Constrained Variational Quantum Eigensolver: Quantum Computer Search Engine in the Fock Space

Stop times in Fock Space Quantum Probability

We review Fock space based quantum probability and in particular the theory of stop times based on it. In the Fock space H = F(L2(R+)), a stop time may be defined as as a positive self-adjoint operator T = ∫ R+ λ dE(λ) whose spectral resolution (E(λ):λ ∈ R+) is adapted to the natural filtration based on the splittings F(L(R)) = F(L([0, λ[)⊗F(L([λ,∞[) Then if K is one of the basic quantum martin...

Quantum Field Theory on Fock Projective Space

It is shown that some analog of the “second quantization” exists in the framework of CP (N) theory. I analyse conditions under that “geometrical bosons” may be identified with real physical fields. The compact character of a state manifold should preserve the quantities of dynamical variables from divergences.

Quantum Computer as a Probabilistic Inference Engine

We propose a new class of quantum computing algorithms which generalize many standard ones. The goal of our algorithms is to estimate probability distributions. Such estimates are useful in, for example, applications of Decision Theory and Artificial Intelligence, where inferences are made based on uncertain knowledge. The class of algorithms that we propose is based on a construction method th...

Quantum Computer as an Inference Engine

We propose a new family of quantum computing algorithms which generalize the Deutsch-Jozsa, Simon and Shor ones. The goal of our algorithms is to estimate conditional probability distributions. Such estimates are useful in applications of Decision Theory and Artificial Intelligence, where inferences are made based on uncertain knowledge. The family of algorithms that we propose is based on a co...

A Fock space representation for the quantum Lorentz gas