Instructional Course in Quantum
Computing 27-31 MarchOrganisers: Richard Jozsa
(Bristol), Noah Linden (Bristol), Angus Macintyre (Edinburgh),
Andrew Pitts (Cambridge)
Supported by: The Engineering
and Physical Sciences Research Council (UK Quantum Computing Network)
Quantum computing both offers the potential of immense practical
computing power and also suggests deep links between the well-established
disciplines of quantum theory and information theory and computer science. A
notable feature of the subject is its interdisciplinary nature with
contributions being made by physicists, mathematicians and computer scientists.
The aim of the instructional course was to provide a comprehensive
introduction to current developments in quantum computation/quantum information
theory. It was particularly designed to be accessible to computer scientists as
well as graduate students and post-docs from other relevant disciplines.
There was enormous demand for this meeting from those working in
departments of computing and of mathematics. The total number of participants
exceeded 125. Although the majority of participants were younger researchers or
research students in UK universities, there were also representatives from
Austria, Belgium, Italy, Norway, Spain and the USA.
There were eight
speakers, each of whom delivered a mini-course or two of three
hour-long lectures.
Noah Linden gave an introduction to quantum
mechanics and entanglement, covering: state space; qubits; superposition; the
concept of entanglement; the idea of unitary operations;
measurement/probabilities; the idea of density matrices; measurements on a
subsystem; Bell states, GHZ states; and the idea of local operations and
classical communication.
Richard Jozsa talked on agorithms and
complexity, including: the basic idea of computational complexity; the gate
array model of quantum computation; notions of P,BPP,BQP,NP; the Hadamard gate;
Deutsch algorithms; periodicity and Fourier transform; Shors algorithm;
quantum searching and its relation to NP; and the idea of amplitude
amplification.
Chris Fuchs series was on quantum communication,
including: the setting of the communication problem; background on Shannon
information function; dense coding; general quantum signals (mixed states and
von Neumann entropy); Holevo bound; classical information capacity (idea of
multiple shots/superadditivity); the idea of quantum information transfer; and
the concept of typical subspace and outline of Schumacher compression.
Sandu Popescu talked about quantum information, entanglement manipulations. He
re-iterated the idea of quantum information and went on to cover: no-cloning;
teleportation; quantifying entanglement; entanglement dilution and
concentration in pure states; entanglement purification in mixed states; the
idea of bound entanglement; multi-particle entanglement; and the GHZ example.
David Divencenzos talks addressed physical implementations,
describing the most prominent proposals for physical implementation of quantum
computation and going on to explain the idea of decoherence and discuss
assessment of limitations of proposals.
Andrew Steane talked about
quantum error correction, fault tolerance. He covered: the idea of error
correcting codes; model of errors in quantum states (reduction of general
errors to three basic kinds); the basic role of Hadamard gate; a simple example
of a quantum error correcting code; the basic idea of fault tolerance; and a
statement of the main theorem.
Harry Buhrman addressed the limitations
of quantum computing and quantum communication complexity. He talked about: an
introduction to communication complexity; the polynomial method and how to use
it to prove impossibility results with respect to quantum computing; the
relation between these results and complexity theory; quantum communication
complexity; extension to the quantum setting (exchanging qubits, and/or prior
shared entanglement); and a discussion of basic results comparing classical and
quantum communication complexity.
Hoi-Kwong Lo talked about quantum
cryptography, covering: the idea of key distribution; basic quantum protocols;
a discussion of security; and other cryptographic tasks, for example quantum
money, bit commitment.
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Participants:
Adami, Riccardo, Universita
di Roma La Sapienza Altebaeumer, Thomas, University of
Cambridge Amakawa, Shuhei, University of Cambridge Angelakis, Dimitris,
Imperial College, London Atkinson-Abutridy, John, University of Edinburgh
Ayer, Elizabeth, Cambridge University Bagan, Emili, Universitat
Autonoma de Barcelona Bailey, William, University of London Barnes,
Crispin, University of Cambridge Barrett, Jonathan, University of Cambridge
Barrett, Sean, University of Cambridge Basoalto, Roberto, Queen Mary
& Westfield College Biris, Elias, University of Edinburgh Bowdrey,
Mark, University of Oxford Bub, Jeffrey, University of Maryland
Buhrman, Harry, Center for Math and Comp Science (CWI) Burnett, Ronan,
University of Edinburgh Butterfield, Jeremy, All Souls College Cain,
Paul, Cambridge University Carteret, Hilary, University of York
Chahboune, Toufik, Queen Mary & Westfield College Chefles, Anthony,
University of Hertfordshire Chung, William, Imperial College, London
Cinchetti, Mirko, National University of Ireland Clark, John,
University of York Collins, Daniel, Bristol University DiVincenzo,
David, IBM T J Watson Research Center Dovinos, Dimitri, Cambridge
University Ericsson, Marie, University of Oxford Ferguson, Andrew,
Cambridge University Floratos, Ioannis, University of Durham Foden,
Clare, Toshiba Research Europe Ltd Fuchs, Chris, Los Alamos National
Laboratory Fuentes-Guridi, Ivette, Imperial College Giuntini, Roberto,
University of Cagliari Glasson, Philip, Royal Holloway College Goran,
Bage, Ericsson Radio Systems Gorse, Denise, University College, London
Heckmann, Reinhold, Imperial College Heide, Gerhard, University of East
Anglia Hong, Tianyang, Imperial College Hovland, Tor, National
University of Ireland Hunt, Matthew, Imperial College Iblisdir, Sofyan,
Univ Libre de Bruxelles-EP Ionicioiu, Radu, University of Cambridge
Iorio, Alfredo, Trinity College, Dublin Jackson, Paul, University of
Edinburgh Jensen, Jens G, Royal Holloway College Johnson, Colin G,
University of Kent Johnston, Des, Heriot-Watt University Jozsa,
Richard, University of Bristol Kaestner, Bernd, University of Cambridge
Kendon, Viv, University of Strathclyde Kennedy, Anthony, University of
Edinburgh Kok, Pieter, University of Wales, Bangor Kuhn, Markus,
Unviersity of Cambridge Kurtz, Cornelius, University of East Anglia
Lamas, Antia, Oxford University Lange, Martin, University of Edinburgh
Lavelle, Martin, University of Plymouth Leadbeater, Mark, Toshiba
Research Europe Ltd Linden, Noah, University of Bristol Lo, Hoi Kwong,
MagiQ Technologies, Inc. Lucas, David, Oxford University MacIntyre,
Angus, University of Edinburgh Markopoulou, Fotini, Imperial College
Maroney, Owen, Birkbeck College Massey, Paul, University of York
McMullan, David, University of Plymouth Menni, Matias, University of
Edinburgh Miles, Richard, University of East Anglia Morais,
Jose-Enrique, Universidad Publica de Navarra Moschner, Markus, Technical
University of Vienna Ng, Ranick, University of Cambridge OBoyle,
Michael, University of Edinburgh ODonnell, John, University of
Glasgow Oi, Daniel, University of Oxford Pappas, Alexandros, Imperial
College Parastatidis, Savas, University of Newcastle upon Tyne Parker,
Matthew, University of Bergen, Norway Parker, Stephen, Imperial College
Pati, Arun Kumar, University of Wales Perkins, Tim, University of
Bristol Pitts, Andrew, Cambridge University Popescu, Anca, Cambridge
University Popescu, Sandu, University of Bristol Presnell, Stuart,
University of Warwick Puttock, Sian, University of Leeds Rallan, Luke,
University of Oxford Ramsay, Andrew, University of Cambridge Revez
Omar, Yasser, University of Oxford Rickles, Dean, Sheffield University
Rudloff, Christian, University of East Anglia Rueger, Stefan, Imperial
College Sampath, Prahladavaradan, Imperial College Schuster, Alfons,
University of Ulster Scovell, Robert, University of Bristol Seevinck,
Michael, Oxford University Selsto, Solve, University of Bergen
Severini, Simone, University of Florence Shannon, Nicholas, University
of Warwick Shenker, Orly R., Hebrew Unviersity of Jerusalem Shi, Yu,
University of Cambridge Shields, Andrew, Toshiba Research Europe
Ltd Short, Anthony, University of Oxford Siddharthan, Advaith,
University of Cambridge Simpson, Duncan, University of Southampton Son,
Jung-Bae, University of Edinburgh Sprevak, Daniel, University of Ulster
Steane, Andrew, Oxford University Stewart, Iain, Imperial College
Svandal, Atle, Unviersity of Bergen Tapia, Ramon, Universitat Autonoma
Barcelona Tatai, Gabor, University College London Templeton, Joe,
University of Cambridge Thompson, Katie, University of East Anglia
Tregenna, Ben, Imperial College Tzamtzis, George, Unviersity of Durham
van Rijsbergen, Keith, University of Glasgow Virmani, Shashank,
Imperial College Walters, Mark, University of Cambridge Wehr, Martin,
University of Edinburgh Whitaker, Andrew, Queens University, Belfast
Whittaker, David, Toshiba Research Europe Ltd Whitty, Robin, South Bank
University Williams, David, Hitachi Cambridge Laboratory Wills,
Sebastian, University of Cambridge Zuliani, Paolo, Oxford University
Computing Laboratory
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