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University of Southern California

1. Raghunathan, Shesha Shayee K. Topics in modeling, analysis and simulation of near-term quantum physical systems with continuous monitoring.

Degree: PhD, Electrical Engineering, 2010, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/397852/rec/7501

In this work, we study two important problems in the
quantum world: single-photon source and single-spin measurement.;
Single-photon source: We consider a quantum dot that is inside a
cavity operating in a weak coupling regime. We model the system in
the cavity QED setting and use Jayes-Cummings Hamiltonian to
describe the dot-cavity interaction. The decoherence effects that
we consider include spontaneous emission, cavity leakage and
dephasing, along with continuous monitoring of the dot; we describe
the system using a stochastic master equation. There are 2 measure
of 'goodness' for a single-photon state – indistinguishability and
single-photon probability.; 1. Indistinguishability: We propose an
engineering technique using continuous quantum measurement in
conjunction with feed forward to improve indistinguishability of a
single-photon source. The technique involves continuous monitoring
of the state of the emitter, processing the noisy output signal
with a simple linear estimation algorithm, and feed forward to
control a variable delay at the output. In the weak coupling
regime, the information gained by monitoring the state of the
emitter is used to reduce the time uncertainty inherent in photon
emission from the source, which improves the indistinguishability
of the emitted photons.; 2. Single-photon probability: An
engineering technique using continuous quantum measurement in
conjunction with a change detection algorithm is proposed to
improve probability of single photon emission for a quantum-dot
based single-photon source. The technique involves continuous
monitoring of the emitter, integrating the measured signal, and a
simple change detection circuit to decide when to stop pumping. The
idea is to pump just long enough such that the emitter + cavity
system is in a state that can emit at most 1 photon with high
probability. Continuous monitoring provides partial information on
the state of the emitter. This technique is useful when the system
is operating in the weak coupling regime, and the rate of pumping
is smaller than, or comparable to, the emitter-cavity coupling
strength, as can be the case for electrical pumping.; Single-spin
measurement: A promising technique for measuring single electron
spins is magnetic resonance force microscopy (MRFM), in which a
microcantilever with a permanent magnetic tip is resonantly driven
by a single oscillating spin. The most effective experimental
technique is the OScillating Cantilever-driven Adiabatic Reversals
(OSCAR) protocol, in which the signal takes the form of a frequency
shift. If the quality factor of the cantilever is high enough, this
signal will be amplified over time to the point that it can be
detected by optical or other techniques. An important requirement,
however, is that this measurement process occur on a time scale
short compared to any noise which disturbs the orientation of the
measured spin. We describe a model of spin noise for the MRFM
system, and show how this noise is transformed to become
time-dependent in going to the usual rotating…
*Advisors/Committee Members: Brun, Todd A. (Committee Chair), Lidar, Daniel (Committee Member), Haas, Stephan (Committee Member).*

Subjects/Keywords: quantum trajectories; stochastic master equation; single-photon source; magnetic resonance force microscopy; single-spin measurement; indistinguishability; single-photon probability; Gaussian approximation; spin-relaxation; quantum continuous measurements; continuous monitoring

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APA (6^{th} Edition):

Raghunathan, S. S. K. (2010). Topics in modeling, analysis and simulation of near-term quantum physical systems with continuous monitoring. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/397852/rec/7501

Chicago Manual of Style (16^{th} Edition):

Raghunathan, Shesha Shayee K. “Topics in modeling, analysis and simulation of near-term quantum physical systems with continuous monitoring.” 2010. Doctoral Dissertation, University of Southern California. Accessed December 15, 2019. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/397852/rec/7501.

MLA Handbook (7^{th} Edition):

Raghunathan, Shesha Shayee K. “Topics in modeling, analysis and simulation of near-term quantum physical systems with continuous monitoring.” 2010. Web. 15 Dec 2019.

Vancouver:

Raghunathan SSK. Topics in modeling, analysis and simulation of near-term quantum physical systems with continuous monitoring. [Internet] [Doctoral dissertation]. University of Southern California; 2010. [cited 2019 Dec 15]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/397852/rec/7501.

Council of Science Editors:

Raghunathan SSK. Topics in modeling, analysis and simulation of near-term quantum physical systems with continuous monitoring. [Doctoral Dissertation]. University of Southern California; 2010. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/397852/rec/7501