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Quantum Reports, Volume 5, Issue 4

2023 December - 4 articles

Cover Story: As the technology race for quantum computing draws worldwide attention, so too must the development and refinement of quantum algorithms grow to complement the computational power of these devices. Nearly 30 years since L. Grover’s famous quantum search algorithm, the fundamental building blocks of Amplitude Amplification are still being researched and adapted to solve problems that exceed current computational limits. However, the paradigm of quantum superposition, complex amplitudes, entanglement, and measurement collapse force one to abandon classical computational logic in favor of something entirely new. However, if we can control these physical properties, we may be well on our way toward a revolutionary era of unprecedented computational power. Dedicated to my father. View this paper
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Articles (4)

  • Article
  • Open Access
12 Citations
2,159 Views
15 Pages

Applications of Supersymmetric Polynomials in Statistical Quantum Physics

  • Iryna Chernega,
  • Mariia Martsinkiv,
  • Taras Vasylyshyn and
  • Andriy Zagorodnyuk

8 December 2023

We propose a correspondence between the partition functions of ideal gases consisting of both bosons and fermions and the algebraic bases of supersymmetric polynomials on the Banach space of absolutely summable two-sided sequences 1(Z0). Such...

  • Article
  • Open Access
7 Citations
3,979 Views
24 Pages

A Schrödinger Equation for Evolutionary Dynamics

  • Vi D. Ao,
  • Duy V. Tran,
  • Kien T. Pham,
  • Duc M. Nguyen,
  • Huy D. Tran,
  • Tuan K. Do,
  • Van H. Do and
  • Trung V. Phan

31 October 2023

We establish an analogy between the Fokker–Planck equation describing evolutionary landscape dynamics and the Schrödinger equation which characterizes quantum mechanical particles, showing that a population with multiple genetic traits evo...

  • Article
  • Open Access
4 Citations
4,152 Views
34 Pages

Variational Amplitude Amplification for Solving QUBO Problems

  • Daniel Koch,
  • Massimiliano Cutugno,
  • Saahil Patel,
  • Laura Wessing and
  • Paul M. Alsing

1 October 2023

We investigate the use of amplitude amplification on the gate-based model of quantum computing as a means for solving combinatorial optimization problems. This study focuses primarily on quadratic unconstrained binary optimization (QUBO) problems, wh...

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Quantum Rep. - ISSN 2624-960X