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Non-linear electronic entanglement witness based on current cross correlations

Vermeulen, Samuel Luc M LU (2017) FYSM60 20171
Department of Physics
Mathematical Physics
Abstract
Demonstration of entanglements of mobile electrons in solid state conductors using minimal entanglement linear witness from electrical current correlations has been given. However, detection of maximally entangled states and some mixed states is lacking if the witness is based on two cross correlation measurements only. This thesis is trying to detect them with the same number of measurements by investigating nonlinear witnesses which, in principle, should be able to detect more states than a linear witness. This is done theoretically with a generic entangler-detector setup. We found that all entangled states are detectable when considering pure states only but when considering mixed states, there is no improvement compared to a linear... (More)
Demonstration of entanglements of mobile electrons in solid state conductors using minimal entanglement linear witness from electrical current correlations has been given. However, detection of maximally entangled states and some mixed states is lacking if the witness is based on two cross correlation measurements only. This thesis is trying to detect them with the same number of measurements by investigating nonlinear witnesses which, in principle, should be able to detect more states than a linear witness. This is done theoretically with a generic entangler-detector setup. We found that all entangled states are detectable when considering pure states only but when considering mixed states, there is no improvement compared to a linear witness. This was done using the symmetries between the two operators corresponding to each measurement. (Less)
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author
Vermeulen, Samuel Luc M LU
supervisor
organization
course
FYSM60 20171
year
type
H2 - Master's Degree (Two Years)
subject
keywords
physics, quantum information, entanglement, entanglement witness
language
English
id
8914034
date added to LUP
2017-06-13 08:42:48
date last changed
2018-07-01 03:49:29
@misc{8914034,
  abstract     = {Demonstration of entanglements of mobile electrons in solid state conductors using minimal entanglement linear witness from electrical current correlations has been given. However, detection of maximally entangled states and some mixed states is lacking if the witness is based on two cross correlation measurements only. This thesis is trying to detect them with the same number of measurements by investigating nonlinear witnesses which, in principle, should be able to detect more states than a linear witness. This is done theoretically with a generic entangler-detector setup. We found that all entangled states are detectable when considering pure states only but when considering mixed states, there is no improvement compared to a linear witness. This was done using the symmetries between the two operators corresponding to each measurement.},
  author       = {Vermeulen, Samuel Luc M},
  keyword      = {physics,quantum information,entanglement,entanglement witness},
  language     = {eng},
  note         = {Student Paper},
  title        = {Non-linear electronic entanglement witness based on current cross correlations},
  year         = {2017},
}