Watts, Paul and Vala, Jiri and Muller, Matthias M. and Calarco, Tommaso and Whaley, K. Birgitta and Reich, Daniel M. and Goerz, Michael H. and Koch, Christiane P.
(2015)
Optimizing for an arbitrary perfect entangler: I. Functionals.
Physical Review A, 91 (062306).
pp. 1-9.
ISSN 1050-2947
Abstract
Optimal control theory is a powerful tool for improving figures of merit in quantum information tasks. Finding
the solution to any optimal control problem via numerical optimization depends crucially on the choice of the
optimization functional. Here, we derive a functional that targets the full set of two-qubit perfect entanglers, gates
capable of creating a maximally entangled state out of some initial product state. The functional depends on easily
computable local invariants and unequivocally determines whether a gate is a perfect entangler. Optimization
with our functional is most useful if the two-qubit dynamics allows for the implementation of more than one
perfect entangler. We discuss the reachable set of perfect entanglers for a generic Hamiltonian that corresponds
to several quantum information platforms of current interest.
| Item Type: |
Article
|
| Additional Information: |
The definitive version of this article is available at Optimizing for an arbitrary perfect entangler. I. Functionals
Paul Watts, Jiří Vala, Matthias M. Müller, Tommaso Calarco, K. Birgitta Whaley, Daniel M. Reich, Michael H. Goerz, and Christiane P. Koch
Phys. Rev. A 91, 062306 – Published 8 June 2015 DOI: http://dx.doi.org/10.1103/PhysRevA.91.062306 |
| Keywords: |
Optimization; arbitrary perfect entangler; quantum information tasks; |
| Academic Unit: |
Faculty of Science and Engineering > Mathematical Physics |
| Item ID: |
6311 |
| Identification Number: |
https://doi.org/10.1103/PhysRevA.91.062306 |
| Depositing User: |
Dr. Jiri Vala
|
| Date Deposited: |
20 Aug 2015 15:50 |
| Journal or Publication Title: |
Physical Review A |
| Publisher: |
American Physical Society |
| Refereed: |
Yes |
| Funders: |
Science Foundation Ireland (SFI) |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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