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Area of Science:

  • Quantum Computing
  • Quantum Information Science
  • Computational Complexity

Background:

  • Quantum computations typically rely on a fixed sequence of quantum gates.
  • Existing models lack the flexibility to alter gate order dynamically.
  • This limitation restricts the types of transformations achievable in quantum algorithms.

Purpose of the Study:

  • To introduce and validate a more general model of quantum computing.
  • To demonstrate the physical realizability of controlling quantum gate order.
  • To explore the potential for reduced computational complexity using this new model.

Main Methods:

  • Proposing an interferometric setup for quantum control of gate order.
  • Analyzing the computational complexity of a problem solvable with the new model.
  • Comparing the query complexity against fixed-order quantum algorithms.

Main Results:

  • A physically realizable interferometric setup for quantum control of gate order is presented.
  • The proposed model solves a specific problem using O(n) blackbox queries.
  • This offers a significant advantage over fixed-order algorithms requiring O(n^2) queries.

Conclusions:

  • Quantum control of gate order represents a physically realizable and powerful extension to quantum computing.
  • This approach offers substantial reductions in computational complexity for certain problems.
  • The problem studied may require exponential time on classical computers, highlighting potential quantum advantage.