Research interests
My research interests are centred around quantum information processing (QIP). This is a multidisciplinary field which offers great advantage over conventional information processing in terms of efficiency and security, using fundamental properties of quantum mechanical systems. Entanglement has become recognised as an important resource for these advantages. Broadly speaking, my work has been on understanding this resource better. In particular, recently I have been interested in multipartite entanglement, as opposed to simply bipartite entanglement, and what more it has to offer, in both foundational issues and as a resource for QIP and the setting of quantum networks. My research covers various diverse areas including the understanding and study of entanglement (its quantification, relevance to different QIP tasks and condensed matter and the relation between the two), the use of entanglement for novel QIP schemes, and implementation (generation of entanglement, quantum optics realisation of schemes). Due to the broad reach of these topics this is done in collaboration with several physicists and computer scientists.
This research is partly funded by ANR project COCQ, and CNRS-JST project "Quantum Computation: Theory and Feasibility".
Publications
For an up to date list of all my articles, click
here.
[1] Graph States for Quantum Secret Sharing,
Damian Markham and Barry C. Sanders, Phys. Rev. A 78, 042309 (2008)
[2] Quantum state discrimination: a geometric approach,
D. Markham, J. Miszczak, Z. Puchala and K. Zyczkowski, Phys. Rev. A 77, 042111 (2008)
[3] Introduction to Entanglement Theory,
To appear as a chapter in 'Mathematical Aspects of Quantum Computing 2007', World Scientific, Singapore (2008).
[4] How much of one-way quantum computation is just thermodynamics?
J. Anders, M. Hajdušek, D. Markham and V. Vedral, Found. Mod. Phys. 38, 506 (2008).
[5] Survival of Entanglement in Thermal States,
D. Markham, J. Anders, V. Vedral and M. Murao, Euro. Phys. Lett. 81, 40006 (2008).
[6] Entanglement and group symmetries: stabilizer states, symmetric and antisymmetric States,
M. Hayashi, D. Markham, M. Murao, M. Owari and S. Virmani, Phys. Rev. A 77, 012104 (2008).
[7] Local encoding of classical information on quantum states,
Y. Tanaka, D. Markham and M. Murao, J. Mod. Opt., 54, 2259 - 2273 (2007).
[8] Entanglement and local information access for graph states,
D. Markham, A. Miyake and S. Virmani, New J. Phys. 9, 194 (2007).
[9] Bounds on Multipartite Entangled Orthogonal State Discrimination using Local Operations and Classical Communication,
M. Hayashi, D. Markham, M. Murao, M. Owari and S. Virmani, Physical Review Letters 96, 040501 (2006). Pre-print quant-ph/0506170.
[10] Entanglement generation from thermal states via unitary beam splitters,
D. Markham, M. Murao and V. Vedral, Physical Review A 70, 062312 (2003).
[11] Classicality of spin coherent states via entanglement and distinguishability,
D. Markham and V. Vedral, Physical Review A 67, 042113 (2003). [also appeared on APS virtual journal "Virtual Journal of Quantum Information" (May 2003, Vol 3, Issue 5)].
[12] Optimal local discrimination of two multipartite pure states,
S. Virmani, M. Sacchi, M. Plenio and D. Markham, Physics Letters A 288, 62 (2001).
[13] The 1930 August 13 `Brazilian Tunguska' Event
M. E. Bailey, D. Markham, S. Massai and J Scriven, The Observatory, 115, 250-253 (1995).
Selected Talks
Measurement based quantum computing on fractal lattices, Imperial, 2010.
(video can be seen here)
Entanglement symmetry of permutation invariant states, QSC, Heidelberg, 2010.
Multiparite Entanglement in Quantum Information, Leeds, 2007.
Symmetric State Entanglement in the Majorana Representation, APWQIS, Singapore 2007.
Entanglement and local access of information, Erato, Tokyo, 2006.