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Quantum Reports, Volume 7, Issue 1

March 2025 - 14 articles

Cover Story: Unleashing a new era in cancer care, this review explores the transformative power of quantum technologies—computing, sensing, and imaging—across diagnostics and therapeutics. In diagnostics, quantum-enhanced MRI, CT, and ultrasound enable early detection, while quantum control refines biopsy precision and biomarker detection using quantum dots and NV centers. Moreover, quantum AI analyzes multi-omics data, driving personalized diagnostics. In therapeutics, quantum innovations include surgical tools, radiation therapy, quantum chemistry for drug design, and machine learning for tailored immunotherapy. By harnessing quantum control, coherence, and entanglement and addressing infrastructure and ethical challenges, interdisciplinary collaboration will enable faster diagnoses, optimize therapies, enhance patient outcomes, and facilitate the realization of precision cancer care. View this paper
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Articles (14)

  • Article
  • Open Access
1,387 Views
21 Pages

The Bogomolny approach to the Ginzburg–Landau equations in the context of strong and semi-strong necessary conditions is formulated for various superconducting structures in a quasi-one-dimensional description, considering both flat and curved...

  • Feature Paper
  • Review
  • Open Access
12 Citations
5,995 Views
19 Pages

Optimization is a crucial challenge across various domains, including finance, resource allocation, and mobility. Quantum computing has the potential to redefine the way we handle complex problems by reducing computational complexity and enhancing so...

  • Review
  • Open Access
15 Citations
9,157 Views
31 Pages

A Comprehensive Review of Quantum Circuit Optimization: Current Trends and Future Directions

  • Krishnageetha Karuppasamy,
  • Varun Puram,
  • Stevens Johnson and
  • Johnson P. Thomas

Optimizing quantum circuits is critical for enhancing computational speed and mitigating errors caused by quantum noise. Effective optimization must be achieved without compromising the correctness of the computations. This survey explores recent adv...

  • Article
  • Open Access
1 Citations
1,886 Views
19 Pages

Quantum Computation of the Cobb–Douglas Utility Function via the 2D Clairaut Differential Equation

  • Isabel Cristina Betancur-Hinestroza,
  • Éver Alberto Velásquez-Sierra,
  • Francisco J. Caro-Lopera and
  • Álvaro Hernán Bedoya-Calle

This paper introduces the integration of the Cobb–Douglas (CD) utility model with quantum computation using the Clairaut-type differential formula. We propose a novel economic–physical model employing envelope theory to establish a link w...

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Quantum Rep. - ISSN 2624-960X