Adaptive quantum control via direct fidelity estimation and indirect model-based parametric process tomography

Robert L. Kosut, Herschel Albert Rabitz, Matthew D. Grace

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The single and two-qubit logic gates which are universal for building a quantum computer are not, as yet, produced "naturally" - error correction and fault tolerant constructions are required, and making these requires control. To meet the requisite stringent performance goals places resource demands both spatially (ancilla qubits for error correction) and temporally (complex well timed control signals). On-line adaptive tuning of initially good controls offers a possible means to significantly reduce these overhead requirements. Two methods are proposed for control tuning: (i) direct estimation of fidelity between the actual system and the desired (unitary) logic gate, and (ii) estimating model parameters via compressive sensing. Both methods are evaluated numerically for a single qubit system with Hamiltonian parameter uncertainty.

Original languageEnglish (US)
Title of host publication2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1247-1252
Number of pages6
ISBN (Print)9781467357173
DOIs
StatePublished - Jan 1 2013
Event52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
Duration: Dec 10 2013Dec 13 2013

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other52nd IEEE Conference on Decision and Control, CDC 2013
CountryItaly
CityFlorence
Period12/10/1312/13/13

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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