This paper explores two circuit approaches for quantum walks: The first consists of generalized controlled inversions, whereas the second one effectively replaces them with rotation operations around the basis states. We show the theoretical foundation of the rotational implementation. The rotational approach nullifies the large amount of ancilla qubits required to carry out the computation when using the inverter implementation. Our results concentrate around the comparison of the two architectures in terms of structure, benefits, and detriments, as well as the computational resources needed for each approach. We show that the inverter approach requires exponentially fewer gates than the rotations but almost half the number of qubits in the system. Finally, we execute a number of experiments using an IBM quantum computer. The experiments show the effects of noise in our circuits. Small two-qubit quantum walks evolve closer to our expectations, whereas for a larger number of steps or state space the evolution is severely affected by noise.
Medullary thyroid carcinoma (MTC) is a rare malignancy that may metastasize to liver, lungs and bones. Breast is an unusual metastatic site for MTC and only 20 female cases have been reported in the literature. We present a male patient in whom histological examination and immunohistochemistry of a breast mass were indicative of breast metastasis from MTC. A 67-year-old man with recent diagnosis of MTC and metastases to cervical and upper mediastinum lymph nodes was referred to our department for further treatment. At first evaluation, diagnostic imaging techniques showed lung and bone metastases and three months later the presence of liver metastases. Due to the extension of the disease, treatment with vandetanib was decided, but serious adverse events led to its interruption after two weeks. During follow-up, patient developed a painful swelling in the right breast. Ultrasound and mammography showed the presence of multiple masses to the right breast suspicious for malignancy. Core needle biopsy and histological examination of the specimen confirmed the presence of metastatic MTC. Palliative external beam irradiation was used to relieve local pain and, after one month, the patient died. Consequently, breast masses should be cautiously evaluated, mainly in the presence of a known primary malignancy. Histological and/or cytopathological examination are requisite diagnostic tools, while external beam irradiation and tyrosine kinase inhibitors may be used as palliative therapies in the concurrent presence of breast metastases from MTC.
ObjectiveThe aim of the present study was to assess patient compliance with tyrosine kinase inhibitor (TKI) treatment used for refractory and progressive thyroid cancer, in addition to the efficacy and serious adverse events associated with these agents.MethodsWe retrospectively analyzed data from adult patients with metastatic differentiated or medullary thyroid cancer unresponsive to conventional treatment and treated with TKIs. Patients received treatment until disease progression or onset of serious adverse events, or until they expressed an intention to stop treatment.ResultsTwenty-four patients received TKIs. The median duration of treatment was four (range: 1–19) cycles. The most frequent adverse events were fatigue, nausea, diarrhea, hypertension, and stomatitis, and the most severe were nasal bleeding, diarrhea, heart failure, rhabdomyolysis, renal failure, QT prolongation, neutropenia, and severe fatigue. Dose reduction was required in eight patients, while five decided to terminate TKI therapy because adverse events impaired their everyday activities. During therapy, two patients showed a partial response and three showed stable disease. The lungs were the metastatic sites favoring a response to treatment.ConclusionPatient selection and meticulous pretreatment education are necessary in order to ensure adherence with TKI therapy. If adverse events appear, dose reduction or temporary treatment interruption may be offered because some adverse events resolve with continuation of treatment. In the event of serious adverse events, treatment discontinuation is necessary.
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