Cancer biomarkers, and novel techniques for detection

Technologies for early detection of tumors is critical for better therapy outcome and overall change in cancer survival. These assays must be capable of detecting tumors at early stages in order to prevent metastasis of the tumor and help reduce mortality. Biological molecules can serve as markers that can indicate the presence of cancerous cells. Current biomarkers approved by the FDA include CA 125, which is a tumor associated antigen (TAA). However, the sensitivities of these TAAs is not high enough to detect at early stages of disease. Recent technologies have found that antibodies that recognize these TAAs, also known as autoantibodies, provide more sensitive means to screen for tumors. This review aims to present recent literature data relative to the field of cancer diagnosis and treatment. However, one should note that this article covers only fraction of the broad science behind this subject

Nested Quantum Annealing Correction

We present a general error-correcting scheme for quantum annealing that allows for the encoding of a logical qubit into an arbitrarily large number of physical qubits. Given any Ising model optimization problem, the encoding replaces each logical qubit by a complete graph of degree $C$, representing the distance of the error-correcting code. A subsequent minor-embedding step then implements the encoding on the underlying hardware graph of the quantum annealer. We demonstrate experimentally that the performance of a D-Wave Two quantum annealing device improves as $C$ grows. We show that the performance improvement can be interpreted as arising from an effective increase in the energy scale of the problem Hamiltonian, or equivalently, an effective reduction in the temperature at which the device operates. The number $C$ thus allows us to control the amount of protection against thermal and control errors, and in particular, to trade qubits for a lower effective temperature that scales as $C^{-\eta}$, with $\eta \leq 2$. This effective temperature reduction is an important step towards scalable quantum annealing.Comment: 19 pages; 12 figure

Quantum Hall States in Graphene from Strain-Induced Nonuniform Magnetic Fields

We examine strain-induced quantized Landau levels in graphene. Specifically, arc-bend strains are found to cause nonuniform pseudomagnetic fields. Using an effective Dirac model which describes the low-energy physics around the nodal points, we show that several of the key qualitative properties of graphene in a strain-induced pseudomagnetic field are different compared to the case of an externally applied physical magnetic field. We discuss how using different strain strengths allows us to spatially separate the two components of the pseudospinor on the different sublattices of graphene. These results are checked against a tight-binding calculation on the graphene honeycomb lattice, which is found to exhibit all the features described. Furthermore, we find that introducing a Hubbard repulsion on the mean-field level induces a measurable polarization difference between the A and the B sublattices, which provides an independent experimental test of the theory presented here.Comment: 9 pages, 8 figures. Updated to version that appears in PR