Add variational-quantum-eigensolver.ipynb

Originally created in Qiskit/qiskit-ibm-runtime#235

Co-authored-by: ElePT <epenatap@gmail.com>
Co-authored-by: Frank Harkins <frankharkins@hotmail.co.uk>
Co-authored-by: Ikko Hamamura <ikkoham@users.noreply.github.com>
Co-authored-by: Jessie Yu <jessieyu@us.ibm.com>
Co-authored-by: Jim Garrison <garrison@ibm.com>
Co-authored-by: Junye Huang <h.jun.ye@gmail.com>
Co-authored-by: Kevin Tian <kt474@cornell.edu>
Co-authored-by: Paul Nation <nonhermitian@gmail.com>
Co-authored-by: Rathish Cholarajan <rathish.c@ibm.com>
Co-authored-by: Rebecca Dimock <66339736+beckykd@users.noreply.github.com>
Co-authored-by: Sanket Panda <pandasa123@gmail.com>
Co-authored-by: jspark971 <jspark971@gmail.com>
Co-authored-by: kevin-tian <kevin.tian@ibm.com>
Co-authored-by: lerongil <leron_1234@yahoo.com>