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Quantum State Preparation Representation

Complex scalar relativistic field as a probability amplitude

arXiv
Authors: Yu. M. Poluektov

Year

2026

Paper ID

3770

Status

Preprint

Abstract Read

~2 min

Abstract Words

62

Citations

N/A

Abstract

A relativistic equation for a neutral complex field as a probability amplitude is proposed. The continuity equation for the probability density is obtained. It is shown that there are two types of excitations of this field, which describe particles with positive energy and different dispersion laws. Based on the Lagrangian formalism, conservation laws are obtained. The transition to secondary quantization is considered.

Why This Paper Matters

  • This paper contributes to the Quantum State Preparation & Representation research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • A relativistic equation for a neutral complex field as a probability amplitude is proposed.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.10302 [2] arXiv https://arxiv.org/abs/2601.10302 [3] Publisher https://arxiv.org/abs/2601.10302

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