Simulating physical phenomena with a quantum computer

Gerardo Ortíz, Emanuel H. Knill, James E. Gubernatis

Colin P. Williams

Georgios Ouilson Papadopoulos, Apostolos Syropoulos

Computers are widely used in physics and other natural sciences to simulate physical phenomena. Thus, people routinely use computers to model many and different physical systems. In addition, computers have been used to solve difficult problems by simulating successful practices employed by living organism. However, it seems not everything can be simulated, that is, there are phenomena that are characterized as non-computable. Most of them can be simulated by quantum computers but for some even these computers are not adequate. The authors examine why this happens, how it can be solved, and whether the “ultimate” goal of simulating the whole universe is feasible.

Anthony Chagneau, Laëticia Nathoo, Jérémy Alloul +1 more

Abstract Physics systems are becoming increasingly complex and require more and more computing time. Quantum computing, which has shown its efficiency on some problems, such as the factorisation of a number with Shor's algorithm, may be the solution to reduce these computation times. Here, the authors propose two quantum numerical schemes for the simulation of physics phenomena, based on the finite difference method. The aim is to see if quantum versions of standard numerical schemes offer an advantage over their classical counterparts, either in accuracy, stability or computation time. First, the authors will present the different phenomena studied as well as the classical solution methods chosen. The authors will then describe the implementation of the quantum numerical schemes and present some results obtained on the different physics phenomena beforehand and then compare both approaches, classical and quantum.

Rüdiger Schack

Jincheng Zhang

This paper presents a novel simulation framework for nonlinear geometry field theory, leveraging quantum computing to achieve high-fidelity simulations of complex physical phenomena. We outline the core mechanism, emphasizing the integration of non-linear geometry field theory with quantum computation to accelerate the simulation process. The paper argues that this approach offers a significant advancement over traditional methods, particularly in handling intricate geometric configurations and enabling high-precision simulations. The development of this framework is driven by the potential of quantum computing to overcome limitations in computational complexity, offering improved accuracy and efficiency for modeling diverse physical systems. The core claim is that this simulation framework can accurately represent and simulate complex geometric phenomena with enhanced precision.