## the future is quantum analog

currently under peer review and will be posted to arxiv in June 2021

ABSTRACT: Our first whitepaper introduces the new concept of quantum analog computing, developed by infinityQ Technology, to efficiently and effectively carry out computations. To this end, the nature of computation is considered, along with its physical realization by means of analog, digital or quantum devices. Based on those computing paradigms and their benefits, our new approach takes advantage of analogies with atomic quantum systems to build an artificial atom as a basic computational structure, without the need to use actual atoms or molecules (which are extremely sensitive to the external environment) to carry out quantum computations. Those artificial atoms are built by means of analog electronic devices, exploiting certain quantum computing capabilities. The quantum analog device, in turn, is able to tackle a variety of optimization problems, and due to its circuitry and the use of collective analog computing to efficiently explore the space of possible solutions. The paper is structured as follows. First, an exploration of analog computing is presented, followed by a brief introduction to several quantum computing approaches. We then follow with elucidation of the active field of classical-quantum analogies, utilizing classical devices to study a variety of quantum phenomena. Then, the quantum analog approach is described and the results from two benchmark problems are presented.

## quantum mechanics a century later, the dawn of a new formulation

currently under peer review by EIT and will be posted to arxiv in June 2021

ABSTRACT: In this review endeavor, we present the recently suggested signed particle formulation, reviving the Wigner’s formulation of quantum mechanics by looking at it from a new point of view. The new theory describes quantum systems by means of ensembles of Newtonian field-less particles, which have a position, a momentum, and carry a sign. The signed particle formulation is equivalent to the conventional formulations of quantum mechanics and the predictions derived from this theory are exactly the same as those from other more standard approaches (without involving the concept of wave-functions). Important advantages of the signed particle formalism include the ability to simulate complex quantum systems by means of relatively small computational resources. We present the set of postulates, which completely define the formulation and two of the many possible applications of this theory. The applications relate to systems of identical Fermions and the Pauli exclusion principle, as well as the hydrogen atom beyond the Born-Oppenheimer approximation. We conclude with a future outlook.