Supervisors:

• Prof. Terry Rudolph(Imperial College London)
• Dr Jon Barrett (Oxford)

Quantum foundations of measurement-based computation

What features of quantum mechanics enable quantum computers to outperform their classical counterparts? Measurement-based quantum computation is an interesting scheme for quantum computation with a clear seperation between classical and quantum components. It is therefore a sensible starting point to seek answers to this question.

Papers

• Negativity and steering: A stronger Peres conjecture
  Phys. Rev. A 88, 032313, September 2013 (also arXiv:1305.1767, download code)
• Quantum lost property: a possible operational meaning for the Hilbert-Schmidt product
  with Terry Rudolph
  Phys. Rev. A 86, 044301, October 2012 (also arXiv:1208.2550)
• On the reality of the quantum state
  with Jonathan Barrett and Terry Rudolph
  Nature Phys. 8, 476, June 2012 (also arXiv:1111.3328)
• Stabilizer notation for Spekkens' toy theory
  Found. Phys. 42, 688, May 2012 (also arXiv:1103.5037)

Pre-prints

• The Quantum Steering Ellipsoid
  Sania Jevtic, Matthew F. Pusey, David Jennings, Terry Rudolph
  arXiv:1303.4724, March 2013
• Can different quantum state vectors correspond to the same physical state? An experimental test
  Daniel Nigg, Thomas Monz, Philipp Schindler, Esteban A. Martinez, Michael Chwalla, Markus Hennrich, Rainer Blatt, Matthew F. Pusey, Terry Rudolph, Jonathan Barrett
  arXiv:1211.0942, November 2012

Thesis

• A few connections between Quantum Computation and Quantum Non-Locality (PDF)
  MRes thesis, October 2010

Talks

• Negativity and steering: a stronger Peres conjecture
  London Foundations Connection, Imperial College London, May 2013
• On the character of the wavefunction
  Quantum Theory Without Observers III, Bielefeld University, April 2013
• Quantum lost property: A possible operational meaning for the Hilbert-Schmidt product
  APS March Meeting, Baltimore Convention Center, March 2013
• Are quantum states real?
  with Peter Lewis
  International Laser Center, Moscow State University, January 2013
• Quantum lost property
  CQT Talk, National University of Singapore, December 2012
• What's an unknown POVM?
  Quantum Foundations seminar, Perimeter Institute, November 2012
• On the reality of the quantum state
  New Directions in the Foundations of Physics, Mathematical Association of America Carriage House, May 2012
• Comparing two explanations for qubits
  LARSIM / QuPa workshop "Foundational questions of quantum information", Télécom ParisTech, April 2012
• The quantum state cannot be interpreted statistically
  Quantum Computation & Information seminar, Bristol, February 2012
  Quantum Information seminar, University College London, January 2012
  High Energy Physics seminar, Imperial College London, January 2012
  CDT board meeting student talk, Imperial College London, January 2012
  Q+ Hangout, Google+, November 2011
  Philosophy of Physics research seminar, Oxford, November 2011
• Bell inequalities sans computation
  ColLoQuI, Imperial College London, March 2011

Posters

• Visualizing two qubit states: the steering ellipsoid
  Quantum Information Processing 2013, Tsinghua University, January 2013
• Quantum lost property: an operational meaning for the Hilbert-Schmidt product?
  Summer School on Quantum Information, Computing and Control, Aberystwyth, August 2012
• Stabilizer notation for Spekkens' toy theory
  Conceptual Foundations and Foils for Quantum Information Processing, Perimeter Institute, May 2011
• Every Stabilizer Circuit Admits a Local Hidden Variable Model (for computational basis inputs and outputs)
  DTC Summer School, Imperial College London, September 2010