Simulación clásica de computación cuántica para el cálculo del valor propio de un operador hermítico

Abstract

Clasicaly, the computational time required to calculate the energy of quantum systems escales exponentially with size, however, this calculation can be made in polinomial time using a recursive quantum algorithm termed phase estimation algorithm (PEA). This reduces the number of qubist required to read out a register from twenty to four approximately. The wave function for the molecular system is mapped out into the qubits basis such that the required number of qubits grows linearly with the number of basis functions, and the number of gates needed escales polynomially with the number of qubits. This work shows how the algorithm calculates the eigenvalue of an Hermitic operator, typically the ground state energy of an open quantum system, given the interaction with quantum noise sources. This is developed by modeling the sources of dissipation within the algoritm and realizing quantum error correction by means of Shor�s algorithm