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Universal quantum computing using single-particle discrete-time quantum walk.

Shivani Singh1,2, Prateek Chawla1,2, Anupam Sarkar1,2

  • 1The Institute of Mathematical Sciences, C. I. T. Campus, Taramani, Chennai, 600113, India.

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This study demonstrates universal quantum gates for two- and three-qubit systems using discrete-time quantum walks. This quantum walk model simplifies gate realization and state engineering compared to circuit-based methods.

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Area of Science:

  • Quantum Information Science
  • Quantum Computation

Background:

  • Quantum computation relies on universal sets of quantum gates.
  • Quantum walks are fundamental primitives for quantum computation.

Purpose of the Study:

  • To realize a universal set of quantum gates on multi-qubit systems.
  • To leverage discrete-time quantum walks for quantum gate implementation.

Main Methods:

  • Utilizing operations from single-particle discrete-time quantum walks.
  • Employing the effective Hilbert space of a single qubit and its position space.
  • Implementing multi-qubit states and universal quantum gates.

Main Results:

  • Demonstrated realization of universal quantum gates for two- and three-qubit systems.
  • Showcased simpler non-trivial gate realization and arbitrary state engineering compared to circuit models.
  • Discussed model scalability and qubit reduction strategies for larger systems.

Conclusions:

  • Discrete-time quantum walks offer an efficient platform for universal quantum computation.
  • The proposed model simplifies complex quantum operations and state preparation.
  • The quantum walk approach shows promise for scalable quantum computing architectures.