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Biomedical subjects

P W Shor

Publications and source records attributed to P W Shor.

5 recordsLinked to original sources

Remote state preparation.

Quantum teleportation uses prior entanglement and forward classical communication to transmit one instance of an unknown quantum state. Remote state preparation (RSP) has the same goal, but the sender knows classically what state is to be transmitted. We show that the asymptotic classical communication cost of RSP is one bit per qubit--half that of teleportation--and even less when transmitting part of a known entangled state. We explore the tradeoff between entanglement and classical communication required for RSP, and discuss RSP capacities of general quantum channels.

Journal Article↗

Nonadditivity of bipartite distillable entanglement follows from a conjecture on bound entangled Werner states.

Assuming the validity of a conjecture given by DiVincenzo et al. [Phys. Rev. A 61, 062312 (2000)] and by Dür et al. [Phys. Rev. A 61, 062313 (2000)], we show that the distillable entanglement for two bipartite states, each of which individually has zero distillable entanglement, can be nonzero. We show that this also implies that the distillable entanglement is not a convex function. Our example consists of the tensor product of a bound entangled state based on an unextendible product basis with an entangled Werner state which lies in the class of conjectured undistillable states.

Journal Article↗

On the structure of the scaffolding core of bacteriophage T4.

The scaffolding core in bacteriophages is a temporary structure that plays a major role in determining the shape of the protein shell that encapsulates the viral DNA. In the currently accepted structure for the scaffolding core in bacteriophage T4, there is a symmetry mismatch between the protein shell, which has fivefold symmetry, and the scaffolding core, which is believed to consist of six helical chains. The analysis of T4 giant prohead data that was used to determine this structure made an implicit assumption about the manner in which giant proheads flatten during preparation for electron microscopy. Namely, it was assumed that techniques for analysis of Fourier transforms of flattened single-layer cylinders could be applied independently to the shell and the core. This analysis makes the implicit assumption that connections between the core and the shell do not affect the flattening process, and thus are stretched or broken during the flattening process. Reexamination of the experimental data shows that this assumption is likely to be incorrect. A reanalysis shows that the data could be consistent with six, eight, or 10 helical chains, and is a better match for eight or 10 helical chains. Ten helical chains would match the fivefold symmetry of the shell. The 10-helix core model is particularly attractive because it suggests a Vernier mechanism, which is able to explain the process of length determination in giant head mutants of T4. It is possible that the same assumption has been made for structural analysis of other biological systems. If this is the case, any results obtained should also be reexamined.

Bacteriophage T4↗

Local rules simulation of the kinetics of virus capsid self-assembly.

A computer model is described for studying the kinetics of the self-assembly of icosahedral viral capsids. Solution of this problem is crucial to an understanding of the viral life cycle, which currently cannot be adequately addressed through laboratory techniques. The abstract simulation model employed to address this is based on the local rules theory of. Proc. Natl. Acad. Sci. USA. 91:7732-7736). It is shown that the principle of local rules, generalized with a model of kinetics and other extensions, can be used to simulate complicated problems in self-assembly. This approach allows for a computationally tractable molecular dynamics-like simulation of coat protein interactions while retaining many relevant features of capsid self-assembly. Three simple simulation experiments are presented to illustrate the use of this model. These show the dependence of growth and malformation rates on the energetics of binding interactions, the tolerance of errors in binding positions, and the concentration of subunits in the examples. These experiments demonstrate a tradeoff within the model between growth rate and fidelity of assembly for the three parameters. A detailed discussion of the computational model is also provided.

Biophysical Phenomena↗

Local rule-based theory of virus shell assembly.

A local rule-based theory is developed which shows that the self-assembly of icosahedral virus shells may depend on only the lower-level interactions of a protein subunit with its neighbors--i.e., on local rules rather than on larger structural building blocks. The local rule theory provides a framework for understanding the assembly of icosahedral viruses. These include both viruses that fall in the quasiequivalence theory of Caspar and Klug and the polyoma virus structure, which violates quasi-equivalence and has puzzled researchers since it was first observed. Local rules are essentially templates for energetically favorable arrangements. The tolerance margins for these rules are investigated through computer simulations. When these tolerance margins are exceeded in a particular way, the result is a "spiraling" malformation that has been observed in nature.

Bacteriophage P22↗