POSSIBLE USE OF DNAS IN SINGLE MOLECULE FORCE SPECTROSCOPY TO PROBE SINGLE PROTEIN UNFOLDING SIGNATURES

Master'sMASTER OF SCIENC

Protecting unknown two-qubit entangled states by nesting Uhrig's dynamical decoupling sequences

Future quantum technologies rely heavily on good protection of quantum entanglement against environment-induced decoherence. A recent study showed that an extension of Uhrig's dynamical decoupling (UDD) sequence can (in theory) lock an arbitrary but known two-qubit entangled state to the $N$th order using a sequence of $N$ control pulses [Mukhtar et al., Phys. Rev. A 81, 012331 (2010)]. By nesting three layers of explicitly constructed UDD sequences, here we first consider the protection of unknown two-qubit states as superposition of two known basis states, without making assumptions of the system-environment coupling. It is found that the obtained decoherence suppression can be highly sensitive to the ordering of the three UDD layers and can be remarkably effective with the correct ordering. The detailed theoretical results are useful for general understanding of the nature of controlled quantum dynamics under nested UDD. As an extension of our three-layer UDD, it is finally pointed out that a completely unknown two-qubit state can be protected by nesting four layers of UDD sequences. This work indicates that when UDD is applicable (e.g., when environment has a sharp frequency cut-off and when control pulses can be taken as instantaneous pulses), dynamical decoupling using nested UDD sequences is a powerful approach for entanglement protection.Comment: 11 pages, 3 figures, published versio

Universal Dynamical Decoupling: Two-Qubit States and Beyond

Uhrig's dynamical decoupling pulse sequence has emerged as one universal and highly promising approach to decoherence suppression. So far both the theoretical and experimental studies have examined single-qubit decoherence only. This work extends Uhrig's universal dynamical decoupling from one-qubit to two-qubit systems and even to general multi-level quantum systems. In particular, we show that by designing appropriate control Hamiltonians for a two-qubit or a multi-level system, Uhrig's pulse sequence can also preserve a generalized quantum coherence measure to the order of $1+O(T^{N+1})$, with only $N$ pulses. Our results lead to a very useful scheme for efficiently locking two-qubit entangled states. Future important applications of Uhrig's pulse sequence in preserving the quantum coherence of multi-level quantum systems can also be anticipated.Comment: 10 pages, 4 figures, minor changes made, submitted to PR

THE ROLE OF MECHANICS AND COLLECTIVE CELL CONSTRAINTS IN EPITHELIAL CELL DEATH AND EXTRUSION

Ph.DDOCTOR OF PHILOSOPH

Mechanical forces in cell monolayers

International audienc

Biological Tissues as Active Nematic Liquid Crystals

International audienc

Emergent patterns of collective cell migration under tubular confinement

Collective epithelial behaviours are studied in vitro in the context of flat sheets but a system to mimic tubular systems is lacking. Here, the authors develop a method to study collective behaviour in lumenal structures and show that several features depend on the extent of tubular confinement and/or curvature

Material approaches to active tissue mechanics

International audienc

Topological defects in epithelia govern cell death and extrusion

International audienc

Transepithelial potential difference governs epithelial homeostasis by electromechanics

International audienceStudies of electric effects in biological systems, from the work on action potential to studies on limb regeneration or wound healing, commonly focus on transitory behaviour and not on addressing the question of homeostasis. Here we use a microfluidic device to study how the homeostasis of confluent epithelial tissues is modified when a transepithelial potential difference that is different from the natural one is imposed on an epithelial layer. When the field direction matches the natural one, we can restore perfect confluence in an epithelial layer turned defective either by E-cadherin knockout or by weakening the cell-substrate adhesion; additionally, the tissue pushes on the substrate with kilopascal stress, inducing active-cell response such as death and differentiation. When the field is opposite, the tissue pulls with similar strengths, whereas homeostasis is destroyed by the perturbation of junctional actin and cell shapes, increased cell division rate and formation of mounds. Most of these observations can be quantitatively explained by an electrohydrodynamic theory involving local cytoplasmic electro-osmotic flows. We expect this work to motivate further studies on the long-time effects of electromechanical pathways with important tissue engineering applications