Research

I’m a postdoctoral scholar in the group of Hideo Mabuchi at Stanford, currently working at the ARL Open Campus in Adelphi, MD. My research broadly addresses the tools, methods, and applications of quantum technology from a theoretical and numerical perspective. Computational tools will need to be involved at every step in the process of designing quantum devices; computer algebra to derive effective descriptions and to perform model reduction, efficient numerical simulation and optimization tools for open quantum system, and software to drive the required protocols and perform error correction. Much of my work has been focused on implementing such tools. Some overarching guiding questions of my research are:

  • To what limit can we exploit quantum features in open systems, i.e., at the interface of quantum and classical devices?
  • Can quantum technology be scaled, building reliable networks of quantum devices?
  • What new applications can quantum technology provide, and what are the protocols that realize these applications?
  • What numerical and analytical tools are required to realize quantum technology?

Previously, I was a PhD student in the group of Christiane Koch, working on optimal control of quantum gates in open quantum systems. I have applied optimal control techniques to quantum information processing tasks with trapped neutral atoms, trapped ions, and superconducting (transmon) qubits.

Optimizing Robust Quantum Gates in Open Quantum Systems
Submitted January 2015 to the Fachbereich Mathematik und Naturwissenschaften, Universität Kassel
A4 | letter | A4 two-sided | letter two-sided | Github ]

Publications

Michael H. Goerz, Felix Motzoi, K. Birgitta Whaley, and Christiane P. Koch.
Charting the circuit QED design landscape using optimal control theory.
arXiv:1606.08825 (2016).
arXiv ]

2015 3

Michael H. Goerz, K. Birgitta Whaley, and Christiane P. Koch.
Hybrid Optimization Schemes for Quantum Control.
EPJ Quantum Tech. 2, 21 (2015).
DOI | arXiv | PDF ]

Paul Watts, Jiří Vala, Matthias M. Müller, Tommaso Calarco, K. Birgitta Whaley, Daniel M. Reich, Michael H. Goerz, and Christiane P. Koch.
Optimizing for an arbitrary perfect entangler: I. Functionals.
Phys. Rev. A 91, 062306 (2015).
DOI | arXiv | PDF ]

Michael H. Goerz, Giulia Gualdi, Daniel M. Reich, Christiane P. Koch, Felix Motzoi, K. Birgitta Whaley, Jiří Vala, Matthias M. Müller, Simone Montangero, and Tommaso Calarco.
Optimizing for an arbitrary perfect entangler. II. Application.
Phys. Rev. A 91, 062307 (2015).
DOI | arXiv | PDF ]

2014 4

Michael H. Goerz, Eli J. Halperin, Jon M. Aytac, Christiane P. Koch, and K. Birgitta Whaley.
Robustness of high-fidelity Rydberg gates with single-site addressability.
Phys. Rev. A 90, 032329 (2014). Editor’s suggestion.
DOI | arXiv | PDF ]

Georg Jäger, Daniel M. Reich, Michael H. Goerz, Christiane P. Koch, and Ulrich Hohenester.
Optimal quantum control of Bose-Einstein condensates in magnetic microtraps: Comparison of GRAPE and Krotov optimization schemes.
Phys. Rev. A 90, 033628 (2014).
DOI | arXiv | PDF ]

Henning A. Fürst, Michael H. Goerz, Ulrich G. Poschinger, Michael Murphy, Simone Montangero, Tommaso Calarco, Ferdinand Schmidt-Kaler, Kilian Singer, and Christiane P. Koch.
Controlling the transport of an ion: Classical and quantum mechanical solutions.
New J. Phys. 16, 075007 (2014). Special issue on coherent control of complex quantum systems.
DOI | arXiv | PDF ]

Michael H. Goerz, Daniel M. Reich, and Christiane P. Koch.
Optimal control theory for a unitary operation under dissipative evolution.
New J. Phys. 16, 055012 (2014). Special issue on coherent control of complex quantum systems.
DOI | arXiv | PDF ]

Michał Tomza, Michael H. Goerz, Monica Musiał, Robert Moszyński, and Christiane P. Koch.
Optimal production of ultracold ground-state molecules: Stabilization employing potentials with ion-pair character and strong spin-orbit coupling.
Phys. Rev. A 86, 043424 (2012).
DOI | arXiv | PDF ]

Michael H. Goerz, Tommaso Calarco, and Christiane P. Koch.
The Quantum Speed Limit of Optimal Controlled Phasegates for Trapped Neutral Atoms.
J. Phys. B 44, 154011 (2011). Special issue on quantum control theory for coherence and information dynamics.
DOI | arXiv | PDF | IOP Labtalk ]

Talks & Conference Contributions

2016 3

September 2016, CECAM Workshop, Berlin, Germany. Invited talk:
Optimal Control for Quantum Networks. [ PDF ]

April 2016, IMA Quantum and Nano Control Workshop, Minneapolis, MN. Poster:
Quantum Networks: Analysis, Simulation, and Applications. [ PDF ]

January 2016, AHPCRC RMB Review, Stanford, CA. Poster:
Building a Software Toolchain for Quantum Networks. [ PDF ]

2015 1

September 2015, Frontiers 2015 Workshop, UMD, College Park, MD. Poster:
Charting the cQED Design Landscape using Optimal Control. [ PDF ]

2014 3

April 2014, QUAINT meeting, Sandbjerg Estate, Denmark. Talk:
Efficient Optimal Control for Robust Quantum Gates in Liouville Space. [ PDF | Youtube ]

March 2014, DPG spring meeting, Berlin, Germany. Talk:
Efficient Optimal Control for a Unitary Operation under Dissipative Evolution. [ PDF ]

March 2014, DPG spring meeting, Berlin, Germany. Poster:
Efficient Optimization of Quantum Gates for Rydberg Atoms and Transmon Qubits under Dissipative Evolution. [ PDF ]

2013 3

July 2013, QIPC "Quantum Information Processing and Communication International Conference", Florence, Italy. Poster:
Efficient Optimization of Quantum Gates in the Presence of Decoherence. [ PDF ]

June 2013, 536th W.E. Heraeus Seminar "Optimal Control of Quantum Systems", Bad Honeff, Germany. Invited talk:
Minimal Set of States for Optimizing Quantum Gates in Open Quantum Systems. [ PDF ]

April 2013, "New Trends in Complex Quantum System Dynamics", Cartagena, Spain. Poster:
Optimal Control of Transmon Qubit Gates in the Presence of Decoherence. [ PDF ]

2012 2

November 2012, 519th WE-Heraeus Seminar "Hybrid Quantum Systems", Bad Honeff, Germany. Poster:
Optimal Control of Transmon Qubit Gates in the Presence of Decoherence. [ PDF ]

February 2012, AQUTE Winterschool on Quantum Information Processing, Obergurgl, Austria. Poster:
Optimal Control of Quantum Gates under Decoherence. [ PDF ]

2011 3

October 2011, Engineering and Control of Quantum Systems Workshop, Dresden, Germany. Poster:
Role of dissipation for optimal control of Rydberg Gates. [ PDF ]

July 2011, SUSSP67 Summer School "Quantum Information and Coherence", Glasgow, UK. Poster:
Optimal Controlled Phasegates for Ultracold Atoms in an Optical Lattice at the Quantum Speed Limit. [ PDF ]

March 2011, DPG Spring Meeting, Dresden, Germany. Talk:
Optimal Controlled Phasegates for Trapped Neutral Atoms at the Quantum Speed Limit. [ PDF ]

2010 3

November 2010, Cambridge Workshop on Algorithms for Quantum Control, Cambridge, UK. Talk:
Comparison of GRAPE/LBFGS and Krotov in a High-Dimensional Hilbert Space. [ PDF ]

November 2010, French-German Laser Colloquium, Berlin, Germany. Poster:
Optimal Controlled Phasegates for Ultracold Atoms in an Optical Lattice at the Quantum Speed Limit. [ PDF ]

June 2010, PRACQSYS 2010, Sønderborg, Denmark. Poster:
Implementation of a Controlled Phasegate for Ultracold Calcium Atoms Using Optimal Control. [ PDF ]

2009 1

March 2009, DPG Spring Meeting, Hamburg, Germany. Poster:
Construction of a Fast Two-Qubit Gate for Ultracold Atoms Using Optimal Control. [ PDF ]

November 10, 2015, ARL Quantum Seminar, Adelphi Laboratory Center, MD, USA. Talk:
Introduction to Circuit QED. [ PDF ]

October 23, 2015, Physical Sciences Seminar, IBM Watson Research Lab, NY, USA. Invited talk:
Charting the circuit QED design landscape using optimal control theory. [ PDF ]

December 11, 2013, Whaley group seminar, UC Berkeley, USA. Invited talk:
Optimal Control Theory for Quantum Gates with Rydberg Atoms and Superconducting Qubits under Dissipative Dynamics. [ PDF ]

May 31, 2011, Theory Colloquium, Uni Kassel, Germany. Talk:
Optimal Controlled Phasegates for Trapped Neutral Atoms at the Quantum Speed Limit. [ PDF ]

May 16, 2011, Koch group seminar, Uni Kassel, Germany. Talk:
Chebychev Propagator for Inhomogeneous Schrödinger Equations. [ PDF ]

June 8, 2010, Koch group seminar, FU Berlin, Germany. Talk:
Introduction to the GRAPE Algorithm. [ PDF ]

January 11, 2010, Koch group seminar, FU Berlin, Germany. Talk:
Implementation of a Calcium Phasegate. [ PDF ]

Optimization of a Controlled Phasegate for Ultracold Calcium Atoms in an Optical Lattice
Submitted April 2010 to the Fachbereich Physik, Freie Universität Berlin
PDF ]