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Vibrational computing: simulation of a full adder by optimal control.

L Bomble1, D Lauvergnat, F Remacle

  • 1Laboratoire de Chimie Physique, Université Paris-Sud, UMR 8000, Orsay F-91405, France.

The Journal of Chemical Physics
|February 20, 2008
PubMed
Summary
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This study demonstrates vibrational molecular quantum computing for full addition using bromoacetyl chloride. Quantum operations are performed on vibrational modes, achieving addition in picoseconds.

Area of Science:

  • Quantum Computing
  • Molecular Vibrational Spectroscopy
  • Quantum Information Science

Background:

  • Molecular vibrational modes can serve as qubits for quantum computation.
  • Implementing complex quantum logic gates, such as full adders, is crucial for advancing quantum computing.
  • Bromoacetyl chloride offers suitable vibrational modes for encoding quantum information.

Purpose of the Study:

  • To investigate the implementation of a full adder using vibrational molecular quantum computing.
  • To encode qubits into vibrational modes of bromoacetyl chloride.
  • To propose and analyze two distinct approaches for realizing the full addition operation.

Main Methods:

  • Encoding four qubits into four normal vibrational modes of bromoacetyl chloride.

Related Experiment Videos

  • Utilizing the ground and first excited states of each mode as the one-qubit computational basis.
  • Employing two methods: direct implementation via a single unitary transformation and decomposition into elementary quantum gates (CNOT and TOFFOLI).
  • Optimizing control fields using the multitarget extension of optimal control theory.

    • Main Results:

    • Successful implementation of a full adder using vibrational modes.
    • Demonstration of two distinct computational approaches.
    • Achieved addition cycle on the picosecond timescale.
    • Logic operations based on quasiclassical one-qubit flips.

    Conclusions:

    • Vibrational molecular systems are viable platforms for quantum computation, specifically for arithmetic operations.
    • The proposed methods offer efficient and rapid execution of quantum logic.
    • Further research can explore more complex algorithms and error correction in molecular quantum computing.