A Comparison of Three Ways to Measure Time-Dependent Densities With Quantum Simulators

Quantum algorithms are touted as a way around some classically intractable problems such as the simulation of quantum mechanics. At the end of all quantum algorithms is a quantum measurement whereby classical data is extracted and utilized. In fact, many of the modern hybrid-classical approaches are essentially quantum measurements of states with short quantum circuit descriptions. Here, we compare and examine three methods of extracting the time-dependent one-particle probability density from a quantum simulation: direct Z-measurement, Bayesian phase estimation, and harmonic inversion. We have tested these methods in the context of the potential inversion problem of time-dependent density functional theory. Our test results suggest that direct measurement is the preferable method. We also highlight areas where the other two methods may be useful and report on tests using Rigetti's quantum virtual device. This study provides a starting point for imminent applications of quantum computing.

Bio-inertia resonates life into evolution

Life is an environmental signal compromised Le Châteliers system. The potential for it to issue Le Châteliers effect to discernable signals is defined as bio-inertia. To track the origin of such system recovering capability, we composite brachistochrone curves with experiments to prove that a path which can be projecting into three-dimensional simple harmonic motion with internal commutation is an efficient sustaining signal accumulating and transferring system. It is defined as a bio quantum path which composes of the fundamental physical splicing structures of bio-systems. Experiments calibrate gravitational loss as empirical bio-inertia. Surface tension inversion is therefore evidently to be the fundamental gravitational binding and polarization manner in bio-systems. CSF, as the highest gravitational binding system of vertebrates, has also been originated back to the inversion of an earlier phospholipid bilayer based on the ancient somatic physical training. By adapting Chus constant into Planck's law and the born of the Schrödinger Cats babies, the fragile Copenhagen superposition becomes converging superposition that can be modulated by a music frequency notation in enough binding Le Châteliers system. Inside surface tension regions, quantum mechanics recovers its gravitational quiddity by redefining Schrödinger wave function, and binding Einsteins gravitational waves that regenerate bio-functions get an equivalent definition. Wave-particle duality is reinterpreted, and the Principle of Least Action is generalized as the relay or harmonic inversion of the multi-surface tension transferring in bio-systems. From the binding and inversions of gravity on bio quantum paths, life is physically abiogenesis from a whirlpool by surface tension inversions. NKT cell clinical trial based on new definition confirms that ancient spinal training systems are still unsurpassable for precluding of spinal cancerous recurrent factors before modern biotechnologies can establish spinal CSF surface tension interference method in someday.

On inverting gravity changes with the harmonic inversion method: Teide (Tenerife) case study

Here we investigate the applicability of the harmonic inversion method to time-lapse gravity changes observed in volcanic areas. We carry out our study on gravity changes occured over the period of 2004–2005 during the unrest of the Central Volcanic Complex on Tenerife, Canary Islands. The harmonic inversion method is unique in that it calculates the solution of the form of compact homogeneous source bodies via the mediating 3-harmonic function called quasigravitation. The latter is defined in the whole subsurface domain and it is a linear integral transformation of the surface gravity field. At the beginning the seeds of the future source bodies are introduced: these are quasi-spherical bodies located at the extrema of the quasigravitation (calculated from the input gravity data) and their differential densities are free parameters preselected by the interpreter. In the following automatic iterative process the source bodies change their size and shape according to the local values of quasigravitation (calculated in each iterative step from the residual surface gravity field); the process stops when the residual surface gravity field is sufficiently small. In the case of inverting temporal gravity changes, the source bodies represent the volumetric domains of temporal mass-density changes. The focus of the presented work is to investigate the dependence of the size and shape of the found source bodies on their differential densities. We do not aim here (yet) at interpreting the found solutions in terms of volcanic processes associated with intruding or rejuvenating magma and/or migrating volatiles.