A new antiviral hypothesis and radioactive iodine therapy to other cancers, such as breast cancer, lung cancer, and glioblastoma multiforme (GBM)?

Radioactive iodine therapy (RIT) is an effective, safe, and cheap method in benign and malignant thyroid diseases. There is still an unresolved question of whether RIT treatment also plays a role in the treatment of, for example, breast cancer, lung cancer, or glioblastoma multiforme (GBM). These studies are currently being carried out in rats in combination with genes, but it may be an interesting challenge to assess "pure" RIT alone, thanks to the expression of sodium iodide symporter (NIS), is effective in other organ nodules, both benign and malignant. Cloning of the NIS in 1996 provided an opportunity to use NIS as a powerful theranostic transgene. In addition, NIS is a sensitive reporter gene that can be monitored by high-resolution PET imaging using the radiolabels [¹²4I]sodium iodide ([¹²4I]NaI) or [18F] tetrafluoroborate ([¹8F]TFB). Based on published positron emission tomography (PET) results, [¹²4I]sodium iodide and internally synthesized [18F]TFB were compared in an orthotopic animal model of NIS-expressing glioblastoma. The results showed improved image quality using [¹8F]TFB. Based on these results, we will be able to extend the NIS gene therapy approach using non-viral gene delivery vehicles to target orthotopic tumour models with low-volume disease such as GBM. Is it possible to treat RIT alone without using the NIS gene in GBM? After all, the NIS symporter was detected not only in the thyroid gland, but also in different tumours. The administration of RIT is completely harmless; the only complication is hypothyroidism. Indeed, recently it has been shown that, for example, in the case of thyroid cancer, the maximum RIT is 37000 MBq (1000 mCi). When beneficial effects of therapy in GBM are not possible (e.g. neurosurgery, modulated electro-hyperthermia, chemotherapy, immunotherapy, cancer vaccines, or oncolytic viruses), could RIT provide a "revolution" using NIS?

Quantum Computation as Gravity.

We formulate Nielsen's geometric approach to circuit complexity in the context of two-dimensional conformal field theories, where series of conformal transformations are interpreted as "unitary circuits" built from energy-momentum tensor gates. We show that the complexity functional in this setup can be written as the Polyakov action of two-dimensional gravity or, equivalently, as the geometric action on the coadjoint orbits of the Virasoro group. This way, we argue that gravity sets the rules for optimal quantum computation in conformal field theories.

Holographic Entanglement of Purification from Conformal Field Theories.

We explore a conformal field theoretic interpretation of the holographic entanglement of purification, which is defined as the minimal area of the entanglement wedge cross section. We argue that, in AdS_{3}/CFT_{2}, the holographic entanglement of purification agrees with the entanglement entropy for a purified state, obtained from a special Weyl transformation, called path-integral optimizations. By definition, this special purified state has minimal path-integral complexity. We confirm this claim in several examples.

Complexity as a Novel Probe of Quantum Quenches: Universal Scalings and Purifications.

We apply the recently developed notion of complexity for field theory to a quantum quench through a critical point in 1+1 dimensions. We begin with a toy model consisting of a quantum harmonic oscillator, and show that complexity exhibits universal scalings in both the slow and fast quench regimes. We then generalize our results to a one-dimensional harmonic chain, and show that preservation of these scaling behaviors in free field theory depends on the choice of norm. Applying our setup to the case of two oscillators, we quantify the complexity of purification associated with a subregion, and demonstrate that complexity is capable of probing features to which the entanglement entropy is insensitive. We find that the complexity of subregions is subadditive, and comment on potential implications for holography.

Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories.

We introduce a new optimization procedure for Euclidean path integrals, which compute wave functionals in conformal field theories (CFTs). We optimize the background metric in the space on which the path integration is performed. Equivalently, this is interpreted as a position-dependent UV cutoff. For two-dimensional CFT vacua, we find the optimized metric is given by that of a hyperbolic space, and we interpret this as a continuous limit of the conjectured relation between tensor networks and Anti-de Sitter (AdS)/conformal field theory (CFT) correspondence. We confirm our procedure for excited states, the thermofield double state, the Sachdev-Ye-Kitaev model, and discuss its extension to higher-dimensional CFTs. We also show that when applied to reduced density matrices, it reproduces entanglement wedges and holographic entanglement entropy. We suggest that our optimization prescription is analogous to the estimation of computational complexity.