Nonlinear electronic entanglement witness based on current cross correlations
(2017) FYSM60 20171Department 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 entanglerdetector 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 entanglerdetector 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)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/studentpapers/record/8914034
 author
 Vermeulen, Samuel Luc M ^{LU}
 supervisor

 Peter Samuelsson ^{LU}
 Fredrik Brange ^{LU}
 organization
 course
 FYSM60 20171
 year
 2017
 type
 H2  Master's Degree (Two Years)
 subject
 keywords
 physics, quantum information, entanglement, entanglement witness
 language
 English
 id
 8914034
 date added to LUP
 20170613 08:42:48
 date last changed
 20180701 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 entanglerdetector 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 = {Nonlinear electronic entanglement witness based on current cross correlations}, year = {2017}, }