We compute rigorously the ground and equilibrium states for Kitaev's model in 2D, both the finite and infinite version, using an analogy with the 1D Ising ferromagnet. Next, we investigate the structure of the reduced dynamics in the presence of thermal baths in the Markovian regime. Special attention is paid to the dynamics of the topological freedoms which have been proposed for storing quantum information
We explore the feasibility of a quantum self-correcting memory based on 3D spin Hamiltonians with to...
A two-dimensional topologically ordered quantum memory is well protected against error if the energy...
The information-carrying capacity of a memory is known to be a thermodynamic resource facilitating t...
Recently, it has become apparent that the thermal stability of topologically ordered systems at fini...
We discuss the existence of stable topological quantum memory at finite temperature. At stake here i...
We examine two proposals for marginally-self-correcting quantum memory: the cubic code by Haah and t...
Topologically ordered quantum phases are robust in the sense that perturbations in the Hamiltonian o...
We prove a no-go theorem for storing quantum information in equilibrium systems. Namely, quantum inf...
We compute the topological entropy of the toric code models in arbitrary dimension at finite tempera...
This thesis addresses whether it is possible to build a robust memory device for quantum information...
Statistical mechanics characterizes systems in or near equilibrium using in terms of a handful of "s...
We show that the Davies generator associated to any 2D Kitaev’s quantum double model has a non-vanis...
To use quantum systems for technological applications we first need to preserve their coherence for ...
Thesis (Ph.D.)--University of Washington, 2015This thesis presents a model of self-correcting quantu...
We study information storage in noisy quantum registers and computers using the methods of statistic...
We explore the feasibility of a quantum self-correcting memory based on 3D spin Hamiltonians with to...
A two-dimensional topologically ordered quantum memory is well protected against error if the energy...
The information-carrying capacity of a memory is known to be a thermodynamic resource facilitating t...
Recently, it has become apparent that the thermal stability of topologically ordered systems at fini...
We discuss the existence of stable topological quantum memory at finite temperature. At stake here i...
We examine two proposals for marginally-self-correcting quantum memory: the cubic code by Haah and t...
Topologically ordered quantum phases are robust in the sense that perturbations in the Hamiltonian o...
We prove a no-go theorem for storing quantum information in equilibrium systems. Namely, quantum inf...
We compute the topological entropy of the toric code models in arbitrary dimension at finite tempera...
This thesis addresses whether it is possible to build a robust memory device for quantum information...
Statistical mechanics characterizes systems in or near equilibrium using in terms of a handful of "s...
We show that the Davies generator associated to any 2D Kitaev’s quantum double model has a non-vanis...
To use quantum systems for technological applications we first need to preserve their coherence for ...
Thesis (Ph.D.)--University of Washington, 2015This thesis presents a model of self-correcting quantu...
We study information storage in noisy quantum registers and computers using the methods of statistic...
We explore the feasibility of a quantum self-correcting memory based on 3D spin Hamiltonians with to...
A two-dimensional topologically ordered quantum memory is well protected against error if the energy...
The information-carrying capacity of a memory is known to be a thermodynamic resource facilitating t...