Aikaterini Mandilara

Research Interests: Quantum control, Information, Computing and Cryptography

Main Research Outcomes:

• A  proof on the advantages of probabilistic quantum control 
• Nilpotent  technique  for characterizing multipartite entanglement
• An efficient algorithm for analyzing entanglement in mixed multipartite quantum states
•  A novel  representation for describing symmetric states of spin 1/2 systems
•  An extended uncertainty relation  saturated by all number states
• A protocol for performing quantum compiling without the inverses for qubit systems
• A secure quantum optical protocol for performing Bit Commitment 
• A first extension on Hudson’s theorem for mixed quantum state
• A scheme for protecting multi-mode quantum signals from quadratic dispersion
•  Contributing to the identification of a new class on non-Hermitian Hamiltonians with real spectrum

 

Grants:

•  ORAU Grant, 2018-2021, PI, `Dissecting the Collective Dynamics of  Arrays of Superconducting Circuits and Quantum Metamaterials’
• MES Grant, 2016-2017, PI, `Superconducting and Quantum  Metamaterials’

Quantum algorithmic complexity of three-qubit pure states
Lukac, M., Mandilara, A., 2016 Proceedings - 2016 IEEE 46th International Symposium on Multiple-Valued Logic, ISMVL 2016. IEEE Computer Society, 2016-July, p. 253-257

Detection of non-Gaussian entangled states with an improved continuous-variable separability criterion
Hertz, A., Karpov, E., Mandilara, A., Cerf, N., 2016 In : Physical Review A - Atomic, Molecular, and Optical Physics. 93, 3,

Essentially entangled component of multipartite mixed quantum states, its properties, and an efficient algorithm for its extraction
Akulin, V., Kabatiansky, G., Mandilara, A., 2015 In : Physical Review A - Atomic, Molecular, and Optical Physics. 92, 4,

Entanglement classification of pure symmetric states via spin coherent states
Mandilara, A., Coudreau, T., Keller, A., Milman, P., 2014 In : Physical Review A - Atomic, Molecular, and Optical Physics. 90, 5,

Purity- and Gaussianity-bounded uncertainty relations
Mandilara, A., Karpov, E., Cerf, N., 2014 In : Journal of Physics A: Mathematical and Theoretical. 47, 4,

Quantum uncertainty relation saturated by the eigenstates of the harmonic oscillator
Mandilara, A., Cerf, N., 2012 In : Physical Review A - Atomic, Molecular, and Optical Physics. 86, 3,

Quantum bit commitment under Gaussian constraints
Mandilara, A., Cerf, N., 2012 In : Physical Review A - Atomic, Molecular, and Optical Physics. 85, 6,

Entanglement via nilpotent polynomials
Mandilara, A., Akulin, V., 2010 Quantum Dynamics and Information. World Scientific Publishing Co., p. 156-178

Uncertainty, entropy and non-Gaussianity for mixed states
Mandilara, A., Karpov, E., Cerf, N., 2010 Proceedings of SPIE - The International Society for Optical Engineering. 7727,

Gaussianity bounds for quantum mixed states with a positive Wigner function
Mandilara, A., Karpov, E., Cerf, N., 2010 In : Journal of Physics: Conference Series. 254, 1,

Aspects of Entanglement in Quantum Many-Body Systems
Clark, J., Habibian, H., Mandilara, A., Ristig, M., 2010 In : Foundations of Physics. 40, 9, p. 1200-1220

Entanglement properties of quantum many-body wave functions
Clark, J., Mandilara, A., Ristig, M., KÜrten, K., 2009 In : International Journal of Modern Physics B. 23, 20-21, p. 4041-4057

Extending Hudson's theorem to mixed quantum states
Mandilara, A., Karpov, E., Cerf, N., 2009 In : Physical Review A - Atomic, Molecular, and Optical Physics. 79, 6,

Population dynamics in cold gases resulting from the long-range dipole-dipole interaction
Mandilara, A., Akulin, V., Pillet, P., 2009 In : Journal of Physics B: Atomic, Molecular and Optical Physics. 42, 21,

Nilpotent polynomial approach to four-qubit entanglement
Mandilara, A., Viola, L., 2007 In : Journal of Physics B: Atomic, Molecular and Optical Physics. 40, 9,

Entanglement studies in a simple two-electron atomic model
Carlier, F., Mandilara, A., Sarfati, A., 2007 In : Journal of Physics B: Atomic, Molecular and Optical Physics. 40, 9,

Cooperative behaviour of qutrits with dipole-dipole interactions
Mandilara, A., Akulin, V., 2007 In : Journal of Physics B: Atomic, Molecular and Optical Physics. 40, 9,

Control of multiatom entanglement in a cavity
Mandilara, A., Akulin, V., Kolar, M., Kurizki, G., 2007 In : Physical Review A - Atomic, Molecular, and Optical Physics. 75, 2,

Quantum entanglement via nilpotent polynomials
Mandilara, A., Akulin, V., Smilga, A., Viola, L., 2006 In : Physical Review A - Atomic, Molecular, and Optical Physics. 74, 2,

Description of quantum entanglement with nilpotent polynomials: Extensive characterization of entanglement and canonical forms
Mandilara, A., Akulin, V., Smilga, A., Viola, L., 2006 Proceedings of SPIE - The International Society for Optical Engineering. 6264,

Elliptical orbits in the Bloch sphere
Mandilara, A., Clark, J., Byrd, M., 2005 In : Journal of Optics B: Quantum and Semiclassical Optics. 7, 10,

Probabilistic quantum control via indirect measurement
Mandilara, A., Clark, J., 2005 In : Physical Review A - Atomic, Molecular, and Optical Physics. 71, 1,

Generalized PT symmetry and real spectra
Bender, C., Berry, M., Mandilara, A., 2002 In : Journal of Physics A: Mathematical and General. 35, 31,