Ancilla Assisted Quantum Information Processing: General protocols and NMR implementations

4.2 MB·

by  Abhishek Shukla

Ancilla Assisted Quantum Information Processing:
General protocols and NMR implementations
Athesis
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INDIANINSTITUTEOFSCIENCEEDUCATIONANDRESEARCH,PUNE
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December,2015

Dedicated to my parents
—[ii]—

Declaration
Ideclarethatthiswrittensubmissionrepresentsmyideasinmyownwordsandwhereoth-
ers’ideashavebeenincluded,Ihaveadequatelycitedandreferencedtheoriginalsources.
I also declare that I have adhered to all principles of academic honesty and integrity and
havenotmisrepresentedorfabricatedorfalsifiedanyidea/data/fact/sourceinmysubmis-
sion. I understand that violation of the above will be cause for disciplinary action by the
Instituteandcanalsoevokepenalactionfromthesourceswhichhavethusnotbeenprop-
erlycitedorfromwhomproperpermissionhasnotbeentakenwhenneeded.
Date: AbhishekShukla
RollNo.-20093040
—[iv]—

Certificate
Certified that the work incorporated in the thesis entitled "Ancilla Assisted quantum In-
formation Processing: General protocols and NMR implementations", submitted by Ab-
hishekShuklawascarriedoutbythecandidate,undermysupervision. Theworkpresented
here or any part of it has not been included in any other thesis submitted previously for
theawardofanydegreeordiplomafromanyotherUniversityorinstitution.
Dr. T.S.Mahesh
Date:
(Supervisor)
—[vi]—

Acknowledgement
I must admit that this thesis would have not been possible without the help and sup-
port of many persons whom I met while pursuing PhD at IISER Pune. I have been very
privilegedtohavesomanywonderfulfriendsandcollaborators.
First of all, I thank to my research supervisor Dr. T. S. Mahesh for his guidance
and encouragement. I am grateful to him for teaching me nuts and bolts of Quantum
InformationProcessingandNMR.Hisdeepunderstandingaboutthesubjectandgenerous
behaviour played the key role behind my research. I consider myself fortunate to have a
supervisorlikehim. Ipaymygratitudetohimforhissupportandaffection.
I am thankful to Prof. Anil Kumar for various insightful discussions and his concern
about my research. His immense knowledge of the field and positive attitude has always
been a source of inspiration for me. I thank Prof. A. K. Rajagopal, Prof. Ushadevi,
and H. S. Karthik for our collaborative work on moment inversion, which enhanced my
curiosity for foundational issues in quantum physics. It was nice to work with Hemant
and Manvendra as collaborator. I learned some good things from them. I also thanks to
myothercollaboratorsSharadandGaurav.
I thank my RAC members- Dr. Arijit Bhattacharyay, Dr. T. G. Ajitkumar, and Dr. K.
Gopalakrishnan for their support through their comments and suggestions during annual
evaluation of progress in my research. I also thank Dr. R. G. Bhat, Dr. V. G. Anand,
and Dr. H. N. Gopi, for their help and affection. I am thankful to our Director Prof. K.
N. Ganesh for providing all the necessary experimental facilities in the lab. I would like
to thank IISER-Pune for the graduate scholarships that I received during my PhD. I also
acknowledge administrative staff, security service people, and housekeeping persons of
IISER-Pune. My academic life may have not taken shape in this way without my M.Sc.
teacher Dr. Aanand Kumar. I am thankful to him for inciting my interest in Quantum
Physics and also for his moral support. The list is incomplete without thanking my all
otherteachers.
—[viii]—
I thank all the members of NMR Research Center -past and present- with whom I
have worked. It was a pleasure working with my senior Soumya, his always positive
attitude was really amazing. I can’t forget relay of arguments between me and Swathi on
various topics. I also thank her for giving me company at tea time for number of times
in Innovation park canteen. It was really nice to work with Hemant and Koteswar (Sir
Ji), Hemant’s great attention for his work was always admirable. It was nice to listen
KoteswarforbasicsofNMR.Apersonisalwaysenjoysbenefitifhehassuchaperfection
lovingfriend. OptimizingthediffusionparameterswithManvendrawasreallyenjoyable.
I thank Pooja didi for teaching me how to operate NMR spectrometers. It was wonderful
time in NMR lab at Innovation park with all group members. I enjoyed discussions with
Ravi Shanker, Bhargava, Nitesh, Sudheer, along with the most young members Deepali,
Deepak, Anjusha, and other project students. At last, I would like to pay a special thank
toSachinKateforhiseasyavailabilityandhelponspectrometerissues.
Outside the lab, the life was enjoyable because of many friends and I thank all of
them. First of all I thank all my friends in Physics department, especially friends from
2008 batch for their support and company. Anyone will feel lucky to have friends like
them, I will always remember Mayur for his unconditional helps to everyone, Arun for
his keen analysis, and Murthy for trying to tease me with his famous ’because of you’
sentence. I always enjoyed Arthur’s ’wo kya’ approach. Resmi’s keen observation and
Kanika’s optimistic behavior was always inspiring. I thank Vimal and Kajari for giving
me company while studying in their offices. I thank all my friends in Chemistry depart-
ment for providing me chemicals. It was awesome to roam, to fight, and to laugh with
unforgettable friends Sumit and Abhigyan. I would like to thank to Ramya and Padma
to tighten the knot as my sisters. At last I thanks my M.Sc. friends along with my long
time friends Praveen, Manu, Rajesh, Neeraj, Anil, Vivek, Sarvesh, and Suchita for their
support.
My research career would have not been possible without the great support of my
family. I thank my mother, father, and sister for their love, support and encouragement. I
alsoliketothankmycousinsistersandbrothersforreplacingmyunavailabilitytosupport
my parents in odd times. I found myself lucky to have a friend like Rajeev, I thank him
—[ix]—