Quantum control engineering: mathematical principles and applications

Programme theme

We are currently entering a new technological era in which we are able to build systems whose performance is limited by quantum physical effects and in which it may be possible to exploit non-classical phenomena in novel ways. To this end, there has been considerable recent interest in engineering quantum systems and at the heart of this is the development of a quantum control theory dedicated to extending classical control to the quantum domain. Examples already utilizing control of one sort or another include quantum electromechanical systems, quantum dots, cooper-pair boxes, superconducting interference devices, ion traps, as well as a large selection of optical devices. It is clear that a mathematical framework is essential for the future development of quantum control as an engineering discipline.

Themes

The aim of the programme is to bring together experimentalists and theoreticians working in quantum engineering to identify the core mathematical issues and challenges ahead. The challenges we wish to focus upon (both from the mathematical and experimental viewpoint) are

Quantum filtering and the application to quantum measurement and metrology
Quantum open-loop schemes
Quantum feedback networks and the design of quantum controllers
Quantum statistics and estimation and the connection with filtering and control
Quantum information processing and its relevance to quantum control and error correction

Activities

The nature of this field is strongly cross-disciplinary and we aim to give introductory seminars in the underpinning concepts of quantum open systems modelling, and mathematical control theory. We plan to hold a workshop "Principles and Applications of Control in Quantum Systems 2014" during the programme which will survey the current state of development. We also wish to hold a number of round table discussions focussing on future directions and their exploitation.

Click here to download the programme's final scientific report

Preprints

Title	Year	Programme
Optimal steering of a linear stochastic system to a final probability distribution Authors: Y Chen, Tryphon Georgiou, M Pavon Download PDF	2014	QCE
Quantum control via Wigner measures and Wigner functions Authors: TS Ratiu, OG Smolyanov Download PDF	2014	QCE
Modular quantum memories using passive linear optics and coherent feedback Authors: HI Nurden, John Gough Download PDF	2014	QCE
Efficient quantum filtering for quantum feedback control Authors: Pierre Rouchon, Jason Ralph Download PDF	2014	QCE

Workshops

QCEW01

The principles and applications of control in quantum systems (PRACQSYS 2014)

4 August 2014 to 8 August 2014

Seminars

Monday 21st July 2014
14:00 to 15:00	Introduction to Quantum Stochastic Calculus	Room 2
15:00 to 16:00	The SLH Formalism and Quantum Feedback Networks	Room 2

Tuesday 22nd July 2014
10:00 to 11:00	Introduction to Quantum Channels	Room 2
11:00 to 12:00	Realization of squeezing of single photons and a dynamic squeezing gate	Room 2
14:00 to 15:00	Coherent and Dissipative Qubit-Cavity Dynamics in the Presence of Propagating Squeezed States in Nonlinear Superconducting Networks	Room 1
15:00 to 16:00	Introduction to Quantum Stochastic Processes	Room 1

Wednesday 23rd July 2014
10:00 to 11:00	An Introduction to Quantum Filtering: The alternative history of quantum trajectories	Room 2
11:00 to 12:00	System Identification for Open Quantum Systems	Room 2

Thursday 24th July 2014
10:00 to 11:00	Quantum Filtering and Dynamical Parameter Estimation	Room 2
11:00 to 12:00	Coherent Cavity Networks with Complete Connectivity	Room 2

Friday 25th July 2014
10:00 to 11:00	Spin, Rolling and the Landau-Zener Problem	Room 2
11:00 to 12:00	Diffusive Unravellings of Stochastic Master Equations	Room 2
14:00 to 14:30	Recent progress in circuit QED	Room 2

Monday 28th July 2014
10:00 to 11:00	Approximate Filters and Feedback Control for Quantum States	Room 2
11:00 to 12:00	Open Problems in Noisy Quantum Metrology	Room 2

Tuesday 29th July 2014
10:00 to 11:00	Introduction to Quantum Linear Systems	Room 2
11:00 to 12:00	Recent Theoretical Advances in the Control of Quantum Continuous Variables	Room 2

Wednesday 30th July 2014
10:00 to 11:00	Projection Induces Exponential Complexity in Quantum Control	Room 2
11:00 to 12:00	System Identification for Quantum Linear Systems	Room 2

Thursday 31st July 2014
10:00 to 11:00	Quantum Hardware Description Language	Room 2
11:00 to 12:00	Networks, modules, & non-reciprocity in superconducting microwave systems	Room 2

Friday 1st August 2014
10:00 to 11:00	Dynamically Protected Cat-Qubits with Quantum Superconducting Circuits	Room 2
11:00 to 12:00	Quantum Estimation for Linear Systems	Room 2
14:00 to 15:00	Quantum Trajectories in the Laboratory	Room 2

Monday 4th August 2014
09:00 to 09:50	Registration	No Room Required
09:50 to 10:00	Welcome from Christie Marr (INI Deputy Director)	Room 1
10:30 to 11:10	Quantum control of an optomechanical system with a single photon	Room 1
11:15 to 11:45	Morning Coffee	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
13:30 to 14:10	Optimal Pulse Design in Quantum Control: An Ensemble Control Perspective	Room 1
15:00 to 15:30	Afternoon Tea	No Room Required
17:00 to 18:00	Welcome Wine Reception	No Room Required

Tuesday 5th August 2014
10:30 to 11:10	Taking Control of Superconducting Qubits	Room 1
11:15 to 11:45	Morning Coffee	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
13:30 to 14:10	Non-Markovian and nonlinear quantum input-output response analysis	Room 1
15:00 to 15:30	Afternoon Tea	No Room Required
15:30 to 16:10	Microwaves and phonons in 1D transmission lines: Giant Cross-Kerr effect, QND Photon Detection and Giant Atoms	Room 1

Wednesday 6th August 2014
09:45 to 10:25	Cross-Kerr non-linearities for quantum non-demolition measurement	Room 1
10:30 to 11:10	Quantum control of superconducting circuits	Room 1
11:15 to 11:45	Morning Coffee	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:10 to 14:20	Group Photo	No Room Required
14:20 to 17:00	Wine Reception and Poster Session	No Room Required
14:30 to 16:00	QHDL Tutorial	Room 1
19:30 to 22:00	Conference Dinner at Emmanuel College	No Room Required

Thursday 7th August 2014
10:20 to 10:50	Morning Coffee	Room 1
10:50 to 11:30	Towards large-scale nonlinear photonic circuits	Room 1
12:30 to 13:30	Sandwich lunch at INI	No Room Required
14:15 to 14:45	Quantum Technologies From Science to Innovation	Room 1
16:30 to 17:00	Questions & Open Discussion	Room 1
17:00 to 18:00	Networking & Wine Reception	No Room Required

Friday 8th August 2014
09:45 to 10:25	Filtering noise in quantum systems	Room 1
11:15 to 11:45	Morning Coffee	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required

Monday 11th August 2014
10:00 to 11:00	Schrödinger bridges: classical and quantum evolution	Room 2
11:00 to 12:00	Thermodynamics of trajectories in open quantum systems	Room 2

Tuesday 12th August 2014
11:00 to 12:00	System identification under limited access with minimal pre-knowledge	Room 2
14:00 to 15:00	Quench based approaches to entanglement & gate engineering for QIP	Room 1

Thursday 14th August 2014
10:00 to 11:00	Quantum-enhanced quantum phase tracking and the Stochastic Heisenberg Limit	Room 2
11:00 to 12:00	Connecting quantum channels to measurement and feedback	Room 2

Organisers

John Gough Aalborg Universitet
Madalin Guta University of Nottingham
Matt James Australian National University
Hideo Mabuchi Stanford University
Ian Walmsley University of Oxford

Quantum control engineering: mathematical principles and applications

Programme theme

Preprints

Optimal steering of a linear stochastic system to a final probability distribution

Quantum control via Wigner measures and Wigner functions

Modular quantum memories using passive linear optics and coherent feedback

Efficient quantum filtering for quantum feedback control

Workshops

The principles and applications of control in quantum systems (PRACQSYS 2014)

Seminars

Organisers

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