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Foundations of quantum computation
This research is led by profs. Daniel Jonathan and Ernesto F. Galvão.
Random circuits for quantum computation
- Pseudo-random ensembles of unitaries and how they converge towards a uniform distribution.
- Characterizing physically the non-local character of two-qubit gates
Recent papers:
Comment on the paper “Random Quantum Circuits are Approximate 2-designs”. Diniz, Jonathan, Comm. Math. Phys.304, 281–293 (2011). Preprint arXiv:1006.4202v1
Alternative models for quantum computation
- Measurement-based quantum computation
- Simulability results for restricted classes of quantum computation
- Experimental implementations of photonic quantum computers
Recent papers:
Experimental validation of photonic boson sampling, Nature Photonics advanced online publication, June 22nd, 2014. DOI: 10.1038/nphoton.2014.135
General rules for bosonic bunching in multimode interferometers, Phys. Rev. Lett. 111, 130503 (2013)
Integrated multimode interferometers with arbitrary designs for photonic boson sampling, Crespi et al., Nature Photonics 7, 545–549 (2013).
Geometries for universal quantum computation with matchgates. Brod, Galvão, Phys. Rev. A 86, 052307 (2012).
Extending matchgates into universal quantum computation. Brod, Galvão, Phys. Rev. A 84, 022310 (2011).
Closed timelike curves in measurement-based quantum computation. Dias da Silva, Galvão, Kashefi ; Phys. Rev. A 83, 012316 (2011).
