Fischer, Jan. Spin decoherence of electrons and holes in semiconductor quantum dots. 2010, PhD Thesis, University of Basel, Faculty of Science.

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Abstract
The computer industry has seen an immense development in the last decades.
Personal computers have become available for everybody living in industrialized
countries with rapidly increasing performance in terms of speed and storage capacities.
However, the performance of nowadays' computers is fundamentally limited by the
laws of classical physics: a classical bit can only take on either of the two distinct
values `0' or `1'.
In contrast, a quantum computer could, in principle, make direct use
of quantum phenomena, such as state superpositions
 a quantum bit can be in both states `0' and `1' simultaneously ,
to perform complex computational tasks much faster than any classical computer.
The idea of building computers that work according to the laws of quantum physics
has opened various fields of research, one of which is the search for the best
physical system to use as a quantum bit (qubit). One important criterion for determining
the optimal qubit system is the lifetime of state superpositions.
Typically, once initialized, such superpositions are destroyed on remarkably short
timescales due to interactions with the environment  a process which is referred to
as decoherence , posing the question which physical qubit candidate system might show a highenough robustness against the
influence of the `outside world' to allow for viable quantum computation.
In this thesis, we will consider three particular realizations of one specific and
very promising type of qubit candidate system:
an electron (or hole) confined to a quantum dot  a nanoscale structure
within a (typically semiconducting) material , where the spin states `down'
and `up' of our electron (or hole) encode the logical states `0' and `1'.
Our task will be to study the decay of spinstate superpositions in such quantumdot
systems. The main objective of this thesis is to understand the most important physical
processes that lead to spin decoherence and to show ways to suppress this undesirable effect.
It turns out that at low temperatures, the main source of decoherence
is the coupling of the electron (hole) to the surrounding nuclear spins.
This thesis is divided into three logical parts, corresponding to the three qubit candidate
systems under consideration. First we will study electronspin qubits in IIIV semiconductor
quantum dots, where the electron spin interacts with the nuclear spins of the semiconducting
host material
via the isotropic Fermi contact hyperfine interaction. Second we consider quantumdotconfined
heavy holes and the decoherence of their (pseudo)spin states due to anisotropic interactions with the
nuclear spins. Third and last, we study electronspin qubits made from carbonnanotube and
graphene quantum dots. Quantum dots made of carbon have the advantage of a low abundance
of spincarrying nuclear isotopes, therefore reducing decoherence effects significantly.
For each of the systems under consideration, we will carry out analytical calculations on
the nuclearspin interactions and the spin dynamics of the qubit. Although one main goal of
this thesis is to show ways to extend spin decoherence times, we will also focus on physically more
fundamental questions. Not only the timescale of the decay is relevant for
the system's applicability as a qubit, but also the form of the decay which can vary
significantly from system to system. For example, the decay of spinstate superpositions
can follow an exponential, superexponential or powerlaw decay, and can even pass through
various stages. This is not only of academic interest, but also important for practical
purposes, such as the implementation of quantum errorcorrection schemes in a potential
quantum computer.
Personal computers have become available for everybody living in industrialized
countries with rapidly increasing performance in terms of speed and storage capacities.
However, the performance of nowadays' computers is fundamentally limited by the
laws of classical physics: a classical bit can only take on either of the two distinct
values `0' or `1'.
In contrast, a quantum computer could, in principle, make direct use
of quantum phenomena, such as state superpositions
 a quantum bit can be in both states `0' and `1' simultaneously ,
to perform complex computational tasks much faster than any classical computer.
The idea of building computers that work according to the laws of quantum physics
has opened various fields of research, one of which is the search for the best
physical system to use as a quantum bit (qubit). One important criterion for determining
the optimal qubit system is the lifetime of state superpositions.
Typically, once initialized, such superpositions are destroyed on remarkably short
timescales due to interactions with the environment  a process which is referred to
as decoherence , posing the question which physical qubit candidate system might show a highenough robustness against the
influence of the `outside world' to allow for viable quantum computation.
In this thesis, we will consider three particular realizations of one specific and
very promising type of qubit candidate system:
an electron (or hole) confined to a quantum dot  a nanoscale structure
within a (typically semiconducting) material , where the spin states `down'
and `up' of our electron (or hole) encode the logical states `0' and `1'.
Our task will be to study the decay of spinstate superpositions in such quantumdot
systems. The main objective of this thesis is to understand the most important physical
processes that lead to spin decoherence and to show ways to suppress this undesirable effect.
It turns out that at low temperatures, the main source of decoherence
is the coupling of the electron (hole) to the surrounding nuclear spins.
This thesis is divided into three logical parts, corresponding to the three qubit candidate
systems under consideration. First we will study electronspin qubits in IIIV semiconductor
quantum dots, where the electron spin interacts with the nuclear spins of the semiconducting
host material
via the isotropic Fermi contact hyperfine interaction. Second we consider quantumdotconfined
heavy holes and the decoherence of their (pseudo)spin states due to anisotropic interactions with the
nuclear spins. Third and last, we study electronspin qubits made from carbonnanotube and
graphene quantum dots. Quantum dots made of carbon have the advantage of a low abundance
of spincarrying nuclear isotopes, therefore reducing decoherence effects significantly.
For each of the systems under consideration, we will carry out analytical calculations on
the nuclearspin interactions and the spin dynamics of the qubit. Although one main goal of
this thesis is to show ways to extend spin decoherence times, we will also focus on physically more
fundamental questions. Not only the timescale of the decay is relevant for
the system's applicability as a qubit, but also the form of the decay which can vary
significantly from system to system. For example, the decay of spinstate superpositions
can follow an exponential, superexponential or powerlaw decay, and can even pass through
various stages. This is not only of academic interest, but also important for practical
purposes, such as the implementation of quantum errorcorrection schemes in a potential
quantum computer.
Advisors:  Loss, Daniel 

Committee Members:  SchÃ¶ller, Herbert 
Faculties and Departments:  05 Faculty of Science > Departement Physik > Physik > Theoretische Physik Mesoscopics (Loss) 
UniBasel Contributors:  Loss, Daniel 
Item Type:  Thesis 
Thesis Subtype:  Doctoral Thesis 
Thesis no:  9225 
Thesis status:  Complete 
Bibsysno:  Link to catalogue 
Number of Pages:  110 S. 
Language:  English 
Identification Number: 

Last Modified:  22 Jan 2018 15:51 
Deposited On:  17 Nov 2010 14:28 
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