Beyond conventional quantum mechanics

C. Piron

Alexander Soiguine

The Geometric Algebra formalism opens the door to developing a theory upgrading conventional quantum mechanics. Generalizations, stemming from implementation of complex numbers as geometrically feasible objects in three dimensions; unambiguous definition of states, observables, measurements bring into reality clear explanations of conventional weird quantum mechanical features, particularly the results of double split experiments where particles create diffraction patterns inherent to wave diffraction. This weirdness of the double split experiment is milestone of all further difficulties in interpretation of quantum mechanics.

Keisuke Fujii

One hundred years after the birth of quantum mechanics, quantum computers, which harness the mysterious properties of quantum mechanics for information processing, are becoming a reality. Although many challenges remain, quantum computers are steadily evolving, and it is expected that in the near future, they will solve problems beyond the reach of conventional (classica) computers. In this comprehensive report, we present the trajectory from the birth of quantum mechanics to the rise of quantum information science, the development of quantum computers, and the outlook for the future, including both domestic and international trends.

Yakir Aharonov

Muhammad Jauhar Kholili, Siska A. Rifianti, Eny Latifah +1 more

Abstract We investigate Monte Carlo simulations within the epistemically-restricted phase-space (ERPS) representation of quantum mechanics for harmonic and anharmonic oscillators. Compared to the variational Monte Carlo (VMC) simulations in the conventional representation, the calculation time in the ER phase-space representation is quite competitive. We also numerically show that the distribution function of the global random variable on the order of Planck’s constant in the ER phase-space representation does not significantly affect the energy accuracy, yet a particular choice of the distribution function may give a better calculation time. This work gives an alternative approach to the Monte Carlo simulations beyond those in the conventional representation of quantum mechanics.

J. E. Cunningham