Quantum Error Correction: Decoders for the Toric Code

Quantum error correction is needed for future quantum computers. Classical error correcting codes are not suitable for this due to the nature of quantum mechanics. Therefore, new codes need to be developed. A promising candidate is the toric code, a surface code, because of its locality and its high error correcting capability and thresholds ...

A review of optimal cloning of pure quantum states

In this project, quantum cloning machines are analyzed that take in N quantum systems in the same unknown pure state and output M quantum systems with M > N, such that the output best resembles the ideal, but impossible output of an M-fold tensor product of the pure input state. The proof of Keyl and Werner is reviewed in which a unique...

Computing the Ground-State Energy of the Ising Model in a Transverse Field with Matrix Product States

Report about how Matrix Product States can be used to analyze a sub set of problems in quantum mechanics. A exact derivation is given of the Ising Model in a Transverse field and with these solutions the TEBD algorithm using Matrix Product states is validated.

Parameter Estimation of the Hamiltonian of the Nitrogen-Vacancy Center in Diamond

The Hamiltonian of the NV center contains unknown parameters, such as the zero-field splitting and the magnetic field. Knowing how the frequency measurements depend on the parameters will give greater understanding<br/>of the NV center. Including the nitrogen nuclear spin gives us the opportunity to find more parameters such as the quadrupole...

The Brachistochrone Problem: From Euler to Quantum

In this thesis I take a look at various aspects of the brachistochrone problem. In the first half I consider the classical brachistochrone problem, without friction, after which I generalize to also consider drag; friction proportional to the squared speed. I do this numerically, with the shooting method, and following some papers, which Euler...