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Universal Time-Dependent Control Scheme for Realizing Arbitrary Linear Bosonic Transformations.

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  • 1School of Physics, Sun Yat-sen University, Guangzhou 510275, China.

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This study demonstrates a flexible method to transfer quantum states between bosonic modes with high fidelity. The control-based protocol enables arbitrary unitary transformations, advancing quantum computing and boson-sampling applications.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Many-Body Physics

Background:

  • Bosonic modes are fundamental in quantum systems.
  • Photonic quantum channels facilitate state transfer.
  • Controlling couplings is key for quantum state manipulation.

Purpose of the Study:

  • To implement arbitrary excitation-conserving linear transformations between bosonic modes.
  • To achieve high-fidelity quantum state transfer via a photonic channel.
  • To realize prespecified unitary transformations simultaneously with state transfer.

Main Methods:

  • Utilizing control pulses to manage individual couplings between modes and a photonic channel.
  • Developing a numerical algorithm for constructing these control pulses.
  • Analyzing the scaling and robustness of the protocol through examples.

Main Results:

  • Existence of control pulses for arbitrarily high-fidelity state transfer.
  • Simultaneous implementation of unitary transformations between mode sets.
  • Demonstration of a flexible, control-based scheme independent of hardware adaptations.

Conclusions:

  • The proposed control-based scheme offers a flexible approach for quantum state manipulation.
  • This method has broad applicability in boson-sampling, multiqubit state transfer, and continuous-variable quantum computing.
  • The protocol's robustness and scalability are discussed for practical implementation.