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Measurement-based quantum computation on two-body interacting qubits with adiabatic evolution.

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Researchers propose creating cluster states for quantum computing by weakening two-body interactions in spin-1/2 particles. This method ensures fault-tolerant quantum computation, overcoming limitations of unique ground states.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Quantum Computing

Background:

  • A fundamental challenge in quantum computing is the creation of robust quantum states.
  • Cluster states are crucial for measurement-based quantum computation but are difficult to realize as unique ground states of simple Hamiltonians.

Purpose of the Study:

  • To propose a novel method for generating cluster states of logical qubits.
  • To demonstrate the feasibility of creating these states using spin-1/2 particles and adiabatic techniques.
  • To ensure the generated states are suitable for fault-tolerant quantum computing.

Main Methods:

  • Encoding logical qubits in spin-1/2 particles.
  • Adiabatically weakening two-body interactions to drive the system into a cluster state.
  • Analyzing the impact of thermal fluctuations and finite-time adiabatic evolution.

Main Results:

  • A cluster state can be created by adiabatically weakening two-body interactions.
  • The proposed method is applicable to cluster states in any spatial dimension.
  • Errors from thermal fluctuations and finite-time evolution can be eliminated.

Conclusions:

  • The proposed adiabatic method provides a viable pathway to generate cluster states for quantum computing.
  • This approach offers a route to fault-tolerant quantum computation by overcoming inherent limitations of ground states.
  • The technique is general and applicable across various spatial dimensions, enhancing its practical utility.