both classical and quantum information, i.e., hybrid information, with the assistance of a limited resource of entanglement in a one-shot scenario, which covers broader situations than the existing ones. Harnessing the wide applicability of the theorem, we show that a demonstration of QEC by short random quantum circuits is feasible and that QEC is intrinsic in quantum chaotic systems. Our results bridge the progress in quantum information theory, near-future quantum technology, and fundamental physics.

Information is physical: the laws which govern its encoding, processing and communication are those of its unavoidable physical embodyment. In today's computing, information obeys the laws of Newton's and Maxwell's classical physics: this assertion holds all the way from commercial computers down to their most abstract models, e.g. Turing machines and lambda-calculi. Today's computation is classical.Research in quantum information processing and communication (QIPC) was born some twenty years ago, as a child of two major scientific achievements of the 20th century, namely quantum physics and information sciences. The driving force of this interdisciplinary research is that of looking for the consequences of having information encoding, computation and communication obey the laws of quantum physics, i.e. the ultimate knowledge that we have, today, of the foreign world of elementary particles, as described by quantum mechanics. Breakthroughs in algorithmics, cryptography, information theory and abstract computational models have shown that this rerooting of information from classical to quantum has far reaching consequences, both quantitative and qualitative, and opens new avenues for research within the foundations of computer science.The aim of this tutorial is to give a survey of the principles, main results and long term perspectives of current research in QIPC, from a computer science point of view. No prior knowledge in quantum mechanics is required to follow this tutorial. There will be two parts:1 - Computation, the quantum way: quantum bits and quantum operations; two major quantum algorithms: quadratic speedup for unordered database search (Grover's algorithm), exponential speedup for integer factoring (Shor's algorithm);2 - Communication, the quantum way, and longer term perspectives: quantum state teleportation; a quantum cryptographic protocol for secret key distribution. Hot topics in QIPC research, state of the art in physical implementation of quantum computers.

On the adoption of velocity variable and grid system for fluid flow computation in curvilinear coordinates

This paper uses a new decomposition of the fluid velocity in terms of a large-scale continuous component with respect to time and a small-scale non continuous random component. Within this general framework, a stochas-tic representation of the Reynolds transport theorem and Navier-Stokes equations can be derived, based on physical conservation laws. This physically relevant stochas-tic model is applied in the context of the POD-Galerkin method. In both the stochastic Navier-Stokes equation and its reduced model, a possibly time-dependent, inhomoge-neous and anisotropic diffusive subgrid tensor appears naturally and generalizes classical subgrid models. We proposed two ways of estimating its parametrization in the context of POD-Galerkin. This method has shown to be able to successfully reconstruct energetic Chronos for a wake flow at Reynolds 3900, whereas standard POD-Galerkin diverged systematically.

Integrated breakup modeling solutions from debrisat analysis

A simple coolant blowdown model for the evaluation of safety problems in water-cooled reactors with pressure vessels