Construction of Quantum Target Space from World-Sheet States using Quantum State Tomography

TL;DR

This paper develops a method to derive quantum states of target space coordinates from world-sheet states in string theory using quantum state tomography, linking quantum and classical descriptions via coherent states.

Contribution

It introduces a novel approach to construct quantum target space states from world-sheet states using quadrature operators and string displacement operators.

Findings

Successful construction of quantum target space quadrature operators

Connection established between quantum states and classical geometry

Novel use of string displacement operators for coherent state construction

Abstract

In this paper, we will construct the quantum states of target space coordinates from world-sheet states, using quantum state tomography. To perform quantum state tomography of an open string, we will construct suitable quadrature operators. We do this by first defining the quadrature operators in world-sheet, and then using them to construct the quantum target space quadrature operators for an open string. We will connect the quantum target space to classical geometry using coherent string states. We will be using a novel construction based on a string displacement operator to construct these coherent states. The coherent states of the world-sheet will also be used to construct the coherent states in target space.